Ask Question
6 August, 00:06

A manufacturer of alkaline batteries has observed that its batteries last for an average of 26 hours when used in a toy racing car. The amount of time is normally distributed with a standard deviation of 2.5 hours. What is the probability that the battery lasts longer than 28 hours? a. What is the probability that the battery lasts between 24 and 28 hours? b. What is the probability that the battery lasts longer than 28 hours? c. What is the probability that the battery lasts less than 24 hours?

+2
Answers (1)
  1. 6 August, 03:24
    0
    a) 0.5763 b) 0.2119 c) 0.2119

    Step-by-step explanation:

    In order to find find the probability that the battery lasts between 24 and 28 months, we have to find z

    Z = (x - mean) / standard deviation

    Le x be hours a battery last

    P (24
    P (24
    Then we use the z table to find the area under the curve.

    P (24
    the probability that the battery lasts longer than 28 hours

    P (x>28) = P (z > (28 - 26) / 2.5)

    P (x>28) = P (z > 0.8)

    Then we use the z table to find the area under the curve.

    P (x>28) = 0.2119

    the probability that the battery lasts less than 24 hours

    P (x<24) = P (z < (24 - 26) / 2.5)

    P (x<24) = P (z < - 0.8)

    P (x<24) = 0.2119
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A manufacturer of alkaline batteries has observed that its batteries last for an average of 26 hours when used in a toy racing car. The ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers