Exam 5: Discrete Random Variables

Determine the required probability by using the Poisson approximation to the binomial distribution. Round to threedecimal places. -The probability that a call received by a certain switchboard will be a wrong number is 0.01. Use the Poisson approximation to the binomial distribution to find the probability that among 120 calls Received by the switchboard, there are at least two wrong numbers.

Determine the possible values of the random variable. -Suppose a coin is tossed four times. Let X denote the total number of tails obtained in the four tosses. What are the possible values of the random variable X?

Construct a probability histogram for the binomial random variable, X. -A baseball player batting 0.300 comes to bat 4 times in a game. X is the number of hits.