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3 years ago

Which of the following does the situation below best describe?

Mathematics

1 answer:

mestny [16]3 years ago

3 0

The answer to the question is c

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3 years ago

A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t

Vikki [24]

Answer:

The value is $P(X \ge 9) = 0.9138$

Step-by-step explanation:

From the question we are told that

The probability of passing the test is $p = 0.95$

The sample size is n = 10

Generally the distribution of the comprehensive testing of equipment follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that at least 9 pass the test is mathematically represented as

$P(X \ge 9) = P(X = 9 ) + P(X = 10 )$

=> $P(X \ge 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}] + [^{10}C_{10} * (0.95)^{10} * (1- 0.95)^{10-10}]$

=> $P(X \ge 9) = [0.3151] + [0.5987]$

=> $P(X \ge 9) = 0.9138$

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3 years ago