. Suppose that the time T (minutes) between two consecutive visits to a website follows exponential distribution given by f(t) = 2e^−2t , t ≥ 0. Calculate the following. a. The probability that the time between two visit is less than 1 minute. b. The probability that the time between two visit is at most 2 minutes. c. The probability that the time between two visit is at least 90 seconds. d. The average time between two visits. Refer the Image for better clarity.

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4. Suppose that the time T (minutes)
between two consecutive visits to a
website follows exponential distribution given by f(t) = 2e^−2t
, t ≥ 0.
Calculate the following.
a. The probability that the time
between two visit is less than
1 minute.
b. The probability that the time
between two visit is at most
2 minutes.
c. The probability that the time
between two visit is at least
90 seconds.
d. The average time between
two visits.

Refer the Image for better clarity.

4. Suppose that the time T (minutes)
between two consecutive visits to a
website follows exponential distri-
bution given by f(t) = 2e-2", t > 0.
Calculate the following.
a. The probability that the time
between two visit is less than
1 minute.
b. The probability that the time
between two visit is at most
2 minutes.
c. The probability that the time
between two visit is at least
90 seconds.
d. The average time between
two visits.
Transcribed Image Text:4. Suppose that the time T (minutes) between two consecutive visits to a website follows exponential distri- bution given by f(t) = 2e-2", t > 0. Calculate the following. a. The probability that the time between two visit is less than 1 minute. b. The probability that the time between two visit is at most 2 minutes. c. The probability that the time between two visit is at least 90 seconds. d. The average time between two visits.
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