Question

(Please describe each solution step in detail.) Given a random variable having the normal distribution with...

(Please describe each solution step in detail.)

Given a random variable having the normal distribution with µ=16.2 and σ 2 = 1.5625, find the probabilities that it will take on a value:

a) greater than 16.8;

b) less than 14.9;

c) between 13.6 and 18.8;

d) between 16.5 and 16.7

Homework Answers

Answer #1

To calculate the required probability we will use standard normal variate.

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
Given a random variable having the normal distribution with mean ? = 7 and ?2 =...
Given a random variable having the normal distribution with mean ? = 7 and ?2 = 49, find the probabilities that it will take on a value: a) greater than 6 b) less than 2 c) between 6 and 18.8
A random variable having a normal distribution with ? = 20 ??? ?? = 9 find...
A random variable having a normal distribution with ? = 20 ??? ?? = 9 find the probabilities that it will: a. Take on a value less than 17 b. Between 13 and 26
Find the probabilities that a random variable having the standard normal distribution will take on a...
Find the probabilities that a random variable having the standard normal distribution will take on a value (a) between 0.87 and 1.20; (b) between -0.34 and 0.60; (c) greater than 0.85; (d) greater than -0.60.
Let the random variable X follow a normal distribution with µ = 19 and σ2 =...
Let the random variable X follow a normal distribution with µ = 19 and σ2 = 8. Find the probability that X is greater than 11 and less than 15.
Let the random variable X follow a normal distribution with µ = 18 and σ2 =...
Let the random variable X follow a normal distribution with µ = 18 and σ2 = 11. Find the probability that X is greater than 10 and less than 17.
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the following probabilities. (Round all answers to four decimal places.) P(z < −1.5 or z > 2.50) = Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.) P(z > z* or z < −z*) = 0.2009 z* =
Let the random variable X follow a normal distribution with μ = 60 and σ^2=64. a....
Let the random variable X follow a normal distribution with μ = 60 and σ^2=64. a. Find the probability that X is greater than 70. b. Find the probability that X is greater than 45 and less than 74. c. Find the probability that X is less than 65. d. The probability is 0.2 that X is greater than what​ number? e. The probability is 0.05 that X is in the symmetric interval about the mean between which two​ numbers?
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.1) = (b) P(z < -0.1) = (c) P(0.40 < z < 0.84) = (d) P(-0.84 < z < -0.40) = (e) P(-0.40 < z < 0.84) = (f) P(z > -1.25) = (g) P(z < -1.51 or z > 2.50) =
Let z denote a random variable having a normal distribution with μ = 0 and σ...
Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.1) =   (b) P(z < -0.1) =   (c) P(0.40 < z < 0.85) =   (d) P(-0.85 < z < -0.40) =   (e) P(-0.40 < z < 0.85) =   (f) P(z > -1.26) =   (g) P(z < -1.49 or z > 2.50) =
If the probability density of a random variable is given by f(x) = Find the value...
If the probability density of a random variable is given by f(x) = Find the value of k and the probabilities that a random variable having this probability density will take on a value (a) between 0.1 and 0.2                      (b) greater than 0.5.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT