The data represent assessment of the number of months a boat cover was used until it became unserviceable. Complete parts a through c below. Click the icon to view the data. a. Produce a frequency distribution for these data. Convert the frequency distribution into a probability distribution using the relative frequency assessment method. Construct a frequency distribution. Data table Possible Values of Frequency(x) X 14 Number of Months 21 15 16 22 20 17 23 19 16 20 20 20 19 17 18 20 21 17 21 22 23 21 18 18 16 21 17 18 18 19 22 20 18 19 20 21 19 15 19 21 19 22 19 17 22 18 18 20 19 17 23 20 19 20 22 Convert the frequency distribution into a probability distribution using the relative frequency assessment method. 17 18 21 19 21 18 15 19 18 Possible Values of P(x) 19 20 20 20 19 23 16 18 20 20 14 19 20 19 19 15 20 19 17 16 16 20 17 15 16 17 20 17 21 20 16 18 18 22 20 20 20 17 20 20 19 14 10080 Print Done4 23 (Type integers or deCimals.) b. Calculate the expected value and standard deviation for the time until the covers became unserviceable. E(x) = (Type an integer or a decimal.) 5x = (Round to three decimal places as needed.) c. The quality-control department thinks that among those covers, the majority last longer than 19 months. Produce the relevant statistic to verify this assumption. Forthe majority of the covers to last longerthan 19 months, P(x219) would have to be at least 0.5. Here, P(x219) and the quality-control department is correct. A large grocery store chain believes that 82% of its customers use the store's \"Savings Card" when they make purchases. The manager in charge of the "Savings Card" program has randomly sampled 21 customers and observed whether or not they used the card. Complete parts a through c. a. Assuming that the 82% use rate is correct, what is the probability that 18 or more people in the sample used the card? The probability is . (Round to four decimal places as needed.) b. Repeatthe calculation in part a assuming that the use rate is 77%; that it is 87%. If the use rate is 77%, the probability is (Round to four decimal places as needed.) If the use rate is 87%, the probability is (Round to four decimal places as needed.) 0. Based on your calculations. it18 peo la in the sample used the card. which of the three use rates do you think is most accurate? Explain. Choose the correct answer below. . The 82% use rate is the most accurate because it is the closest to the expected value. . The 87% use rate is the most accurate because it is the closest to the expected value. . The 77% use rate is the most accurate because it is the furthest from the expected value. . The 77% use rate is the most accurate because it is the closest to the expected value