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lys-0071 [83]
3 years ago
11

Vera examined a random sample of deodorants distributed by her company. She found the following probabilities:

Mathematics
2 answers:
kkurt [141]3 years ago
6 0

P(for men | botanic) = 5/18

diamong [38]3 years ago
4 0

Answer:

0.28

Step-by-step explanation:

We are given that

P(for men)=0.55

P(Botanic scent)=0.18

P(for men and botanic )=0.05

We have to find the probability that a deodorant is for men given that it has a botanic scent.

i.eP(For men/Botanic scent)

Conditional probability:P(A/B)=\frac{P(A\cup B)}{P(B)}

Using the formula

P((For men/Botanic scent)=\frac{P(For\;men\;and\;botanic)}{P(botanic\;scent)}

P(For men/Botanic scent)=\frac{0.05}{0.18}

P(For men/Botanic scent)=0.28

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Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

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Or, x= 76000/8= 9,500

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8 0
3 years ago
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Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

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So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987

Hence, a) 0.8413, b) 0.9987.

4 0
3 years ago
Isaiah and Wanda both went bowling last weekend, but not together. Isaiah went during open bowling time, paying $16 for shoe ren
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Let the number of hours bowled by Isaiah and Wanda be X

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Wanda spent 13 dollars on shoe rental and 5X on bowling

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y = mx + b
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