2 years ago

499 as a fraction in simplest form

Mathematics

1 answer:

kompoz [17]2 years ago

4 0

Answer:

499/1

Step-by-step explanation:

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In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

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The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

$X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}$

$= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}$

$= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}$

$= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}$

$= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}$

= 0.0087999

≅ 0.0088

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