Please solve 3.22 Hbed in part (a) independent? Explain. What is the probability
ID: 3041320 • Letter: P
Question
Please solve 3.22 Hbed in part (a) independent? Explain. What is the probability that all three cars chosen have antilock brakes? d Wh at is the probability that only one of the three cars chosen has antilock brakes? 3.21 survey was conducted to assess the effect of the information superhighway on businesses in the United States. Bascd on this survey of senior marketing executives, 40% said that they would use the information superhighway to interact directly with customers, 36% said they would not, and 24% didn't know. a If a senior marketing executive is chosen at random, what is the probability that she would use the information superhighway to interact directly with customers? b If two senior marketing executives are randomly chosen, what is the probability that only one would use the information superhighway to directly interact with customers? An article in Consuner Reports ("Ratings: Interior Latex Paints," 1994) ranked 35 brands of interior latex paint using the qualitative classification shown below 3.22 Rating Number of Brands Excellent Very good Good Fair Poor 2 0.0v 21 O. 11 0.3 l 0.03 Suppose that a consumer selects one of the 35 brands at random. a What is the probability that the consumer selects an "excellent" brand? b What is the probability that the consumer selects a brand that is rated at least "good" c What is the probability that the consumer selects a brand that is not rated "'very good" or "excellent"? d If the consumer selects two diferent brands to compare, what is the probability that both of the brands were rated "very good" A sprinkler system used on commercial buildings is designed so that each sprinkler can be activated by two independent devices. The sprinkler will function if either of the two devices 3.23Explanation / Answer
a) P(excellent) = 0.06
b) P(at least good) = P(good) + P(very good) + P(excellent) = 0.31 + 0.6 + 0.06 = 0.97
c) P(not very good and not excellent) = 1 - [P(very good) + P(excellent)] = 1 - (0.6 + 0.06) = 0.34
d) P(both are rated very good) = P(very good)2 = 0.62 = 0.36