Question

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.5 years. If you randomly purchase one item, what is the probability it will last longer than 15 years?

Homework Answers

Answer #1

µ = 8.4

sd = 2.5

                        

                         = P(Z > 2.64)

                         = 1 - P(Z < 2.64)

                         = 1 - 0.9959

                         = 0.0041

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
manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years,...
manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 2.3 years. If you randomly purchase 8 items, what is the probability that their mean life will be longer than 6 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.7 years, and standard deviation of 2.9 years. If you randomly purchase one item, what is the probability it will last longer than 4 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.6...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.6 years, and standard deviation of 0.7 years. If you randomly purchase one item, what is the probability it will last longer than 4 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14 years, and standard deviation of 2.6 years. If you randomly purchase one item, what is the probability it will last longer than 8 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2 years, and standard deviation of 0.5 years. If you randomly purchase one item, what is the probability it will last longer than 2 years? Answer = (Round to four decimal places.)
A. A manufacturer knows that their items have a normally distributed length, with a mean of...
A. A manufacturer knows that their items have a normally distributed length, with a mean of 11.7 inches, and standard deviation of 1.4 inches. If one item is chosen at random, what is the probability that it is less than 9 inches long? B. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.6 years, and standard deviation of 2.6 years. If you randomly purchase one item, what is the probability it will last...
Part 1 A manufacturer knows that their items have a normally distributed length, with a mean...
Part 1 A manufacturer knows that their items have a normally distributed length, with a mean of 17.3 inches, and standard deviation of 4.3 inches. If one item is chosen at random, what is the probability that it is less than 26.5 inches long? Part 2 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2 years, and standard deviation of 0.9 years. If you randomly purchase one item, what is the probability it...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9 inches, and standard deviation of 1.1 inches. If one item is chosen at random, what is the probability that it is less than 14.9 inches long? 2.)A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5 years, and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.4...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.4 years, and standard deviation of 2 years. If you randomly purchase 12 items, what is the probability that their mean life will be longer than 12 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.8...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.8 years, and standard deviation of 1.2 years. If you randomly purchase 22 items, what is the probability that their mean life will be longer than 12 years?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT