# Question: Let y be a random variable having a normal distribution

Let y be a random variable having a normal distribution with a mean equal to 250 and a standard deviation equal to 50. Find the following probabilities:

a. P(y > 250)

b. P(y > 150)

c. P(150 < y < 350)

d. Find k such that P(250 –k <, y <, 250 + k) = .60 Basic

a. P(y > 250)

b. P(y > 150)

c. P(150 < y < 350)

d. Find k such that P(250 –k <, y <, 250 + k) = .60 Basic

**View Solution:**## Answer to relevant Questions

Suppose that y is a random variable having a normal distribution with a mean equal to 250 and a standard deviation equal to 10. a. Show that the event y < 260 has the same probability as z < 1. b. Convert the event y < 230 ...Monthly sales figures for a particular food industry tend to be normally distributed with a mean of 155 (thousand dollars) and a standard deviation of 45 (thousand dollars). Compute the following probabilities: a. P(y < ...Federal resources have been tentatively approved for the construction of an outpatient clinic. In order to design a facility that will handle patient load requirements and stay within a limited budget, the designers studied ...Let y be a binomial random variable with n = 10 and p = .5. a. Calculate P(4 ≤ y ≤ 6). b. Use a normal approximation without the continuity correction to calculate the same probability. Compare your results. How well ...The susceptibility of the root stocks of a variety of orange tree to a specific larva is investigated by a group of researchers. Forty orange trees are exposed to the larva and then examined by the researchers 6 months after ...Post your question