Question: 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?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Assume the random variable x is normally distributed with mean u = 50 and standard deviation 6 = 7. Find the indicated probability. P(x > 38) P(x > 38) = D (Round to four decimal places as needed.)...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...

Evaluate the limit using continuity. lim tan(x - y) (x,y) (2,3)

You qualified for a student loan in the amount of $10,000. Once you graduate, you are required to repay this loan over 10 years at a rate of interest of 4 percent. The monthly interest and principal...

What is a manning table?

Describe the reasons why clinical psychologists perform research.

Distinguish between beta (or market) risk, within-firm (or corporate) risk, and stand-alone risk for a potential project. Of the three measures, which is theoretically the most relevant, and why?

Chapter 15 Problem 47 (Cost Management A Strategic Emphasis (7th Edition)) ABC Data; Resource -Capacity Planning; Nonfinancial Performance Indicators Zenon Computer (a fictitious company) competes at...

Adult, single, works 32 hours per week at $11 an hour. How much is taken out for federal income tax with one withholding exemption? Income tax withholding: 209-721 is $16.80 + 15% for amount over...

describe how the words we use to discuss personality disorders,( eg., narcissistic, borderline, antisocial,) shape our perception of what is considered normal or abnormal. Provide an example within...

Jason has a cat phobia, and therefore feelsanxious whenever he hears the word cat.He also feels anxious when he hears the word feline,which is an example of ____ generalization. a. secondary b....

Please answer each MCQ and give a small explanation (1-2 senetnces): This theory argues that progress and change in science are attributable to the ideas of unique individuals? A) Naturalistic...

A little girl playing with a doll accidentally drops it while playing. She picks up her doll and gives her a hug and says she is sorry to the doll. When the girl's mother asks why she did that, the...

MAKE A DECISION: What do you think is the best course of action for Kate? Kate is not ready for discharge nor is she ready to be responsible for her son. She should spend at least 30 more days...

Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (%) T-Bill Return (%) 2011 ?34.33 4.30 2012 31.70 0.70 2013 14.56 0.27 2014 3.58 0.04 2015...

What is the shape of the exponential distribution?

Discuss how employee benefits in Canada compare with other countries.

Explain different types of pension plans and current pension trends.

Discuss how to manage benefits effectively to control cost, influence productivity, and attract and retain good employees.