When you generate a random number using your calculator the

When you generate a random number using your calculator, the random number you get is a realization of a uniform (0, 1) random variable. Suppose that 60 students in Stat 322 class each generate a random number independently, resulting in 60 random numbers. Let

X = the number of students who get a random number greater than 0.9.

(a) What is the distribution of X? That is, give the name and parameter values of the

distribution or write down the probability mass function.

(b) What is the expected number of students who get a random number greater than 0.9?

(c) What is the probability that 3 or less students get a random number greater than 0.9?

Solution