Question

The diameter of hail hitting the ground during a storm is normally distributed with a mean...

  1. The diameter of hail hitting the ground during a storm is normally distributed with a mean

    of 0.5 inch and a standard deviation of 0.1 inch.

    1. (a) What is the probability that a hailstone picked up at random will have a diameter greater than .71 inch?

    2. (b) What is the probability that two hailstones picked up in a row will have diameters greater than .6 inch? (Assume independence of the two diameters.)

    3. (c) By the end of the storm, what proportion of the hailstones would have had diameters greater than .71 inch?

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

Homework Answers

Answer #1

(a)

(b)

Ans : 0.1587*0.1587 = 0.02518569

(c) P(X>0.71) = 0.0179 (by part a)

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
The diameters of ball bearings are distributed normally. The mean diameter is 125 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 125 millimeters and the standard deviation is 3 millimeters. Find the probability that the diameter of a selected bearing is greater than 127 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters. Find the probability that the diameter of a selected bearing is greater than 111 millimeters. Round your answer to four decimal places
The diameters of ball bearings are distributed normally. The mean diameter is 120120 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 120120 millimeters and the standard deviation is 44 millimeters. Find the probability that the diameter of a selected bearing is greater than 125125 millimeters. Round your answer to four decimal places.
The diameters of ball bearings are distributed normally. The mean diameter is 120 millimeters and the...
The diameters of ball bearings are distributed normally. The mean diameter is 120 millimeters and the standard deviation is 4 millimeters. Find the probability that the diameter of a selected bearing is greater than 125 millimeters. Round your answer to four decimal places.
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.73 inches and a standard deviation of 0.03 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below What is the probability that the sample mean is between 2.72 and 2.74 inches? The probability is 71​% that the sample mean will be between what two values symmetrically distributed around the population​ mean?
A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 millimeters and...
A process manufactures ball bearings with diameters that are normally distributed with mean 25.1 millimeters and standard deviation 0.08 millimeter. (a) What proportion of the diameters are less than 25.0 millimeters? (b) What proportions of the diameters are greater than 25.4? (c) To meet a certain specification, a ball bearing must have a diameter between 25.0 and 25.3 millimeters. What proportions of the ball bearings meet specification? (d) Find the 95th percentile of the diameters.
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.3...
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 24.3 millimeters and standard deviation 0.08 millimeters. (a) What proportion of the diameters are less than 24.2 millimeters? (b) What proportion of the diameters are greater than 24.5 millimeters? (c) To meet a certain specification, a ball bearing must have a diameter between 24 and 24.5 millimeters. What proportion of the ball bearings meet the specification? Round the answers to at least four decimal places.
The diameter of a pipe is normally distributed, with a mean of 0.6 inch and a...
The diameter of a pipe is normally distributed, with a mean of 0.6 inch and a variance of 0.0016. What is the probability that the diameter of a randomly selected pipe will exceed 0.632 inch? (You may need to use the standard normal distribution table. Round your answer to four decimal places.)
The diameters of ball bearings are known to be normally distributed with mean 6.15 cm standard...
The diameters of ball bearings are known to be normally distributed with mean 6.15 cm standard deviation 0.72 cm. Find the probability that a randomly selected ball bearing has a diameter less than 6.25 cm. Find the probability that a randomly selected ball bearing has a diameter greater than 6.50 cm. Find the diameters a and b such that the middle 80% of ball bearing diameters are between a and b.
Suppose that the diameters of oak trees are normally distributed with a mean of 4 feet...
Suppose that the diameters of oak trees are normally distributed with a mean of 4 feet and a standard deviation of 0.375 feet. What is the probability of a sampling a set of 87 oaks trees and finding their mean to differ from the population mean by less than 0.1 feet in diameter?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT