A normally distributed set of data has a mean of 20 and a standard deviation of 3. Determine the probability that a randomly selected x–value is between 14 and 26.
A normally distributed set of data has a mean of 22 and a standard deviation of 3.
Determine the probability that a randomly selected x–value is at least 16.
A normally distributed set of data has a mean of 60 and a standard deviation of 10. What percent of data lies between 40 and 70?
A normally distributed set of data has a mean of 60 and a standard deviation of 10. What percent of data fall between 50 and 70?
A normally distributed set of data has a mean of 101 and a standard deviation of 9.1. What percent of data fall between 82.8 and 110.1?
A normally distributed set of data has a mean of 64 and a standard deviation of 7.
Determine the probability that two randomly selected x–values are both between 50 and 71.
Explain why the fraction of data having absolute value greater than a nonnegative constant m equals twice the difference between 1 and the fraction of data less than m.
Obtain the mean and standard deviation of a normal distribution that approximates a binomial distribution consisting of n trials with probability p of success on each trial.
n = 60, p = 0.1
The waiting time for customers in a pizza restaurant is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. Determine the probability that a customer will wait between 6 and 10 minutes.
The students in a school are allowed to enter their school between 9:45 am to 10:00 am. The timings of the 400 students entering the school are normally distributed with a mean at 9:55 am and a standard deviation of 1 minute. How many students enter the school before 9:55am? How many students come between 9:53 am and 9:56 am?
In a research project, it was found that the heights of coconut trees are normally distributed with a mean of 60 feet and a standard deviation of 5 feet. Determine the probability that five randomly selected coconut trees are all between the heights of 50 and 70 feet.
In a country, the percentage of population who live below the poverty line is 8%. Find the probability that in a random sample of 1375 people, at most 100 are below the poverty line.
