20 % of biscuits made by a baker are chocolate chip cookies. 11 biscuits are selected at random. a) Assuming a binomial distribution for X , the number of chocolate chip cookies, write down the values of nand p X∼bin(n,p) n=?        p=? b) Find the probability that our selection contains exactly 3 chocolate chip cookies. P(X=3)=  (to 3 decimal places).   Find the probability that our selection contains no more than 1 chocolate chip cookies. Probability = ?  (to 3 decimal places).

A random variable follows a binomial distribution with the probability of success for one trial at 0.83 and 17 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 12 successes. d) Find the probability of exactly 9 successes. e) Find the probability of exactly 7 successes

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u 1.3 parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. and a standard deviation of a 5.1 kg. Complete OC. Since the…

A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. A) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. B) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. C) Compute ?, the expected value of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4). D) Compute ?, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4).