Question

Assume X is normally distributed with a mean of 4.3 and a standard deviation of 6....

Assume X is normally distributed with a mean of 4.3 and a standard deviation of 6. Determine the value for x that solves each of the following. Round the answers to 2 decimal places.
a) P(X<x)=0.95

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given,

= 4.3 , = 6

We convert this to standard normal as

P( X < x) = P( Z < x - / )

We have to calculate x such that

P( X < x) = 0.95

That is

P( Z < x - / ) = 0.95

From Z table, z-score for the probability of 0.95 is 1.645

x - / = 1.645

x - 4.3 / 6 = 1.645

Solve for x

x = 14.17

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be normally distributed with mean μ = 4.3 and standard deviation σ = 2....
Let X be normally distributed with mean μ = 4.3 and standard deviation σ = 2. [You may find it useful to reference the z table.] a. Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X > x) = 0.0869. (Round "z" value and...
X is normally distributed with a mean of 0.60 and a standard deviation of 0.53. a....
X is normally distributed with a mean of 0.60 and a standard deviation of 0.53. a. Find the value of x that solves P(X ≤ x)= 0.55 b. Find the value of x that solves P(X > x)= 0.75 c. Find the value of x that solves P(x <X ≤ 0.76) = 0.35 d. Find the value of x that solves P(0.49 < X ≤x) = 0.30
Let X be normally distributed with mean μ = 10 and standard deviation σ = 6....
Let X be normally distributed with mean μ = 10 and standard deviation σ = 6. [You may find it useful to reference the z table.] a. Find P(X ≤ 0). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(4 ≤ X ≤ 10). (Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 12 and standard deviation σ = 6....
Let X be normally distributed with mean μ = 12 and standard deviation σ = 6. [You may find it useful to reference the z table.] a. Find P(X ≤ 0). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 3). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(6 ≤ X ≤ 12). (Round "z" value to 2 decimal places and final...
Let X be normally distributed with the mean μ = 50 and some unknown standard deviation...
Let X be normally distributed with the mean μ = 50 and some unknown standard deviation σ. The variable Z = X − A σ is distributed according to the standard normal distribution. Enter the value for A =  . It is known that P ( 44 < X < 56 ) = 0.4. What is P ( − 6 σ < Z < 6 σ ) =  (enter decimal value). What is P ( Z < 6 σ ) =  (as a...
A variable x is normally distributed with mean 17 and standard deviation 6. Round your answers...
A variable x is normally distributed with mean 17 and standard deviation 6. Round your answers to the nearest hundredth as needed. a) Determine the z -score for x = 19 . z = b) Determine the z -score for x = 13 . z = c) What value of x has a z -score of 2 ? x = d) What value of x has a z -score of − 0.3 ? x =
Let X be normally distributed with mean μ = 17 and standard deviation σ = 8....
Let X be normally distributed with mean μ = 17 and standard deviation σ = 8. [You may find it useful to reference the z table.] a. Find P(X ≤ 1). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(7 ≤ X ≤ 15). (Round "z" value to 2 decimal places and final...
Let X be normally distributed with mean μ = 2.5 and standard deviation σ = 2....
Let X be normally distributed with mean μ = 2.5 and standard deviation σ = 2. Use Excel to answer the following questions. Find k such that P(k ≤ X ≤ 2.5) = 0.4943.  Round your answer to 2 decimal places.
Let X be normally distributed with mean μ = 102 and standard deviation σ = 34....
Let X be normally distributed with mean μ = 102 and standard deviation σ = 34. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.360. (Round "z" value and...
Let X be normally distributed with mean μ = 126 and standard deviation σ = 22....
Let X be normally distributed with mean μ = 126 and standard deviation σ = 22. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.410. (Round "z" value and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT