Question

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 decimal). Use this result to determine σ =  (round to the second decimal place).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let X be normally distributed with the mean μ = 100 and some unknown standard deviation...
Let X be normally distributed with the mean μ = 100 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 ( 95 < X < 105 ) = 0.5. What is P ( − 5 σ < Z < 5 σ ) =  (enter decimal value). What is P ( Z < 5 σ ) =  (as a...
Let X be normally distributed with mean μ = 103 and standard deviation σ = 35....
Let X be normally distributed with mean μ = 103 and standard deviation σ = 35. [You may find it useful to reference the z table.] c. Find x such that P(X ≤ x) = 0.360. (Round "z" value and final answer to 3 decimal places.) d. Find x such that P(X > x) = 0.790. (Round "z" value and final answer to 3 decimal places.)
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 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 = 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...
Let X be normally distributed with mean μ = 103 and standard deviation σ = 35....
Let X be normally distributed with mean μ = 103 and standard deviation σ = 35. [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 = 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 = 4.1 and standard deviation σ = 2....
Let X be normally distributed with mean μ = 4.1 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) = 0.0594. (Round "z" value and...
Let X be normally distributed with mean μ = 3.3 and standard deviation σ = 1.8....
Let X be normally distributed with mean μ = 3.3 and standard deviation σ = 1.8. [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) = 0.0668. (Round "z" value and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT