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Sati [7]
3 years ago
13

The probability, P, that a person responds to an advertisement can be modeled by the exponential function P = 1 – e^-0.047t. In

the formula, t is the number of days since the advertisement first appeared. What is the probability that a person has responded after 20 days?
a.20.9%
b.45.3%
c.60.9%
d.98.5%
Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

c. 60.9%

Step-by-step explanation:

Given:

The probability P that a person responds to an advertisement can be modeled by the function:

P=1-e^{-0.047t}

where t represents number of days since the advertisement first appeared.

To find the probability that a person has responded after 20 days.

Solution:

In order to find the probability that a person has responded after 20 days, we will plugin t=20 in the formula given.

We have:

P(t)=1-e^{-0.047t}

Plugging in t=20

P(20)=1-e^{-0.047(20)}

P=1-e^{-0.94}

P=1-e^{-0.047t}

P=1-0.3906

P=0.6094

Thus, probability P after 20 days = 0.6094

The probability in percentage can be given = 0.6094\times 100= 60.9%

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