The probability that a certain person will buy a hat is 0.12. The probability that he will buy a coat is 0.38 and the probability that he will buy a hat GIVEN that he buys a coat is 0.45. Find the probability that he will buy BOTH a hat and a coat. * 2 points
0.1575
0.2255
0.1710
0.1250

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3