Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
What is the probability that their average capacity will be between 14.75 and 15.10 gallons?
If four tanks are randomly selected, what is the probability that their average capacity will be between 14.75 and 15.10 gallons?
A) 0.2397
B) 0.6808
C) 0.9084
D) 0.9962
approximately normal distribution with a mean of 15 gallons and a standard deviation of 0.15 gallons.
Please explain how you got your answer.
1 Answer
- Ron WLv 71 decade agoFavorite Answer
I believe the answer is (C), by the Central Limit Theorem (though the sample size is awfully small for invoking this result).
P(14.75 < xbar < 15.1) = P((14.75-15)/(0.15/√4) < (xbar-μ)/(σ/√N) < (15.1 - 15)/(0.15/√4))
= P(-3.3333 < Z < 1.3333)
= N_Z(1.3333) - N_Z(-3.3333)
= .908783 - .000429
= .9084 (rounded to 4 digits)
