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%

c. 60.9%

Step-by-step explanation:

Given:

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

where 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 in the formula given.

We have:

Plugging in

Thus, probability after 20 days = 0.6094

The probability in percentage can be given = = 60.9%

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step-by-step explanation:

i think the answer is b