A recent survey of 1011 employees found that 24% of them would lay off their bosses if they could. This is based on  arándome sample of 10 employees.  a) what is the probability that exactly three employees would lay off their boss?  b) what is the probability that three or fewer employees would lay off their bosses?  c) what is the probability that five or more employees would lay off their bosses?  d) what are the mean and standard deviation for this distribution?  The standard deviation of employees that would lay off their bosses is approximately ___. Please help! I have many of these and need help with all steps .

Jamaica Auto Service is a popular place for car service. It is also known that the mean time taken for Oervice at this station is 15 minutes per car and the standard deviation is 2.5 minutes. It is also known that the time taken for service on a car follows a normal distribution. a) What is the probability that a randomly selected customer will have to wait at most 14 minutes for service? (round to four decimal places) b) What percentage of customers will have to wait between 12 and 18 minutes for their service? (round to nearest percentage) c) Is it likely that it may take longer than 23 minutes for service? Find the likelihood of happening this and justify your answer.

An SRS of 1500 first-year college students were asked whether they applied for admission to any other college. In fact, 35% of all first-year students applied to colleges beside the one they are attending. Population Parameter Value of the parameter   a) State the conditions of why the sample proportion follows a normal distribution.   b) What is the mean and standard deviation of the sample proportion ?   c) What is the probability that the sample proportion of college students who applied to colleges besides the one they attended is more than 37.5%?   d) What is the probability that the poll will be within 2% of the true proportion?

In the field of accountancy, times spent studying by students in the week before professional exams follow a Normal distribution with a standard deviation of 8 hours. A random sample of 4 students was taken in order to estimate the mean study time for the population of all students. a)  What is the probability that the sample mean exceeds the population mean by more than 2 hours? b)  What is the probability that the sample mean differs from the population mean by more than 4 hours? c)  Suppose that a second (independent) random sample of 10 students was taken. Without doing any calculations, state whether the probabilities in parts (a) and (b) would be higher, lower or the same for the second sample.

Suppose that you have a large number of potatoes. The mean weight of the potatoes is 7.4 ounces with a standard deviation of 2.2 ounces. We may assume a normal distribution. b) If you choose 45 potatoes at random, what is the probability that the mean of this sample of 45 potatoes is less than 7 ounces?

A technical assistance service with electronic equipment has that its service time is normally distributed with a mean of 80 minutes with a standard deviation of 25 minutes: a) What is the probability that the service time exceeds 2 hours? b) What is the probability that the service time is between 45 and 150 minutes? c) What is the probability that the service time lasts at most 1 hour? Response d) How much service time will be in the bottom 5 percent of the distribution?