Statistics Chapter 6

Pepsi is running a sales promotion in which 12% of all bottles have a "FREE" logo under the cap.  If you buy a 6-pack of bottles, what is the probability that you will find at least 1 "FREE" logo?

• .464

• .536

• .12

• 0

P(Freshman or Pizza):

• 27/50

• 4/50

• 3/50

• 30/50

Mary is a good student. The overall probability that she studies is 0.80. The probability that she studies and that she passes her test is 0.60. What is the probability that she passes given that she studies?

• 0.75

• 0.25

• 0.20

• 0.60

What is the probability that they speak French given they are a girl? 

• 2.14

• .24

• .4

• .8571

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

Given the following VENN Diagram answer the following.

P( A | B )

• 2

• 2/3

• 3/2

• .8

What is P(Foreign language | Sport)?

• 14/27

• 7/12

• 23/47

• 37/47

John maintains two separate lines of lobster traps in Penobscot Bay. The East Bay trap produces a mean of 12 pounds of lobsters per day with a standard deviation of 7 pounds. The West Bay trap produces a mean of 10 pounds of lobsters a day with a standard deviation of 4.5 pounds. The weight of lobsters produced by each trap is independent of the other. Which of the following are the mean and approximate standard deviation of the total weight of lobsters John traps in a day?

• Mean = 22 pounds; Standard deviation = 5.75 pounds

• Mean = 22 pounds; Standard deviation = 8.32 pounds

• Mean = 22 pounds; Standard deviation = 11.50 pounds

• Mean 11 pounds; Standard deviation = 11.50 pounds

• Mean = 11 pounds; Standard deviation = 8.32 pounds

At a carnival, a particular game requires the player to spin a wheel. When a child plays, the game operator allows them to continue to spin the wheel until they win a prize. Define X = the number of spins a child takes until they win a prize. Which, if any, of the following requirements for X to be a binomial random variable is violated in this setting?

Which of the following is the probability that the insurance company will have to pay a claim of at least $1000 for a randomly selected car of this model?