# Question: The random variable x has a normal distribution with

The random variable x has a normal distribution with μ = 300 and σ = 30.

a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from μ.

b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard deviations of μ.

c. Find the value of x that represents the 80th percentile of this distribution. The 10 th percentile.

a. Find the probability that x assumes a value more than two standard deviations from its mean. More than three standard deviations from μ.

b. Find the probability that x assumes a value within one standard deviation of its mean. Within two standard deviations of μ.

c. Find the value of x that represents the 80th percentile of this distribution. The 10 th percentile.

## Answer to relevant Questions

Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In Plant Science (May ...A group of Florida State University psychologists examined the effects of alcohol on the reactions of people to a threat (Journal of Abnormal Psychology, Vol. 107, 1998). After obtaining a specified blood alcohol level, the ...Examine the following sample data saved in the LM5_60 file. a. Construct a stem-and-leaf plot to assess whether the data are from an approximately normal distribution. b. Compute s for the sample data. c. Find the values ...Assume that x is a binomial random variable with n and p as specified in parts a–f that follows. For which cases would it be appropriate to use a normal distribution to approximate the binomial distribution? a. n = 100, p ...Use Table V in Appendix A to determine the value of e -a/u or each of the following cases: a. θ = 1, α = 1 b. θ = 1, α = 2.5 c. θ = .4, α = 3 d. θ = .2, α = .3Post your question