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3 years ago

40x3030x402x40/4345 plz help i dont get this

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

<em>Hi There!</em>

<em>The answer is below!</em>

Step-by-step explanation:

$40$ × $3030$ ≈ $121,200$

$121,200$ × $402$ ≈ $48,722,400$

$48,722,400$ × $40$ ≈ $1,948,896,000$

$1,948,896,000$ ÷ $448537.6294591484$

$Um.....I$ $don't$ $this$ $is$ $100$ % $percent$ $right.....$

$GoodLuck!$

$_{Loserbrazts}$

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a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

$P(A) = 0.09*0.15 + 0.03*0.85 = 0.039$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462$

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that $P(A) = 0.15$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09$

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

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