Suppose that a box contains 6 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random with replacement. Define the random variable X as the number of defective cameras in the sample. a. Write the binomial probability distribution for X. Round to two decimal places. P(X) X b. What is the expected value of X? Round to two decimal places.

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random, with replacement. Define the random variable � as the number of defective cameras in the sample.Write the probability distribution for �. � P(�=�)             What is the expected value of �?

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 64 times, keeping track of the numbers that are rolled. O Not binomial: the trials are not independent. Procedure results in a binomial distribution. O Not binomial: there are more than two outcomes for each trial. O Not binomial: there are too many trials.