A hospital has determined that the average emergence time to reach a patient is 12 with a population standard deviation of 7 minutes. A random sample of 50 services is selected. What is the probability that the sample is within 2 minutes? 0.9783 0.0216 0.9678 0.9566

The average breaking strength of a certain brand of steel cable is 2000 lbs with a standard deviation of 100 lbs. A sample of 20 cables is selected and tested. What is the probability that the average of the sample is greater than 2300?

The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 20 and standard deviation 7. What is the probability that the temperature on a random January day in Columbus is below 10 degrees?

Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.

At a large department store, the average number of years of service was 13.5 years with a standard deviation of 6.2 years.  If an employee is picked at random, what is the probability that the employee has worked for the company over 23 years?   0.0318   0.0416   0.0416   0.0627