If a random variable has a standard normal distribution, sketch and find each of the following probabilities: a.P(-1.2 2.35) c.P(Z

If a random variable has a standard normal distribution, sketch and find each of the following probabilities:

a.P(-1.2

b.P(z>2.35)

c.P(Z<-3.0)

d.P(0

2.Suppose that the random variable has a standard normal distribution. Sketch each of the following points, and use the normal table to find each point.

a.Z0.33

b.Z0.008

c.-Z0.01

d.-Z0.05

3.Suppose we randomly select a sample of 35 single-family home prices from a population of single-family homes having a mean price equal to $250,000 and a standard deviation equal to $60,000.

a.Dcribe the shape of the sampling distribution of the sample mean . Do we need to make any assumptions about the shape of the population? Why or why not?

b.Find the mean and the standard diviation of the sampling distribution of the sample mean .

c.Calculate the probability that we will obtain a sample mean greater than $280,000; that is, calculate . Sketch the sampling distribution and the probability

d.The top 5% of the sample means are greater than what value?