# Question

a. A very large shipment of parts contains 10% defectives. Two parts are chosen at random from the shipment and checked. Let the random variable X denote the number of defectives found. Find the probability distribution of this random variable.

b. A shipment of 20 parts contains 2 defectives. Two parts are chosen at random from the shipment and checked. Let the random variable Y denote the number of defectives found. Find the probability distribution of this random variable. Explain why your answer is different from that for part (a).

c. Find the mean and variance of the random variable X in part (a).

d. Find the mean and variance of the random variable Y in part (b).

b. A shipment of 20 parts contains 2 defectives. Two parts are chosen at random from the shipment and checked. Let the random variable Y denote the number of defectives found. Find the probability distribution of this random variable. Explain why your answer is different from that for part (a).

c. Find the mean and variance of the random variable X in part (a).

d. Find the mean and variance of the random variable Y in part (b).

## Answer to relevant Questions

A student needs to know details of a class assignment that is due the next day and decides to call fellow class members for this information. She believes that for any particular call, the probability of obtaining the ...A factory manager is considering whether to replace a temperamental machine. A review of past records indicates the following probability distribution for the number of breakdowns of this machine in a week. a. Find the mean ...For a binomial probability distribution with P = 0.7 and n = 18, find the probability that the number of successes is equal to 12 and the probability that the number of successes is fewer than 6. Following a touchdown, a college football coach has the option to elect to attempt a two-point conversion; that is, two additional points are scored if the attempt is successful and none, if it is unsuccessful. The coach ...Determine the probability of more than 7 successes for a random variable with a Poisson distribution with parameter λ = 4.4.Post your question

0