Suppose that the distribution of the lifetime of a car battery produced by a certain car company is well approximated by a normal distribution with a mean of 1900 hours and variance 104. What is the approximate probability that a batch of 100 car batteries will contain at least 18 whose lifetimes are less than 1813 hours?

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A: Population mean=72Population standard deviation=27Sample size n=81

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A: Number of boys = 10Number of girls = 5

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A: Mean=1, variance=13

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A: The  is the discrete random variable with a range of values .The cumulative distribution function…

Q: 6) Scores on an examination are assumed to be normally distributed with mean 78 and variance 36.…

A: From the provided information,X~N (78, 6)

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A: Let X be the amount of time. X1232711207097451557330709040168698615653610768521268666

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A:

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A: Given that  be the Markov chain on state space  with transition matrix:

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A: Cell…

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A: Given that  be the Markov chain on state space  with transition matrix:

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A: X~N( μ , ?)μ=22    , ?=1.22    ,n=67Z-score =( x - μ )/?

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A: The provided information is as follows:The probability mass function is given as  310.250.30.45

Q: 5.) If a fair die is rolled 12 times, what is the probability that the sum of the rolls is 30?

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Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

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Q: A box contains 2 red balls, 2 blue balls and 1 green ball. We draw, simultaneously without…

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Q: The Federal Bureau of Investigation reported the statistics in the following table for homicides in…

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Q: 2. Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix (1/2 1/2 0 0…

A: Given that  be the Markov chain on state space  with transition matrix:

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A: There are 9 specimens of basaltic rock and 10 specimens of granite rock. 15 specimens are randomly…

Q: 8 red, 9 blue, and 6 yellow candies are in a dish. If 10 candies are selected, what is the…

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Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

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Q: Problem 3 You're looking into the voltage outputted by a power supply. You collected outputs from 16…

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