Battery Brigade has tested 16 Die Hard car batteries, each five years old, to see whether each battery will start car after sitting out in -30-degree Celsius weather for 24 hrs. on the basis of past experience, battery brigade estimates the probability to be 0.05 that a battery will not start the car. Use the binomial probability distribution to answer the following questions, rounding final answers to 4 decimal places. A) what is the probability that 3 of the batteries will not start the car? b) what is the probability that all 16 of the batteries will start the car? c) what is the probability that 2 or more of the batteries will not start the car? d) compute the mean and standard deviation of this binomial probability distribution.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. Battery Brigade has tested 16 Die Hard car batteries, each five years old, to see whether each battery will start car after sitting out in -30-degree Celsius weather for 24 hrs. on the basis of past experience, battery brigade estimates the probability to be 0.05 that a battery will not start the car. Use the binomial probability distribution to answer the following questions, rounding final answers to 4 decimal places.

A) what is the probability that 3 of the batteries will not start the car?

b) what is the probability that all 16 of the batteries will start the car?

c) what is the probability that 2 or more of the batteries will not start the car?

d) compute the mean and standard deviation of this binomial probability distribution.

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