# Question

Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race

a. In less than 160 minutes?

b. In 215 to 245 minutes?

a. In less than 160 minutes?

b. In 215 to 245 minutes?

## Answer to relevant Questions

According to the U.S. Employment and Training Administration, the average weekly unemployment benefit paid out in 2008 was $297 (http://www.ows.doleta.gov/unemploy/hb394.asp). Suppose that the current distribution of weekly ...The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $845 and a standard deviation of $270. Assume that ...According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (approximately seven gallons) of salad and cooking oils in 2008 (www.ers.usda.gov/data/foodconsumption). Suppose that the current ...Determine the value of z so that the area under the standard normal curve a. In the right tail is .0250 b. In the left tail is .0500 c. In the left tail is .0010 d. In the right tail is .0100 For a binomial probability distribution, n = 20 and p = .60. a. Find the probability P(x 14) by using the table of binomial probabilities (Table I of Appendix C). b. Find the probability P(x = 14) by using the normal ...Post your question

0