Math 1342 Test 3

Find the Z-Score for which the area under the standard normal curve to its left is 0.04

-1.75

Determine the two Z-Scores that separate the middle 96% of the distribution from the area in the tails of the standard normal distribution.

-2.05 and 2.05

High temperature in a certain city for the month of August follow a uniform distribution over the interval 67*F to 94*F. What is the probability that a randomly selected August day has a high temput=rateure that exceeded 72*F?

.8148

Find the area under the standard normal curve between z=1.5 and z=2.5

0.0606

Investment in new issues (the stock of newly formed companies) can be both suicidal and rewarding. Suppose that an investor had selected two of these 300 companies back in 2010. Find the probability that at least one of the investor's companies had outstanding prospects. Round to seven decimals places.

0.0785284

Suppose a uniform random variable can be used to describe the outcome of an experiment with the outcomes ranging from 30 to 90. What is the probability that this experiment results in an outcome less than 40?

0.17

Suppose that E and F are two events and that P(E)=0.5 and P(F|E)=0.6 What is P(E and F)? Round to three decimal places.

0.300

If P(A)=0.4, P(B)=0.7, and P(A or B)=0.7, and P(A and B)=.

0.4

The probability that a region prone to hurricanes will be hit by a hurricane in any single years is 1/5. What is the probability of a hurricane at least once in the next 5 years?

0.672320

Find P(A or B) given that P(A)=.6 P(B)=.1, and A and B are mutually exclusive.

0.7

A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear sunglasses? Round to the nearest thousandth.

0.850

7P0

1

5C3

10

From 10 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible

210

A player is dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is stuffed, and the player draws again. Find the probability of the player getting a picture card the first time and a heart the second time. Express the probability as a simplified fraction.

3/52

The sample space for tossing three fair coins is {HHH,HHT,HTH,HTT, THH,THT,TTH,TTT}. What is the probability of exactly two heads?

3/8

How many different four-letter codes can be formed if the first letter must be an S or a T? (Repetitions are allowed)

35,152

A company makes skirts in 15 different styles. each style comes in two different fabrics and four different colors. How many skirts are available from this company?

40

9!/7!

72

How many arrangements can be made using 3 letters of the word HYPERBOLAS if no letter is to be used more than once

720

The pressure of water coming out of a fire hose

Continuous

Two events are _______________ if the occurrence of event E in a probability experiment charges the probability of event F in the same experiment

Dependent

The number of bottles of juice sold in a cafeteria during lunch

Discete

The probability that event A will occur is P(A)= Number of successful outcomes / Number of unsuccessful outcomes

False

Two events are _____________ if the occurrence of event E in a probability experiment does not affect the probability of event F in the same experiment

Independent

Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C and C are the only sample points in an experiment?

P(A)= 0, P(B)= 1/7, P(C)= 6/7

Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute P(x>19) from the binomial distribution we must compute _________ as the normal approximation.

P(x>18.5)

The area under the normal curve drawn with regard to the population parameter is the same as the probability that a randomly selected individual of a population has these characteristics

True

The area under the normal curve drawn with regard to the population parameter is the same as the proportion of the population has these characteristics

True

The probability of an event E in an empirical experiment may change from experiment to experiment

True

The probability of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same chacterstics

True