Question 1:

A local bakary has determined a probability distribution for the number of Cheesecakes that they sell in a given day. WWITWWT What is the probability of selling 15 Cheesecakes in a given day? What is the probability of selling at least 10 Cheesecakes? What is the probability of selling 5 or 15 chassescakes? What is the peobaility of selling 25 Cheesecakes? Give the expected number of cheesecakes sold in a day using the discrete probability distribution? What is the probability of selling at most 10 Cheesecakes? In the United States, 44% of the population has type Ablood. Suppose 7 people from the U.S. are randomly chosen. Use the formula for binomial probabilities Pas) = (Z) in p)\""' to find the probability that exactly 3 of the 7 people sampled have type A blood. (a) First fill in the details of the binomial probability formula: P(3)= E (D)D(B)D (b) The probability, accurate to 4 decimal places, is Assume that a procedure yields a binomial distribution with n = 128 trials and the probability of success for one trial isp = 67 % . Find the mean for this binomial distribution. (Round answer to one decimal place.) '1': Find the standard deviation for this distribution. (Round answer to two decimal places.) 0.- Use the range rule of thumb to find the minimum usual value u-Zo and the maximum usual value u+Zo. Enter answer as an interval using square-brackets only with whole numbers. You really struggle remembering to bring your lunch to work. Each day seems to be independent as to whether you remember to bring your lunch or not. The chance that you forget your lunch each day is 30.8%. Consider the next 38 days. Let X be the number of days that you forget your lunch out of the 38 days. Calculate the following: (a) \"x: [j 6.: C] (b) What would be the first number of days, larger than the mean, that would be considered unusual (an "outlier")? (Enter a whole number.) [I (c) Find the probability of forgetting your lunch at least as many times as your answer to part (b). C] Sketch the region corresponding to the statement P(z