If X has a normal distribution with = 90 and = 4, find b such

Question:

If X has a normal distribution with μ = 90 and σ = 4, find b such that
(a) P(X < b) = .6700
(b) P(X > b) = .0110
(c) P(IX - 90 | < b) = .966
(d) Check all of your answers using software.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics Principles And Methods

ISBN: 9781119497110

8th Edition

Authors: Richard A. Johnson, Gouri K. Bhattacharyya

See More Books

Question Posted: Nov 01, 2022 09:52 AM

See More Questions

If X has a normal distribution with p = 100 and a = 5, find b such that (a) P[X < b] = .6700 (b) P[X > b] = .0110 (c) P[|X - 100| < b] = .966
If X = lnY has a normal distribution with the mean and the standard deviation s, find the probability density of Y which is said to have the log normal distribution.
A random variable has a normal distribution with = 10. If the probability that the random variable will take on a value less than 82.5 is 0.8212, what is the probability that it will take on a value...
Julio sold his corporation to a competitor, Exeter LLC, for $100,000,000. Julio incorporated his business 17 years ago by investing $500,000 plus his proprietary know-how. There have been no other...
A federal regulatory agency is investigating an advertised claim that a certain device can increase the gasoline mileage of cars (mpg). Ten such devices are purchased and installed in cars belonging...
An air flow of 2 kg/s at 30C, relative humidity 80%, is conditioned by taking half of the air flow, cooling it, and mixing it with the other half. Assume the outlet flow should have a water content...
In order to conduct the Wilcoxon signed rank test, why do we need to assume the probability distribution of differences is continuous?
Each autumn, as a hobby, Pauline Spahr weaves cotton placemats to sell at a local craft shop. The mats sell for $ 20 per set of four mats. The shop charges a 10% commission and remits the net...
Trey is single and has no qualifying child. His adjusted gross income is $ 12,355
Room sensible temperature load: 85.15 kW Room Latent heat load: 14.54 kW A retail shop located in a city at 30N latitude has the following loads. The summer outside and inside design conditions are:...
The population density function and that for the sampling distribution of X, for n = 2, are shown in Figure 6. Identify which one is the sampling distribution and explain your answer. 24 1 I 0 Figure...
The bell-shaped histogram for the heights of three-year-old red pine seedlings on shown below is consistent with the assumption of a normal distribution having mean = 280 and sd = 58 millimeters. Let...
If the distance between the first and tenth minima of a double-slit pattern is 18.0 mm and the slits are separated by 0.150 mm with the screen 50.0 cm from the slits, what is the wavelength of the...
1 Evaluate the given limits using the 10. f(x) = (x-3)(x-5) (a) lim f(x) X-3 (b) lim f(x) x-3+ (c) lim f(x) X-3 graph of the function (d) lim f(x) x+5= (e) lim f(x) x+5+ (f) lim f(x) X-5 50 y -50 2 6...
In Year 1 , Stallman Co . had a break - even point of 8 0 , 0 0 0 units, a selling price of $ 1 9 per unit, and fixed costs of $ 2 0 0 , 0 0 0 . What is Stallman Co . s variable cost per unit? (...
What will be the output of following statements: int a = 3; if(a!= 3){ cout
28. What will this program print, assuming dynamic scoping? (10 points) Consider the following code snippet for problems #29-31. For this problem, assume dynamic scoping. program main() 1. 2. { 3. 4....
The reaction X + Y products was studied using the method of initial rates. The initial rate of consumption of X was measured in three different experiments. Data are provided below. Expt [X] 0 (in...
Fill in the blanks with an appropriate word, phrase, or symbol(s). In a traveling salesman problem, the Hamilton circuit with the lowest associated cost or shortest distance is called the ___________...
Currently, there are five concepts of food stands, including: hot dogs, soft pretzels, turkey legs, sandwich wraps, and funnel cakes. This approach will double the existing number of food stands...
The time for an emergency medical squad to arrive at the sports center at the edge of town is distributed as a normal variable with p. = 17 minutes and a = 3 minutes. (a) Determine the probability...
It is reasonable to model the distribution that produced the lizards' speed test in Exercise 2.19 as normal distribution with mean 1.7 m/s and standard deviation .57 m/s. Find the probability that...
Let the number of successes X have a binomial distribution with n = 25 and p = .6 (a) Find the exact probabilities of each of the following: X = 17 11 < X < 18 11 < X < 18 (b) Apply the normal...
business law A partner may actively compete with the partnership True False
A company provided the following data: Selling price per unit $80 Variable cost per unit $45 Total fixed costs $490,000 How many units must be sold to earn a profit of $122,500?
Suppose a 10-year, 10%, semiannual coupon bond with a par value of $1,000 is currently selling for $1,365.20, producing a nominal yield to maturity of 7.5%. However, it can be called after 4 years...

If X has a normal distribution with = 90 and = 4, find b such

Question:

Step by Step Answer:

X has a normal distribution with 90 and 4 F...View the full answer

Statistics Principles And Methods

Students also viewed these Business questions