Mathematics, 20.03.2020 19:16 josephicarusmarrujo

In a certain manufacturing process it is known that, on average,1 in every 100 items is defective. What is the probability that the 5th item inspected is the first defective item found?

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Answer from: thomasbarbusca15

The probability that the 5th item inspected is the first defective item found is 0.00961

1 in every 100 items is defective.

So, the probability that an item is defective is:

$p = \frac 1{100}$

If the 5th item inspected is the first defective item found, then the first four items are not defective.

The probability that an item is not defective is calculated using the following complement rule

q = 1 - p

$q = 1 - \frac{1}{100}$

$q = \frac{99}{100}$

The event that the 5th item is the first defective item is represented as:

q q q q p

The probability is then calculated as:

Pr =q^4p

So, we have:

$Pr =(99/100)^4 \times (1/100)$

Express fractions as decimal

$Pr =0.99^4 \times 0.01$

Pr =0.00961

Hence, the probability is 0.00961

Read more about probabilities at:

link

Answer from: kassandrarosario1115

0.96% probability that the 5th item inspected is the first defective item found

Step-by-step explanation:

We have these following probabilities:

1% probability that an item is defective.

99% probability that an item is not defective.

What is the probability that the 5th item inspected is the first defective item found?

First four not defective, with a 99% probability.

Fifth defective, with a 1% probability. So

$P = (0.99)^{4}*0.01 = 0.0096$

0.96% probability that the 5th item inspected is the first defective item found

Answer from: Quest

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

Answer from: Quest

-9

step-by-step explanation:

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In a certain manufacturing process it is known that, on average,1 in every 100 items is defective. W...