Question

What is the probability that a normal random variable will take a value that is less...

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)?

  • .8531
  • .1468
  • .9332
  • .0668

What is the probability that a normal random variable will take a value that is between 1.5 standard deviations below the mean and 2.5 standard deviations above the mean? In other words, what is P(-1.5 < Z < 2.5)?

  • .9938
  • .0668
  • .9270
  • .0730

What is the probability that a normal random variable will take a value that is more than 2.55 standard deviations above its mean? In other words, what is P(Z > 2.55)?

  • .9945
  • .9946
  • .0055
  • .0054

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

Homework Answers

Answer #1

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
1. A continuous random variable is normally distributed. The probability that a value in the distribution...
1. A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 47 is 0.4004. Find the probability that a value in the distribution is less than 47. 2. A continuous random variable is normally distributed. The probability that a value in the distribution is less than 125 is 0.5569. Find the probability that a value in the distribution is greater than 125. 3. A random variable is normally distributed with mean 89.7...
There is a 90% probability that a Normally distributed random variable be less than: 1) 0.90...
There is a 90% probability that a Normally distributed random variable be less than: 1) 0.90 standard deviations above its mean 2)1.28 standard deviations above its mean   3) 1.50 standard deviations above its mean 4)1.64 standard deviations above its mean 5)2.33 standard deviations above its mean
Given the standard normal random variable Z, answer the following questions. a. What is the probability...
Given the standard normal random variable Z, answer the following questions. a. What is the probability that Z is between 1.35 and 1.85? b. If P(-z<Z<z)=88%, what is z? c. What is the probability that Z is less than -0.55 or greater than 1.20?
What is the probability of a normal variable being lower than 5.2 standard deviations below its...
What is the probability of a normal variable being lower than 5.2 standard deviations below its mean? Do you need to know the mean and standard deviation? 2. What is the probability of a normal variable being within 1.2 standard deviations of its mean? Do you need to know the mean and standard deviation?
a. If X is a normal random variable with mean 10, and if the probability that...
a. If X is a normal random variable with mean 10, and if the probability that X is less than 11.54 is .72 then what is the standard deviation of X? 1.75 3.50 4.20 12.25 b. If the standard deviation of a population is 36 and we take a sample of size 9, then the standard error (the standard deviation of the sample mean) is 12.00 3.00 108.00 4.00 c. According to the empirical rule, in a normal distribution about...
let z be a random variable with a standard normal distrubtion. find the indicated probability (round...
let z be a random variable with a standard normal distrubtion. find the indicated probability (round your answer to four decimal places). a) P(z ≥ -1.53)= b) P(z ≤ -2.04)= c) P(-2.00 ≤ z ≤ 1.05)= d) P(0 ≤ z ≤ 0.50)=
1. If random variable X follows a Normal probability distribution, a negative Z score means (a)...
1. If random variable X follows a Normal probability distribution, a negative Z score means (a) The value of X is negative (b) The value of X is less than the mean (c) The value of X is greater than the mean (d) the correlation between X and Z is negative (e) none of the above. 2. Which of the following statements is not true about the Normal Curve (a) The total area under the Normal Curve is 1. (b)...
If you select a random z-score from the normal distribution, what is the probability that you...
If you select a random z-score from the normal distribution, what is the probability that you will get a value greater than 2.5? Put differently, P(z>1.5) = ? (Answer to 3 digits after the decimal.) ?
2.)Assume random variable Z follows standard normal distribution; find the value of the following probabilities. P(-1<Z<1)...
2.)Assume random variable Z follows standard normal distribution; find the value of the following probabilities. P(-1<Z<1) 3.)Assume random variable Z follows standard normal distribution; find the value of the following probabilities. P(0<Z<1) 4.)Assume random variable Z follows standard normal distribution; find the value of the following probabilities. P(Z>2) 5.)The natural log of growth of yucca tree is approximately normally distributed with mean of 0.053 mm and standard deviation 0.03mm. Determine the probability that a yucca tree has growth less than...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT