# Question: Every Tuesday Jason s Video has roll the dice day A customer may

Every Tuesday, Jason’s Video has “roll-the-dice” day. A customer may roll two fair dice and rent a second movie for an amount (in cents) determined by the numbers showing on the dice, the larger number first. For example, if the customer rolls a one and a five, a second movie may be rented for $0.51. Let x represent the amount paid for a second movie on roll-the-dice Tuesday.

a. Use the sample space for the rolling of a pair of dice and express the rental cost of the second movie, x, as a probability distribution.

b. What is the expected mean rental cost (mean of x) of the second movie on roll-the-dice Tuesday?

c. What is the standard deviation of x?

d. Using a computer and the probability distribution found in part a, generate a random sample of 30 values for x and determine the total cost of renting the second movie for 30 rentals.

e. Using a computer, obtain an estimate for the probability that the total amount paid for 30 second movies will exceed $15.00 by repeating part d 500 times and using the 500 results.

a. Use the sample space for the rolling of a pair of dice and express the rental cost of the second movie, x, as a probability distribution.

b. What is the expected mean rental cost (mean of x) of the second movie on roll-the-dice Tuesday?

c. What is the standard deviation of x?

d. Using a computer and the probability distribution found in part a, generate a random sample of 30 values for x and determine the total cost of renting the second movie for 30 rentals.

e. Using a computer, obtain an estimate for the probability that the total amount paid for 30 second movies will exceed $15.00 by repeating part d 500 times and using the 500 results.

**View Solution:**## Answer to relevant Questions

Consider the four-question multiple-choice quiz presented at the beginning of this section a. Explain why the four questions represent four independent trials. b. Explain why the number 4 is multiplied into the P(x _ 1) c. ...A carton containing 100 T-shirts is inspected. Each T-shirt is rated “first quality” or “irregular.” After all 100 T-shirts have been inspected, the number of irregulars is reported as a random variable. Explain why ...Use the probability function for three coin tosses as demonstrated on page 239 and verify the probabilities for x _ 0, 2 and 3. A social worker is involved in a study about family structure. She obtains information regarding the number of children per family in a certain community from the census data. Identify the random variable of interest, ...A January 2005 survey of bikers, commissioned by the Progressive Group of Insurance Companies, showed that 40% of bikers have body art, such as tattoos and piercings. A group of 10 bikers are in the process of buying ...Post your question