Q1.Determine whether the random variable is discrete or continuous.

The number of songs on an MP3 player. (Discrete/Continuous)

Q2.Which of the following probability experiments represents a binomial experiment?

A.Asking 50 adults the amount of their last cell phone bill

B.Asking 10 prisoners the number of crimes for which they were convicted

C.Asking 20 students the name of their favorite television show

D. Asking 30 homeowners if they would favor a new tax to support education

Q3.Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the expected number of marriages that will end in divorce.

Q4.xrepresents the number of computers in a household. Find the expected value of x (aka the mean) and the standard deviation of the number of computers in a household.

x P(x)

0 0.15

1 0.45

2 0.30

3 0.10

Q5.Suppose an exam consisted of 10 multiple choice problems, each with five possible responses (A-E), only 1 of which is correct.If a student randomly guesses the answers to each question then what is the probability that a student guesses the correct answer to exactly 7 questions?Additionally, what is the probability that a student passes the exam with a score of 70% or higher? (round to 5 decimal places)