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tia_tia [17]
3 years ago
10

Suppose that the probability that a customer plans to make a purchase is 0.32. Suppose that the probability of responding to an

advertisement given that the customer plans to make a purchase is 0.63 and that the probability of responding to an advertisement given that a person does not plan to make a purchase is 0.16. Given that a person responds to the advertisement, what is the probability that they plan to make a purchase?
Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

0.6495

Step-by-step explanation:

This is question based on conditional probability

The probability that a customer plans to make a purchase = 0.32.

The probability that a customer plans not to make a purchase = 1 - 0.32

= 0.68

The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63

The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.

Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:

0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)

= 0.2016/ 0.2016 + 0.1088

= 0.2016/0.3104

= 0.6494845361

Approximately = 0.6495

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jasenka [17]
<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

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C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

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There are 12 inches a foot, so,

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12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

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60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

8 0
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Step-by-step explanation:

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