Question

A normal population has a mean of 61 and a standard deviation of 20. A. What...

A normal population has a mean of 61 and a standard deviation of 20. A. What proportion of the population is greater than 108? B. What is the probability that a randomly chosen valve will be less than 81?

Homework Answers

Answer #1

Solution :

Given that,

mean = = 61

standard deviation = = 20

a ) P (x > 108 )

= 1 - P (x < 108 )

= 1 - P ( x -  / ) < ( 108 - 61 / 20)

= 1 - P ( z < 47 / 20 )

= 1 - P ( z < 2.35 )

Using z table

= 1 - 0.9906

= 0.0094

Proportion = 0.0094

b ) P( x < 81 )

P ( x - / ) < ( 81 - 61 / 20)

P ( z < 20 / 20 )

P ( z < 1.00 )

= 0.8413

Proportion= 0.8413

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
A normal population has mean =μ9 and standard deviation =σ5. (a) What proportion of the population...
A normal population has mean =μ9 and standard deviation =σ5. (a) What proportion of the population is less than 20? (b) What is the probability that a randomly chosen value will be greater than 5? Round the answers to four decimal places.
A normal population has mean μ = 9 and standard deviation σ = 6. a. What...
A normal population has mean μ = 9 and standard deviation σ = 6. a. What proportion of the population is less than 20? b. What is the probability that a randomly chosen value will be greater than 5?
normal population has mean =μ10 and standard deviation =σ7. (a) What proportion of the population is...
normal population has mean =μ10 and standard deviation =σ7. (a) What proportion of the population is less than 18? (b) What is the probability that a randomly chosen value will be greater than 3? Round the answers to four decimal places. Part 1 of 2 The proportion of the population less than 18 is . Part 2 of 2 The probability that a randomly chosen value will be greater than 3 is .
A normal population has a mean of 61 and a standard deviation of 4. You select...
A normal population has a mean of 61 and a standard deviation of 4. You select a sample of 38. Compute the probability that the sample mean is: (Round your z values to 2 decimal places and final answers to 4 decimal places.) Less than 60. Between 60 and 62. Between 62 and 63. Greater than 63.
A normal population has mean μ= 34 and standard deviation σ= 10. (a) What proportion of...
A normal population has mean μ= 34 and standard deviation σ= 10. (a) What proportion of the population is between 10 and 20? (b) What is the probability that a randomly chosen value will be between 28 and 38? Round the answers to at least four decimal places
A normal population has mean μ =40 and standard deviation σ =9. (a) What proportion of...
A normal population has mean μ =40 and standard deviation σ =9. (a) What proportion of the population is between 20 and 30? (b) What is the probability that a randomly chosen value will be between 35 and 45? Round the answers to at least four decimal places.
A normal population has mean μ=40 and standard deviation σ =9. (a) What proportion of the...
A normal population has mean μ=40 and standard deviation σ =9. (a) What proportion of the population is between 20 and 30 ? (b) What is the probability that a randomly chosen value will be between 35 and 45? Round the answers to at least four decimal places
A normal population has mean μ = 31 and standard deviation σ = 6. (a) What...
A normal population has mean μ = 31 and standard deviation σ = 6. (a) What proportion of the population is between 19 and 28? (b) What is the probability that a randomly chosen value will be between 26 and 36? Round the answers to at least four decimal places. Part 1 of 2 The proportion of the population between 19 and 28 is . Part 2 of 2 the probability that a randomly chosen value will be between 26...
A normal population has a mean u=33 and standard deviation o=9 What is the proportion population...
A normal population has a mean u=33 and standard deviation o=9 What is the proportion population between 13 and 23? What is the probability that a randomly chosen value will be between 27 and 37? Round at least 4 places
A normal population has a mean u=33 and standard deviation o=9 What is the proportion population...
A normal population has a mean u=33 and standard deviation o=9 What is the proportion population between 13 and 23? What is the probability that a randomly chosen value will be between 27 and 37? Round at least 4 places