Week 2 Homework

Consider the following table. What is probability of yes, given green? 14/42

(33,44,14,91,18,5,28,51,51,49,42,142)

Match the terms and their definitions

0 and 1 = Probability is Between 1 - P(E) = Complement of an event The occurrence of one event does not affect the occurrence of the other = Independent Events Cannot occur at the same time = Mutually exclusive events Probability of an event given that another event has occurred = Conditional Probability

In a sample of 780 adults, 209 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

1.90%

Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

10.5%

Of the shirts produced by a company, 5.5% have loose threads, 8.5% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

10.5%

An investment advisor believes that there is a 28% chance of making money by investing in a specific stock. If the stock makes money, then there is a 43% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

12%

In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

12.19%

In a sample of 350 customers, 125 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

12.69%

A card is randomly selected from a standard deck of 52 cards. What is P(face card)?

12/52

Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.

13.0%

Given that there is a 21% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

13.1%

Given that there is a 23% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

13.6%

A card is randomly selected from a standard deck of 52 cards. What is P(heart)?

13/52

An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

14%

In a sample of 587 customers, 308 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?

14.38%

Given that there is a 28% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days?

14.5%

Consider the following table. What is the probability of red, given yes?

15/36 (15,21,36,38,13,51,53,34,87)

An investment advisor believes that there is a 28% chance of making money by investing in a specific stock. If the stock makes money, then there is a 43% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

16%

An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

16%

In a sample of 800 adults, 228 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

2.29%

In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

2.74%

A sock drawer has 17 folded pairs of socks, with 8 pairs of white, 5 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

22.06%

In a sample of 487 customers, 301 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?

23.52%

A sock drawer has 17 folded pairs of socks, with 7 pairs of white, 6 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

24.26%

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

26.47%

In a sample of 80 adults, 28 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.

26.90%

A card is randomly selected from a standard deck of 52 cards. What is P(red)?

26/52

Consider the following table. What is the probability of green, given no?

28/51 (33,44,14,91,18,5,28,51,51,49,42,142)

In a sample of 784 adults, 258 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

3.54%

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

30%

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

30%

In a sample of 80 adults, 25 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.

31.93%

In a sample of 80 adults, 24 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend.

33.74%

An investment advisor believes that there is a 74% chance of making money by investing in a specific stock. If the stock makes money, then there is a 54% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend.

34%

Consider the following table. What is the probability of yes?

36/87 (15,21,36,38,13,51,53,34,87)

A smartphone company found in a survey that 17% of people did not own a smartphone, 18% owned a smartphone only, 29% owned a smartphone and only a tablet, 21% owned a smartphone and only a computer, and 15% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer only?

39%

An investment advisor believes that there is a 74% chance of making money by investing in a specific stock. If the stock makes money, then there is a 54% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend.

40%

A smartphone company found in a survey that 20% of people did not own a smartphone, 28% owned a smartphone only, 14% owned a smartphone and only a tablet, 13% owned a smartphone and only a computer, and 25% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer only?

41%

A smartphone company found in a survey that 6% of people did not own a smartphone, 15% owned a smartphone only, 26% owned a smartphone and only a tablet, 32% owned a smartphone and only a computer, and 21% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer only?

47%

Consider the following table. What is the probability of blue?

49/142 (33,44,14,91,18,5,28,51,51,49,42,142)

Consider the following table. What is the probability of no?

51/87 (15,21,36,38,13,51,53,34,87)

Consider the following table. What is the probability of red?

53/87 (15,21,36,38,13,51,53,34,87)

A smartphone company found in a survey that 14% of people did not own a smartphone, 31% owned a smartphone only, 17% owned a smartphone and only a tablet, 25% owned a smartphone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer only?

56%

A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with number less than 4, or a number greater than 9?

57.1%

A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with number less than or equal to 4, or a number greater than 10?

57.1%

A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that one purchase results in a selection of a cracker with an even number or a number less than 5?

64.3%

A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with an odd number, or a number greater than 11?

64.3%

In a sample of 528 customers, 484 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service?

76.99%

In a sample of 350 customers, 105 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

8.94%

According to company records, the probability that a washing machine will break in the first year is 4%. This would be considered: Empirical probability

A quality control officer states that there is a 0.03 probability that a randomly chosen part is defective. This would be considered: Empirical probability

The probability of drawing one card and getting queen is 4/52. This would be considered: Classical probability

A student believes that there is a 90% probability of getting an A on the next test. This would be considered: Subjective probability

A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?

Dependent

One event is a father being right handed. The other event is that his daughter is right handed. How would you classify these events?

Dependent

A salesperson purchases the deli's specialty sandwich one day, and a mechanic purchases the deli's specialty sandwich the next day. How would you classify these events?

Independent

Some days, the CEO holds meetings and some days the CEO is wearing blue shoes. How would you most likely classify these events?

Independent

Randomly select a customer that is a frequent shopper at our store. Randomly select a customer who does not know the store's location. Are these events mutually exclusive?

Mutually exclusive events

Randomly select a customer that is happy with the company. Randomly select a customer who is elderly. Are these events mutually exclusive?

Non-mutually exclusive events

Randomly select a customer that is happy with the store. Randomly select a customer who infrequently shops at the store. Are these events mutually exclusive?

Non-mutually exclusive events

Given the following information, find the probability that a randomly selected dog will be a golden retriever.

Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 | 39.5%

Given the following information, find the probability that a randomly selected dog will not be a golden retriever.

Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 | 60.5%

Given the following information, find the probability that a randomly selected student will be very tall.

Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 | 10.1%

Given the following information, find the probability that a randomly selected student will be very short

Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 | 21.6%

Given the following information, find the probability that a randomly selected student will be short or very short.

Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 | 50.5%