Question

The useful life of a certain valve at a pumping station is normally distributed with a...

The useful life of a certain valve at a pumping station is normally distributed with a mean of 50

months and a standard deviation of five months. Determine the probability that the valve will

wear out after 40 months.

2. Using the information in Question 1, determine the probability that the part will wear out

before its mean life.

3. Using the information in Question 1, determine the probability that the part will wear out

between 45 and 55 months.

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

Homework Answers

Answer #1

Answer: Let X denote the life of a certain valve at a pumping station. Then,

This implies,

(1) The probability that the valve will wear out after 40 months, is given by

(2) The probability that the valve will wear before its mean life, is given by

(3) The probability that the valve will wear between 45 and 55, is given by

The term is the cdf of standard normal which can be obtained by standard normal table or calculator available online.

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
Demand per hour for gasoline at a local station is normally distributed with a mean of...
Demand per hour for gasoline at a local station is normally distributed with a mean of 875 gallons and std deviation of 55 gallons. What is the probability that demand for a particular hour will be less than 900 gallons?
The life of a certain AAA batteries is normally distributed with a variance of 100 hours...
The life of a certain AAA batteries is normally distributed with a variance of 100 hours and mean of 550 hours. Find the probability that a battery chosen at random will last no more than 568 hours
Five years ago a chemical plant invested $72,000 in a pumping station on a nearby river...
Five years ago a chemical plant invested $72,000 in a pumping station on a nearby river to provide the water required for their production process. Straight-line depreciation is employed for tax purposes, using a 30-year life and zero salvage value. During the past five years, annual operating costs have been as follows:                                     Maintenance                $1,400                                     Power and Labor $3,700                                     Taxes and insurance    $400 A nearby city has offered to purchase the pumping station for $60,000 as it is in the process...
The life of a certain type of automobile tire is normally distributed with mean 34,000 miles...
The life of a certain type of automobile tire is normally distributed with mean 34,000 miles and standard deviation 4000 miles. If a sample of 64 tires are independently selected, what is the probability that the sample’s average life is between 33,500 and 34,125 miles?
Demand per hour for gasoline at a local station is normally distributed with a mean of...
Demand per hour for gasoline at a local station is normally distributed with a mean of 875 gallons and std deviation of 55 gallons. What is the probability that demand for a particular hour is between 800 and 900 gallons? Enter your answer as a decimal, rounded to 4 decimal places.
A random variable is normally distributed with a mean of μ=50 and a standard deviation of...
A random variable is normally distributed with a mean of μ=50 and a standard deviation of σ = 5. a) Sketch a normal curve for the probability density function. Label the horizontal axis with values of 35, 40, 45, 50, 55, 60, and 65. b) What is the probability the random variable will assume a value between 45 and 55? c) What is the probability the random variable will assume a value between 40 and 60? d) Draw a graph...
A mechanic sells a brand of automobile tire that has a life expectancy that is normally​distributed,...
A mechanic sells a brand of automobile tire that has a life expectancy that is normally​distributed, with a mean life of 30,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that​don’t wear well. How should he word his guarantee if he is willing to replace approximately 10% of the​tires? Tires that wear out by _____________ miles will be replaced free of charge.
(A) The weight of cans of vegetables is normally distributed with a mean of 1000 grams...
(A) The weight of cans of vegetables is normally distributed with a mean of 1000 grams and a standard deviation of 50 grams. What is the probability that the sample mean of weight for 10 randomly selected cans is more than 1040? (B) The age of vehicles registered in a certain European country is normally distributed with a mean of 98 months and a standard deviation of 15 months. What is the probability that the sample mean of age for...
12. a) If scores on a certain medical test are normally distributed with mean 50 and...
12. a) If scores on a certain medical test are normally distributed with mean 50 and standard deviation 5, what score (or lower) would place a score in the bottom 10% of scores? b) If scores on a certain medical test are normally distributed with mean 50 and standard deviation 5, and if 30 of these medical test scores are selected at random and the average score is computed, what is the probability that this average score will be greater...
A battery manufacturer finds that the life of its batteries are normally distributed with a mean...
A battery manufacturer finds that the life of its batteries are normally distributed with a mean of 32 months and a standard deviation of 5 months. Find the probability that a battery lasts more than 36 months. Round off to four decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT