Suppose that the mean hourly wage of all employees in a large semiconductor manufacturing facility is $50 with a standard deviation of $10. Let X be the mean hourly wages of certain employees selected randomly from all the employees of this manufacturing facility. If a random sample of 256 employees is selected, then the probability that the mean hourly wages X falls between $48 and $52 is: O 0.8904 0.9544

A particular fruit's weights are normally distributed, with a mean of 501 grams and a standard deviation of 29 grams. If you pick one fruit at random, what is the probability that it will weigh between 550 grams and 602 grams?

Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !

Suppose that an airport reports that the average time it takes for a person to get through security in 25 minutes. Assume the variable is approximately normally distributed with a standard deviation of 4.5 minutes. If 102 people were selected at random, how many would be expected to make it through security in less than 20 minutes? Approximately _________would make it through in less than 20 minutes.

A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.

Suppose that an airline uses a seat width of 16.3 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 11 in. Find the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.3 in.

A particular fruit's weights are normally distributed, with a mean of 336 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 269 grams and 303 grams?

A particular fruit's weights are normally distributed, with a mean of 574 grams and a standard deviation of 34 grams.If you pick one fruit at random, what is the probability that it will weigh between 651 grams and 672 grams