Question: Explain why P(X 30) should be reported as <0.0001 if X is a normal random variable with mean 100 and standard deviation 15.

Explain why P(X ˃ 30) should be reported as <0.0001 if X is a normal random variable with mean 100 and standard deviation 15.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Reporting the probability as 00001accura... View full answer

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 Statistics Questions!

Q:

Part A (7 marks) You are working as an accountant in a local accounting firm. You have been approached by Luke and Leia, the owners of Skylark, a retailer of home entertainment. They have chosen Xero...

Q:

A family has two children. If the genders of these children are listed in the order they are born, there are four possible outcomes: BB, BG, GB, and GG. Assume these outcomes are equally likely. Let...

Q:

3 Suppose Z is a standard normal variable; that is, Z~N (0, 1). Find the following probabilities: 3.1. ; P Z 1.4 3.2. 3.3. 3.4. P 2.5 Z 2.2 ; P 1.5 Z 1.1 P Z 4.1 ; and . QUESTION 4 Suppose X is a...

Q:

This is not a question , these are the answer of my question, But these are in hand written answer, I need these answer in text You just need to copy these answer and convert them into text You just...

Q:

Problem 3 (10 points ). Let X Xz, .... Xn ild N (100, 102), 1=10, 0=10,5210. ( a) Find P(X, >120 ), note XI~N( 100, 10-), X, is not an order statistic (b). Consider n = 30, X130) = max ? X Xz, 2...

Q:

5-37) In determining automobile mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 31 mpg and a standard deviation of 1.8 mpg. Find the...

Q:

Suppose a normal distribution has a meall z-score of x = 5.5? Find the probability that x z-score of x = 5.5? Find the probability that x

Q:

QUIZ 10 NAME MATH 2228/2283 A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual problems or delays) for a pizza to be u = 28 minutes with a standard...

Q:

Assume that x has a normal distribution with the specified mean and standard deviation Find the indicated probability Round your answer to four decimal places USE SALT 28 0 3 8 P x 30 x You may have...

Q:

e Jophia U Teri 28 pts 4 each Arrival times in minutes of donor organs in the population of US operating rooms can be modeled as a normal random variable X The mean arrival time is 40 min The...

Q:

Accounting principles require that companies include disclosure of "comprehensive income" in the financial statements. The most common form of disclosure is to add a separate financial statement...

Q:

A 44 g particle undergoes SHM with an amplitude of 8.3 mm, a maximum acceleration of magnitude 6.3 x 10 3 m/s 2 , and an unknown phase constant . What are (a) the period of the motion, (b) the...

Q:

For two projects of equal risk and equal size, a profitability index of 1 . 4 is better than a profitability index of 1 . 6 ( all other variables the same )

Q:

You have a piece of wire whose length is L = 107.1 inches and you would like to shape it into a rectangular frame. Use the GA to determine the width and height that will yield the maximum area of the...

Q:

The time t that it takes to get to school varies inversely with your average speed s. (a) Suppose that it takes you 40 minutes to get to school when your average speed is 30 miles per hour. Express...

Q:

In Problems 3338, a point on a line and its slope are given. Find the point-slope form of the equation of the line. P = (1, 2); m = 3

Q:

In Problems 3140, plot each point. Then plot the point that is symmetric to it with respect to (a) the x-axis; (b) the y-axis; (c) the origin. (-2,1)

Q:

43 A company's interest expense is $25,000. Its income before interest expense and income taxes is $206.250. Its net income is $96,950. The company's times interest earned ratio equals: 1.33 points...

Q:

Lesson 3 Homework Complete and submit your work in an Excel file to the dropbox by the Lesson 3 Deadline. Below is the assignment The candy making department at MxChocoCrush Company provides you with...

Q:

E9-9 (Algo) Calculating Direct Labor Variances [LO 9-4] Parker Plastic, Inc., manufactures plastic mats to use with rolling office chairs. Its standard cost information for last year follows: Direct...