Ho 2.19) As discussed in Exercise 2.11. in a class of 60 students. 13 could not roll their tongue, 17 had attached earlobes, and 10 could roll their tongues and had attached earlobes. A student is randomly selected from this class. Find the probability that the selected student: can roll his or her tongue. b could not roll his or her tongue and had attached earlobes. could either roll his or her tongue or had attached earlobes but not both. 2.20 a C 2.24 Of the 1.6 million computer systems designers in the United Sates (as of 2005), 26,6% are female. With respect to ethnicity, 73.7% are White, 6.1% are Black or African American, 15.9% are Asian and 4.3% Hispanic or Latino Of the 0.251 million working in veterinarian services, 76.1% are female, 92.5% are White, 1.8% are Black or African American, 0.8% are Asian, and 4.9% are Hispanic or Latino. a Construct a meaningful table to compare the numbers of computer systems designers and veterinarian services workers by sex. b Construct a meaningful table to compare the numbers of computer systems designers and veterinarian services workers by ethnic group. WULKIS SIDUI De pune. 2.27 For events A and B, using the axioms of probability, prove that P(AB) = P(A). 228 wa uchun 2.54 A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distributors, and a distributor may receive multiple orders. Find the probabilities of the following events. All orders go to different distributors. = 60 b All orders go to the same distributor C Exactly two of the three orders go to one particular distributor. 2.63 Suppose that N people at a restaurant check their coats. The attendant loses the tickets so at the end of the evening he hands each of the N people a coat at random from among those that were checked. What is the probability that: a exactly get the proper coat? b none get the proper coat? 0.9 2 0.2 0.6 0.8 3.67 0.9 is the probability that current will flow from s to when the switch is thrown? 0.9 0.8 0.6 4 0.7 0.8 0.9 A portion of an electrical circuit is displayed next. The switches operate independently of each other, and the probability that each relay closes when the switch is thrown is displayed by the switch. What 3.44 A diagnostic test for a certain disease has 95% sensitivity and 95% specificity. Only 1% of the population has the disease in question. If the diagnostic test reports that a person chosen at random from the population tests positive, what is the conditional probability that the person does, in fact, have the disease? Are you surprised by the size of the answer? Do you consider this diagnostic test reliable? dialy Tall 16 JUILS Tevords for a car dealership show that it will sell 0. 1.2 or 3 cars, with probabilities as Tour hres was caused by cooking, listed: Number of Sales 0 1 2 3 92 Probability 0.5 0.3 0.15 0.05 Find the probability distribution for X, the number of sales in a 2-day period, assuming that the sales are independent from day to day. b. Find the probability that two or more sales are made in the next 2 days. 4.8 Four microchips, two of which are defective, are to be placed in a computer. Two of the four chips are randomly selected for inspection before the computer is assembled. Let X denote the number of defective chips found among the two inspected. a Find the probability distribution for X. b Find the probability that no more than one of the two inspected chips was defective. complete hole 7 to be the following: F(x) =