A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 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 13 successes.

The weights of steers in a herd are distributed normally. The variance is 90,000 and the mean steer weight is 1200 lbs. Find the probability that the weight of a randomly selected steer is between 1379 and 1590 lbs. Round your answer to four decimal places.

Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.

The table below shows the probability distribution of job satisfaction scores (1 - 4) for a group of senior executives. A score of 1 indicates a strong dissatisfaction with their jobs; a score of 4 indicates a strong satisfaction with their jobs.Note that you must complete both parts a. and b. to receive any marks for the remaining parts of this question.a. Complete the missing value in the following table. Round to at least FIVE decimals if necessary. Job Satisfaction Score Probability of Score 1 0.2 2   3 0.27 4 0.26 b. What is the expected job satisfaction score for this group of senior executives?Answer:  Do NOT round your answer!c. What is the standard deviation of the job satisfaction score for this group of senior executives?Answer:  Round to at least FIVE decimals if necessaryd. Suppose a senior executive expects to earn an additional 4350 dollars per year for each job satisfaction score point. The executive also will receive a fixed 250 dollar yearly raise and…