1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

Question

Question

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6. N(11,6). Using the 68,95,99.7 rule, what is the approximate probability that a value drawn from this distribution will be:

a. Between 5 and 17?

b. Between -1 and 23?

c. Greater than 16?

d. Less than -1?

e. Less than 23?

2) Suppose you have a normal distribution with known mu = 8 and sigma = 2. N(8,2). Compute the Z---score for:

a. X = 9

b. X = 2

c. X = 5

d. X = 6

e. X = 3

f. X = 4

Please show all work thank you:)

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a...

Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population...
1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the...

1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the probability that x is less than x0 is p0 = 0.95 what is the value for x0. 2.Giving a normal distribution with mean mu=35 and standard deviation sigma =10 where the probability that x is greater than x0 is 0.10. 3. Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the...
Given a normal distribution with mu equals 103 and sigma equals 25, and given you select...

Given a normal distribution with mu equals 103 and sigma equals 25, and given you select a sample of n equals 25, complete parts (a) through (d). a. What is the probability that X is less than 93? P( X < 93)= b. What is the probability that X is between 93 and 95.5? P(93< X than 95.5)= c. What is the probability that X is above 104.8? P( X > than 104.8)= d. There is a 63% chance that...

Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer...

Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100. 1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks) 2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2? 3. What...
Assume that IQ's follow a Normal distribution with a mean mu=100 and standard deviation sigma=16. What...

Assume that IQ's follow a Normal distribution with a mean mu=100 and standard deviation sigma=16. What is the probability that no more than 5 people in a random sample of size n=9 have IQ's between 90 and 110?
Given a normal distribution with mu μ equals = 101 101 and sigma σ equals =...

Given a normal distribution with mu μ equals = 101 101 and sigma σ equals = 25 25, and given you select a sample of n equals = 25 25, complete parts (a) through (d). d. There is a 64 64% chance that Upper X overbar X is above what value?

A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3....

A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3. Find and interpret the z-score for LaTeX: x=11x = 11.
The population of IQ scores forms a normal distribution with mu equals space 100 and sigma...

The population of IQ scores forms a normal distribution with mu equals space 100 and sigma space equals space 15. If you take a random sample of 25 people who have taken the IQ test, what is the probability of obtaining a sample mean greater than M = 103? p = 0.8413 p = 0.5793 p = 0.4207 p = 0.1578
Question 11 Normal mu 2.09 sigma 0.21 xi P(X<=xi) 1.61 0.0111 1.76 0.0580 2.39 0.9234 2.53...

Question 11 Normal mu 2.09 sigma 0.21 xi P(X<=xi) 1.61 0.0111 1.76 0.0580 2.39 0.9234 2.53 0.9819 P(X<=xi) xi 0.10 1.8209 0.20 1.9133 0.30 1.9799 0.40 2.0368 Normal mu 2.09 sigma 0.24 xi P(X<=xi) 1.61 0.0228 1.76 0.0846 2.39 0.8944 2.53 0.9666 P(X<=xi) xi 0.10 1.7824 0.20 1.8880 0.30 1.9641 0.40 2.0292 The mean weight for a part made using a new production process is 2.09 pounds. Assume that a normal distribution applies and that the standard deviation is 0.24...

1. X ~ N(mu = 3,sigma=10) Y=2X+4 E(Y) = ? 2. X ~ N(mu = 3,sigma=10)...

1. X ~ N(mu = 3,sigma=10) Y=2X+4 E(Y) = ? 2. X ~ N(mu = 3,sigma=10) Y=2X+4 V(Y) = ? 3. If X and Y are independent then E(XY) =E(X)*E(Y) True or False? 4. If Cov(X,Y) = 0 then X and Y are independent True or False? 5. If Y_1 ~ N( 1, sigma =2) and Y_2 ~ N(-2, sigma^2 = 16) and Y_1 is independent of Y_2. If l = 2Y_1 - 3Y_2 find E(l) 6. If Y_1 ~...

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

Homework Answers

Add Answer to:
1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

Post as a guest

Earn Coins

Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a...

1. Giving a normal distribution with mean mu=35 and standard deviation sigma = 10 where the...

Given a normal distribution with mu equals 103 and sigma equals 25, and given you select...

Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer...

Assume that IQ's follow a Normal distribution with a mean mu=100 and standard deviation sigma=16. What...

Given a normal distribution with mu μ equals = 101 101 and sigma σ equals =...

A normal distribution has mean LaTeX: \mu=14μ = 14 and standard deviation LaTeX: \sigma=3σ = 3....

The population of IQ scores forms a normal distribution with mu equals space 100 and sigma...

Question 11 Normal mu 2.09 sigma 0.21 xi P(X<=xi) 1.61 0.0111 1.76 0.0580 2.39 0.9234 2.53...

1. X ~ N(mu = 3,sigma=10) Y=2X+4 E(Y) = ? 2. X ~ N(mu = 3,sigma=10)...

1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

Homework Answers

Add Answer to: 1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....

Post as a guest

Earn Coins

Add Answer to:
1) Suppose you have a normal distribution with known mu = 11 and sigma = 6....