Question

Find the indicated probability assuming that x is a random variable with a normal distribution with...

Find the indicated probability assuming that x is a random variable with a normal distribution with the given mean and standard deviation. (Round your answer to four decimal places.)

P(95 ≤ x ≤ 307), μ = 20, σ = 100

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 20

standard deviation = = 100

= P[(95 - 20 /100 ) (x - ) / (307 - 20 / 100) ]

= P(0.75 z 2.87)

= P(z 2.87) - P(z 0.75 )

= 0.9979 - 0.7734

= 0.2245

P(95 ≤ x ≤ 307) = 0.2245

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: Let z be a random variable with a standard normal distribution. Find the indicated probability....
A: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ 1.11) = B: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≥ −1.24) = C: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.78 ≤ z...
X has a normal distribution with the given mean and standard deviation. Find the indicated probability....
X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 39, σ = 20, find P(32 ≤ X ≤ 49)
1. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
1. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26)=? 2.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 5.9; σ = 1.1 P(7 ≤ x ≤ 9)=? 3. Assume that x has a normal...
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round...
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? ?0.25) Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? 1.24) Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter your answer to four decimal places.) P(?2.20 ? z ? 1.08)
X has a normal distribution with the given mean and a standard deviation. Find the indicated...
X has a normal distribution with the given mean and a standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 108, σ = 15, find P(111 ≤ X ≤ 129)
a. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
a. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 15.5; σ = 4.5 P(10 ≤ x ≤ 26) = b. Now, assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.2; σ = 2.9   P(8 ≤ x ≤ 12) = c. Now, assume...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 20; σ = 3.4 P(x ≥ 30) =
a.) Assume that x has a normal distribution with the specified mean and standard deviation. Find...
a.) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 4.4; σ = 2.2 P(3 ≤ x ≤ 6) = b.) Consider a normal distribution with mean 34 and standard deviation 2. What is the probability a value selected at random from this distribution is greater than 34? (Round your answer to two decimal places.) c.) Assume that x has a normal...
1.Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
1.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 6 P(5 ≤ x ≤ 14) = 2. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.4; σ = 4.2 P(10 ≤ x ≤ 26) = 3. Assume that x has...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 106; σ = 10 P(x ≥ 120) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 110; σ = 13 P(x ≥ 90) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT