Question 1: Kunal is trying out for the school football team. He wants to know how far he can kick the ball for a field goal. The table shows the data from 20 trials. Field Goal Distance (yd) 17 27 31 25 25 44 35 24 31 48 42 48 45 34 41 38 40 43 45 21 a) Determine the mean and standard deviation of the data. b) What is the probability that Kunal kicks a distance of less than 30 yd? c) What is the probability that Kunal kicks a distance of 20 yd to 40 yd? Question 2: Frank's Footlongs sells hot dogs at the beach. Analysis of his sales shows that the number of hot dogs sold on a given day follows a normal distribution with a mean of 120 and a standard deviation of 1 1. a) Is it reasonable to treat these data as if d) Frank's season lasts from May 1 until they formed a continuous distribution? September 30. On how many days should Give a reason for your answer. he expect to sell between 100 and 140 hot b) What is a reasonable minimum number dogs? of hot dogs and buns for Frank to have e) Should he expect to sell 200 or more on hand at the beginning of the day? Give hot dogs on at least one day during reasons for your answer. the season? Support your answer c) What is the probability that the stand with numbers. will sell fewer than 25 hot dogs on a given day?Question 3: Application Honey jars from the farm where Doris works say they contain 500 g of honey. The table shows the actual amounts from a sample of 30 jars. Mass of Honey (g) 503 505 504 500 502 505 506 502 501 501 503 501 502 506 504 505 505 503 504 501 499 501 502 504 502 500 501 503 506 504 a) Determine the mean and standard deviation of the sample of honey jars. b) What percent of the data in the table actually fall within one standard deviation of the mean? c) How does the answer in part b) compare to the expected percent of the data within one standard deviation of the mean