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Answer:
A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.
Step-by-step explanation:
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.
How to find that a given condition can be modelled by binomial distribution?
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be
P(x = 7) = ⁸C₇ (0.79)⁷ (1 – 0.79)⁽⁸⁻⁷⁾
P(x = 7) = 0.32
Learn more about binomial distribution here:
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