Question 1

A fair coin is flipped three times. What is the probability of getting exactly two heads?

Accepted Answer

$$\frac{3}{8}$$

Question 2

If $$P(A) = 0.33$$, what is $$P(A')$$, the probability of the complement of event $$A$$?

Accepted Answer

$$0.67$$

Question 3

You pick a card at random from a well-shuffled deck. What is the probability that you get a face card or a spade?

Accepted Answer

$$\frac{25}{52}$$

Question 4

In a town, 28% of all voters are Democrats. If two voters are randomly selected for a survey, what is the probability that they are both Democrats? Round to the nearest thousandth.

Accepted Answer

$$0.078$$

Question 5

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a Queen. Express your answer as a simplified fraction.

Accepted Answer

$$\frac{4}{663}$$

Question 6

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. Round to the nearest thousandth.

Accepted Answer

$$0.999$$

Question 7

A table shows that 43 out of 48 Fedtrux Airlines flights were on time, and 5 were late. If one of the 87 flights (including other airlines) is randomly selected, what is the probability that the flight selected arrived on time?

Accepted Answer

$$\frac{77}{87}$$

Question 8

Evaluate the expression $$\frac{11!}{9!\,2!}.$$

Accepted Answer

$$55$$

Question 9

There are 10 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?

Accepted Answer

$$252$$

Question 10

A musician plans to perform 5 selections. In how many ways can she arrange the musical selections?

Accepted Answer

$$120$$

Question 11

Identify the given random variable as being discrete or continuous: The number of oil spills occurring off the Alaskan coast.

Accepted Answer

Discrete

Question 12

A group of 10 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number per group who recognize the Famous brand name is 4.8, and the standard deviation is 0.89. Would it be unusual to randomly select 10 people and find that greater than 9 recognize the Famous brand name?

Accepted Answer

Yes

Question 13

Given the probability distribution: $$P(X=0)=0.001$$, $$P(X=1)=0.012$$, $$P(X=2)=0.061$$, $$P(X=3)=0.122$$, $$P(X=4)=0.183$$, $$P(X=5)=0.183$$, $$P(X=6)=0.146$$, $$P(X=7)=0.098$$, $$P(X=8)=0.061$$, $$P(X=9)=0.033$$, $$P(X=10)=0.018$$, what is the probability of selecting 9 or more girls?

Accepted Answer

$$0.051$$

Question 14

Assume that a procedure yields a binomial distribution with a trial repeated $$n$$ times. Use the binomial probability formula to find the probability of $$k$$ successes given the probability $$p of $$success on a single trial. If $$n=10$$, $$k=2$$, $$p=\frac{1}{3}$$, round your answer to three decimal places.

Accepted Answer

$$0.195$$

Question 15

Find the probability of at least 2 girls in 7 births. Assume male and female births are equally likely. Round to three decimal places.

Accepted Answer

$$0.945$$

Question 16

The brand awareness of a certain chain of coffee shops has a 48% recognition rate in the town of Coffeeland. If a marketing company is hired to interview a random sample of 10 town residents, what is the probability that exactly 5 of them recognize the brand name? Use the binomial probability formula and round your answer to three decimal places.

Accepted Answer

$$0.246$$

Question 17

Find the mean $$\mu$$ for the binomial distribution which has the stated values of $$n$$ and $$p. $$Round your answer to the nearest tenth. $$n=57$$, $$p=0.82$$

Accepted Answer

$$46.7$$

Question 18

Find the standard deviation $$\sigma$$ for the binomial distribution which has the stated values of $$n$$ and $$p. $$Round your answer to the nearest hundredth. $$n=60$$, $$p=0.12$$

Accepted Answer

$$2.53$$

Question 19

According to a college survey, 32% of all students work full time. Find the mean for the number of students who work full time in samples of size 16.

Accepted Answer

$$5.12$$

Fundamental Concepts and Applications in Introductory Statistics

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