Statistics Chapters 3-4

A certain lottery has 29 numbers. In how many different ways can 4 of the numbers be​ selected? (Assume that order of selection is not​ important.)

23751

A study found that 35​% of the assisted reproductive technology​ (ART) cycles resulted in pregnancies.​ 26% of the ART pregnancies resulted in multiple births. ​(a) Find the probability that a random selected ART cycle resulted in a pregnancy and produced a multiple birth. ​(b) Find the probability that a randomly selected ART cycle that resulted in a pregnancy did not produce a multiple birth. ​(c) Would it be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple​ birth? Explain.

(a) .019 (b) .74 (c) No, this is not unusual because the probability is not less than or equal to 0.05.

In a sample of 1000 U.S.​ adults, 174 dine out at a restaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.​ adults, complete parts​ (a) through​ (d).

(a) Find the probability that both adults dine out more than once per week. - .03 (b) Find the probability that neither adult dines out more than once per week. - .682 (c) Find the probability that at least one of the two adults dines out more than once per week. - .318 ​(d) Which of the events can be considered​ unusual? Explain. Select all that apply. - the event in part (a) is unusual because its probability is is less than or equal to .05

Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the second card is selected. Find the probability of selecting a heart and then selecting a jack. The probability of selecting a heart and then selecting a jack is ____

.019

A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 165?

0

A probability experiment consists of rolling a four​-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual. ​ Event: rolling a number less than 3 and the spinner landing on yellow Can the event be considered​ unusual?

0.125 No​, because the probability is not close enough to 0

A probability experiment consists of rolling a fair 6​-sided die. Find the probability of the event below. rolling a number greater than 5

0.167

Determine which numbers could not be used to represent the probability of an event.

1. 64/25, because probability values cannot be greater than 1. 2. -1.5, because probability values cannot be less than 0.

Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main​ dish, a vegetable​ dish, and two different desserts. The astronauts can choose from 10 main​ dishes, 7 vegetable​ dishes, and 14 desserts. How many different meals are​ possible?

6370

Determine the number of outcomes in the event. Decide whether the event is a simple event or not. Upper A computer is used to select randomly a number between 1 and 9 comma inclusive. Event Upper C is selecting a number greater than 6. Event Upper C has 3 outcomes. Is the event a simple event?

No, because C has more than one outcome

Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing an even number between 10 and 20 comma inclusive

The sample space is (10,12,14,16,18,20) There are 6 outcomes of sample space

For the given pair of​ events, classify the two events as independent or dependent. -Finding that your cell phone works. -Finding that your dvd player works

The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other