Unit 4 Stats Ap Exam Review

Julio sells computers at an electronics store. Let the random variable C represent the number of computers that Julio sells in one week. The following table shows the probability distribution of C. Julio earns $800 per week, with a commission of $200 per computer sold. What is the expected value of Julio's earnings for one week?

$1,462

Parker has a part-time job picking apples. Let the random variable A represent the number of baskets of apples picked each day. The distribution of A has mean 4.5 baskets and standard deviation 1.3 baskets. Parker is paid $65 per day plus $5 per basket. What are the mean μ and standard deviation σ of Parker's daily pay?

μ=$87.50 and σ=$6.50

Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable W represent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubs found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W and G. Assume that the distributions of worms and grubs are independent. What are the mean, μ, and standard deviation, σ, for the total number of worms and grubs in 1 square foot of soil?

μ=5.28 and σ=1.67

A hockey all-star game has the Eastern Division all-stars play against the Western Division all-stars. On the Eastern Division team there are 8 United States-born players, 14 Canadian-born players, and 2 European-born players. On the Western Division team there are 12 United States-born players, 8 Canadian-born players, and 4 European-born players. If one player is selected at random from the Eastern Division team and one player is selected at random from the Western Division team, what is the probability that neither player will be a Canadian-born player?

160/576

At a large university, data were collected on the number of sisters and brothers that each student had. Let the random variable XX represent the number of sisters and the random variable YY represent the number of brothers. The distribution of XX has mean 1.00 and standard deviation 0.94. The distribution of YY has mean 1.07 and standard deviation 1.04. What is the mean of the distribution of X+YX+Y ? 1.98

2.07

The following table shows the probability distribution for the prize amounts that will be awarded at a school raffle. Prize$1$5$10$20$50Probability0.600.300.050.040.01 Let the random variable PP represent a randomly selected prize amount. What is the expected value of PP ?

3.90

Let random variable SS represent the age of the attendees at a local concert. The following histogram shows the probability distribution of the random variable SS. Alfonso claims that the distribution of SS is symmetric with a mean age of 36. Does the histogram support Alfonso's claim?

No, the distribution is skewed to the left with a mean age greater than 36.

Let random variable XX represent the number of movies screening at movie theaters in a certain city. The following table shows the cumulative probability distribution of the discrete random variable XX.

No, the distribution is skewed to the right with mean greater than 4 movies.

Given independent events AA and BB such that P(A)=0.3P(A)=0.3 and P(B)=0.5P(B)=0.5, which of the following is a correct statement?

P(A∪B)=0.65

While investigating customer complaints, the customer relations department of Sonic Air found that 15 percent of the flights arrive early and 25 percent arrive on time. Additionally, 65 percent of the flights are overbooked, and 72 percent are late or not overbooked. One Sonic Air flight will be selected at random. What is the probability that the flight selected will be late and not overbooked?

0.23