omial distribution in Section 4.3. c. P(x = 2) when A = 3 here: d. What happens to the probability of the event (x = 2) as A increases from 1 to 3? Is this intuitively reasonable? 4.66 Suppose x is a random variable for which a Poisson probabil- idom variable? ity distribution with A = 5 provides a good characterization. a. Graph p(x ) for x = 0, 1, 2, . . . , 15. tribution? b. Find u and o for x and locate u and the interval cS6. # + 20 on the graph. of x. c. What is the probability that x will fall within the inter- g a Poisson prob- valu + 20? se statistical soft- 4.67 Suppose you plan to sample 10 items from a population of 4.72 100 items and would like to determine the probability of 23) = 0) observing 4 defective items in the sample. Which probabil >6) ity distribution should you use to compute this probability under the conditions listed here? Justify your answers. om variable, com- a. The sample is drawn without replacement. b. The sample is drawn with replacement. 4.68 Giv