Flaws in plate glass used for large office buildings occur randomly at an average of 1 per 10 square feet. PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS. . . . a) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws? The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain less than 2 flaws is b) What is the probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw? The probability that a 6 ft. by 10 ft. sheet of this type of glass will contain at least 1 flaw isCustomers arrive randomly at a checkout counter at an average rate of 2 every five minutes. PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS. a) What is the probability that none arrive in a five minute period? The probability that none arrive in a five minute period is b) What is the probability that more than four arrive in a ten minute period? The probability that more than four arrive in a ten minute period isAssume that for an ad campaign to be successful, at least 81% of those seeing a television commercial must be able to recall the name of the company featured in the commercial one hour after viewing the commercial. Before distributing an ad campaign nationally, an advertising company plans to show the commercial to a random sample of 15 people. It will also show the same people two additional commercials for different products or businesses. Complete parts a through c. a. Assuming that the advertisement will be successful (85% will be able to recall the name of the company in the ad), what is the expected number of people in the sample who will recall the company featured in the commercial one hour after viewing the three commercials? b. Suppose that in the sample of 14 people, 8 were able to recall the name of the company in the commercial one hour after viewing. Based on the premise that the advertising campaign will be successful, what is the probability of 8 or fewer people being able to recall the company name? c. Based on the results of parts a and b, what conclusion might the advertising executives make about this particular advertising campaign? A company that translates books between various languages is currently testing a computer-based translation service. The founder of the company expects the computer program to make some errors, but then so do human translators. The computer error rate is supposed to be an average of 2 per 500 words of translation. Suppose the company founder randomly selects a 1,500-word passage. Assume that the Poisson distribution applies and that the computer error rate is actually 2 errors per 500 words. Complete parts a through d. a. Determine the probability that no errors will be found.b. Calculate the probability that more than 26 errors will be found.\fd. If 27 errors are found in the 2,100word passage, what would you conclude about the computer company's claim? Why? Binomial Distribution. We conduct 8 trials with a probability 1'r=.63 of success. (Round all answers to 3 decimal places as needed.) E) (a) Find the probability of exactly 3 successes P(X = 3) |_| (b) Find the probability of (strictly) less than 3 successes P(X3) D (e) Find the probability of 3 or more successes P(X23) |:|