Question

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

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given,

= 550 , = sqrt(100) = 10

We convert this to standard normal as

P( X < x) = P( Z < x - / )

P( X < 568) = P( Z < 568 - 550 / 10)

= P( Z < 1.8)

= 0.9641

Add a comment
Know the answer?
Add Answer to:
The life of a certain AAA batteries is normally distributed with a variance of 100 hours...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The life span of a battery is normally distributed, with a mean of 2000 hours and...

    The life span of a battery is normally distributed, with a mean of 2000 hours and a standard deviation of 50 hours. A) What percent of batteries have a life span that is more than 2080 hours? B) Would it be unusual for a battery to have a life span that is more than 2080 hours? [Explain your reasoning.] What percent of batteries have a life span that is more than 2080 ​hours? Approximately ___% of batteries have a life...

  • NeverReady batteries has engineered a newer, longer-lasting AAA battery. This battery has an average life span...

    NeverReady batteries has engineered a newer, longer-lasting AAA battery. This battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Assume that the lifetime is distributed approximately normally. What is the probability of getting a battery with lifetime16 hours or less? (Round to 3 decimal places) NeverReady batteries has engineered a newer, longer-lasting AAA battery. This battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Assume that...

  • Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation...

    Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 17 AAA batteries produced by this manufacturer lasted a mean of 11 hours with a standard deviation of 2.5 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then complete the table below.Carry your intermediate computations to at least...

  • The life spans of car batteries are normally distributed, with a mean of 62 months and...

    The life spans of car batteries are normally distributed, with a mean of 62 months and a standard deviation of 5 months. (a) Find the probability that the life span of a randomly selected battery is less than 42 months. (b) Find the probability that the life span of a randomly selected battery is between 44 and 56 months. (c) What is the shortest life expectancy a car battery can have and still be in the top 5% of life...

  • The life in hours of a battery is known to be approximately normally distributed, with standard...

    The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of x = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.010. The battery life significantly different greater than 40 hours at a = 0.010. (b) What is the P-value for the test in part (a)? P-value =...

  • 2 3 5 Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate...

    2 3 5 Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 15 AAA batteries produced by this manufacturer lasted a mean of 10.5 hours with a standard deviation of 2.4 hours. Find a 90% confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then complete the table below. Carry your intermediate...

  • The lifetime of a certain type of battery is normally distributed with mean value 10 hours...

    The lifetime of a certain type of battery is normally distributed with mean value 10 hours (a) If a pack of 4 batteries is purchased, what is the probability that the average lifetime of the (b) How many batteries must be purchased such that the probability that their average lifetime is at and standard deviation 1 hour batteries in the package is at least 9 hours? least 9.5 hours is .99?

  • The lifetime of a battery in a certain application is normally distributed with mean = 16...

    The lifetime of a battery in a certain application is normally distributed with mean = 16 hours and standard deviation o = 2 hours. a) What is the probability that a battery will last more than 19 hours? Select] b) Find the 10th percentile of the lifetimes. (Select] c) A particular battery lasts 14.5 hours. What percentile is its lifetime on? Select)

  • Question number 7 The ABC battery company claims that their batteries last 100 hours, on average....

    Question number 7 The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n 20 batteries. Some of the information related to the hypothesis test is presented below. Test of...

  • minitab Can anyone help me with minitab question?   The life spans of car batteries are normally...

    minitab Can anyone help me with minitab question?   The life spans of car batteries are normally distributed, with a mean of 44 months and a standard deviation of 5 months. A car battery is selected at random. Find the probability that the life span of the battery is less than 36 months. What is the shortest life expectancy a car battery can have and still be in the top 5% of life expectancies?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT