Question

# A random variable follows the normal probability distribution with a mean of 100 and a standard...

A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table.

a. What is the probability that the value is less than 80​? The probability that the value is less than 80 is ______. ​(Round to four decimal places as​ needed.)

b. What is the probability that the value is less than 75​? The probability that the value is less than 75 is _____. ​(Round to four decimal places as​ needed.)

c. What is the probability that the value is more than 105​? The probability that the value is more than 105 is ______. ​(Round to four decimal places as​ needed.)

d. What is the probability that the value is more than 95​? The probability that the value is more than 95 is _____. ​(Round to four decimal places as​ needed.) #### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### A random variable follows the normal probability distribution with a mean of 100 and a standard... A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a. What is the probability that the value is less than 80? The probability that the value is less than...

• ### A random variable follows the normal probability distribution with a mean of 100 and a standard... A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view.pa a. What is the probability that the value is less than 80? The probability that the value is less than 80 is (Round to four decimal places as needed.) b. What is the probability that the value is less than...

• ### Given a standardized normal distribution (with a mean of O and a standard deviation of 1),... Given a standardized normal distribution (with a mean of O and a standard deviation of 1), complete parts (a) through (d). 5 Click here to view page 1 of the cumulative standardized normal distribution table. E: Click here to view page 2 of the cumulative standardized normal distribution table. The probability that Z is less than 1.51 is 0.9344. (Round to four decimal places as needed.) b. What is the probability that Z is greater than 1.89? The probability that...

• ### Given a normal distribution with= 100 and o 10, complete parts (a) through (d). Click here... Given a normal distribution with= 100 and o 10, complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that X > 75? The probability that X > 75 is .9938 . (Round to four decimal places as needed.) b. What is the probability that X < 95? The probability that X < 95...

• ### Given a standardized normal distribution (with a mean of O and a standard deviation of 1),... Given a standardized normal distribution (with a mean of O and a standard deviation of 1), complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is less than 1.05? The probability that Z is less than 1.05 is 8289 (Round to four decimal places as needed.) b. What is the probability...

• ### Given a normal distribution with μ-100 and σ-6, and given you select a sample of n-9,... Given a normal distribution with μ-100 and σ-6, and given you select a sample of n-9, complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table a. What is the probability that X is less than 95? P(X 95) Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is...

• ### For the standard normal distribution shown on the right find the probability of z occurring in... For the standard normal distribution shown on the right find the probability of z occurring in the indicated region. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. A -0.58 The probability is a (Round to four decimal places as needed.)

• ### Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1)... Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1) complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table, Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is between 1.57 and 1.83? - The probability that Z is between 1.57 and 1.83 is (Round to four decimal places as needed.) particular train...

• ### A study found that the mean amount of time cars spent in drive-throughs of a certain... A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 138.6 seconds. Assuming drive-through times are normally distributed with a standard deviation of 30 seconds, complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less...

• ### For the standard normal distribution shown on the right find the probability of z occurring in... For the standard normal distribution shown on the right find the probability of z occurring in the indicated region. Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table. The probability is (Round to four decimal places as needed.) Enter your answer in the answer box -0.17 OK