4. Suppose that the time T (minutes)between two consecutive visits to awebsite follows exponential distribution given by f(t) = 2e^−2t, t ≥ 0.Calculate the following.a. The probability that the timebetween two visit is less than1 minute.b. The probability that the timebetween two visit is at most2 minutes.c. The probability that the timebetween two visit is at least90 seconds.d. The average time betweentwo visits.Refer the Image for better clarity. 4. Suppose that the time T (minutes)between two consecutive visits to awebsite follows exponential distri-bution given by f(t) = 2e-2", t > 0.Calculate the following.a. The probability that the timebetween two visit is less than1 minute.b. The probability that the timebetween two visit is at most2 minutes.c. The probability that the timebetween two visit is at least90 seconds.d. The average time betweentwo visits.

Answered: Image /qna-images/answer/59eda414-f8ec-47c7-8958-b2da477ff81b.jpg

. 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.

. 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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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.

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