Question

In data science, you are given the following problem:
In an inspection of automobiles, 70% of all the automobiles had emissions that did not meet the pollution control requirement. For a random sample
of 20 automobiles, you are required to calculate the probability that 8 automobiles fail the inspection. Which of this code will you use to calculate
the required probability

Answer 1

Given  :70% of all the automobiles had emissions that did not meet the pollution control requirement a random sample  of 20 automobiles

To Find  : calculate the probability that 8 automobiles fail the inspection

Code for the same

Solution:

70% of all the automobiles had emissions that did not meet the pollution control requirement

=> p  = 0.7   ( probability to fail the inspection )

q = 1 - p = 1 - 0.7 = 0.3  Probability to pass inspection

n = 20

x = 8

P(x) = ⁿCₓpˣqⁿ⁻ˣ

P(8) = ²⁰C₈(0.7)⁸(0.3)¹²

= 0.00386

the probability that 8 automobiles fail the inspection = 0.00386

n = = 20

pi = 0.7

 x = 8

value =  stats.binom.cdf(x, n, pi )​  is not correct as it will provide provide probability of failure from 1 to 8  ( cumulative distribution )

stats - Statistic

binom = binomial distribution

cdf = cumulative distribution function.

value = stats.binom.pmf(x, n, pi )​ as we need to get probability of x = 8

pmf = probability mass function.

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Answer 2

Answer:

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Explanation:

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