# Question: Given that z is a standard normal random variable compute

Given that z is a standard normal random variable, compute the following probabilities.

a. P(z ≤ –1.0)

b. P(z ≥ –1)

c. P(z ≥ –1.5)

d. P(–2.5 ≤ z)

e. P(– 3 < z ≤ 0)

a. P(z ≤ –1.0)

b. P(z ≥ –1)

c. P(z ≥ –1.5)

d. P(–2.5 ≤ z)

e. P(– 3 < z ≤ 0)

## Answer to relevant Questions

Given that z is a standard normal random variable, find z for each situation.a. The area to the left of z is .9750.b. The area between 0 and z is .4750.c. The area to the left of z is .7291.d. The area to the right of z is ...Television viewing reached a new high when the Nielsen Company reported a mean daily viewing time of 8.35 hours per household (USA today, November 11, 2009). Use a normal probability distribution with a standard deviation of ...A Bureau of National Affairs survey found that 79% of employers provide their workers with a two-day paid Thanksgiving holiday with workers off both Thursday and Friday (USA today, November 12, 2009). Nineteen percent of ...The port of South Louisiana, located 54 miles along the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a ...Using Figure as a guide, sketch a normal curve for a random variable x that has a mean of μ = 100 and a standard deviation of σ = 10. Label the horizontal axis with values of 70, 80, 90, 100, 110, 120, and 130.Post your question