Question

Given that x is a normal variable with mean μ = 108 and standard deviation σ...

Given that x is a normal variable with mean μ = 108 and standard deviation σ = 14, find the following probabilities.

(a)  P(x ≤ 120)


(b)  P(x ≥ 80)


(c)  P(108 ≤ x ≤ 117)

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

Homework Answers

Answer #1

Given that x is a normal variable with mean μ = 108 and standard deviation σ = 14

We want to find the following probabilities,

a) P(x ≤ 120)

=> P(x ≤ 120) = 0.8051

b) P(x ≥ 80)

=> P(x ≥ 80) = 0.9772



(c)  P(108 ≤ x ≤ 117)



=> P(108 ≤ x ≤ 117) = 0.2389

​

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
Given that x is a normal variable with mean μ = 111 and standard deviation σ...
Given that x is a normal variable with mean μ = 111 and standard deviation σ = 14, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 120) (b) P(x ≥ 80) (c) P(108 ≤ x ≤ 117)
Given that x is a normal variable with mean μ = 114 and standard deviation σ...
Given that x is a normal variable with mean μ = 114 and standard deviation σ = 12, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 120) (b)  P(x ≥ 80) (c)  P(108 ≤ x ≤ 117)
Given that x is a normal variable with mean ? = 114 and standard deviation ?...
Given that x is a normal variable with mean ? = 114 and standard deviation ? = 12, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ? 120) (b) P(x ? 80) (c) P(108 ? x ? 117)
Given that x is a normal variable with mean μ = 51 and standard deviation σ...
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.5, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 48 and standard deviation σ...
Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.2, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 43 and standard deviation σ...
Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.5, find the following probabilities. (Round your answers to four decimal places.) (a)  P(x ≤ 60) (b)  P(x ≥ 50) (c)  P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 43 and standard deviation σ...
Given that x is a normal variable with mean μ = 43 and standard deviation σ = 6.7, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 42 and standard deviation σ...
Given that x is a normal variable with mean μ = 42 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 48 and standard deviation σ...
Given that x is a normal variable with mean μ = 48 and standard deviation σ = 6.3, find the following probabilities. (Round your answers to four decimal places.) ( a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60) Please break down explanation a-c.
Given that x is a normal variable with mean μ = 52 and standard deviation σ...
Given that x is a normal variable with mean μ = 52 and standard deviation σ = 6.4, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) Incorrect: Your answer is incorrect. (b) P(x ≥ 50) Incorrect: Your answer is incorrect. (c) P(50 ≤ x ≤ 60) Incorrect: Your answer is incorrect.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT