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- can you solve this for me by showing step by step for each question? Acme Food manufactures and sells bags of doughnuts whose weights follow a normal distribution with a mean of 400g and standard deviation 8g. a) Find the probability that a bag of doughnuts weights less than 410g b) Find P (X>412) c) Find P (395 < X < 404) d) The company can be prosecuted if the bags are less than 380g, if the company sells 50 bags per day find the expected number of bags under this weight. e) On a typical day 1.22% of bags are rejected as they are too heavy. Find the rejection weight.JUR 1. Suppose the lifetime of a particular brand of light bulbs is exponentially distributed with a mean of 400 hours. a) Find the probability that a randomly selected light bulb would last over 500 hours. b) Find the probability that a randomly selected light bulb would last under 300 hours. lu colected light bulbs would last over 500 67Crash Commercial airplanes have an excellent safetyrecord. Nevertheless, there are crashes occasionally, withthe loss of many lives. In the weeks following a crash,airlines often report a drop in the number of passengers,probably because people are afraid to risk flying.a) A travel agent suggests that since the law of averagesmakes it highly unlikely to have two plane crasheswithin a few weeks of each other, flying soon after acrash is the safest time. What do you think?b) If the airline industry proudly announces that it hasset a new record for the longest period of safe flights,would you be reluctant to fly? Are the airlines due tohave a crash?
- Find , min/may values, inter vals intervals of increase/ decrease of concauity . fm=x3-3,²42show me stepsSuppose the probability that a person likes APPLES and BANANAS is 0.4120 and the probability that a person likes BANANAS given they like APPLES is 0.5330. What is the probability that a person likes APPLES? I need helpremebering the steps to the solution which I know is 0.7730
- A raffle has a grand prize of $15000 with the second prize of $900. If each ticket costs $2 and 9200 tickets are sold, what are the expected winnings for a ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).Based on a poll, among adults who regret getting tattoos, 12% say that they were too young when they got their tattoos. Assume that nine adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (b) through (c) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.3165 (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. (Round to four decimal places as needed.)if we determine that a problem follows a geometic distribution, show that the probability of a success on the first trial is equal to P. Then, show the sequence of the first five terms as we increase X from 1 to 5
- A normal population has a mean of 80 and a standard deviation of 14.0. a) Calculate the probability of a value located between 75.0 and 90.0 p(75 ≤ x ≤ 90) b) Find the probability of a value of 75.0 or less. c) Calculate the probability of a value located between 55.0 and 70.0Solve 14The distance between consecutive flaws on a roll of sheet aluminum is exponentially distributed with mean distance 3 m. Let X be the distance, in meters, between flaws. a) What is the mean number of flaws per meter? b) What is the probability that a 5 m length of aluminum contains exactly two flaws?
