Probability and statistics

Question

A car dealer is going to give away a new car. Each of 460 contestants has been given a key, and only one of those keys will start the car to be given away. The keys are randomly numbered from 1 to 460, and randomly distributed to the contestants. Let X be the number of the key that starts the car.

(a) Identify the probability distribution for the X.

Distribution = 

Parameter =    

(b) You have been given a key. Compute the probability that your key starts the car.

.P(you win) =   

 (c) Anyone whose key is numbered from 33 to 72 (inclusive of the endpoints) will receive a coupon worth $1000 off the price of a new car. What is the probability that you will receive one of these coupons?

P(get coupon) =   

 (d) Calculate the mean and standard deviation for X, the number of the key that starts the car.

 =    

 = 

Answer 1