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eBook Exercise 6.43 (Algorithmic)). The time in minutes for which a student uses a computer terminal at the computer center of a major unlversity follows an exponential probability distribution with a mean of 36 minutes. Assume a student arrives at the terminal just as another student is beginning to work on the terminal a. What is the probabllity that the walt for the second student will be 15 minutes or less (to 4 decimals)? b. What is the probability that the wait for the second student will be between 15 and 45 minutes (to 4 decimals)? c. What is the probability that the second student will have to wait an hour or more (to 4 decimals)?

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Ans:- The time in minutes for which a student uses a computer terminal at the computer center of a major University follows an exponential probability distribution with a mean of 36 minutes.

Assume the student atrựes ar the terminal Just a anothes student is beginii to work on -the -Herminal Crive χ c exp(36) 36 -x36 or Second student ib be minue ess- -1S136 1- 0 659 Ther/órt, the probability that the wad 367 secina sudent uiiu be s minulu o less is 0.3409 b) -The probability thaf the wad 8ov secand -4-5 -16136 - (i- o. 2863) C1- 0.6590. 3728 Probability wai,or-the The Secandle student uU be 3 0.3128 -tha)--the beli-een 15 and 4-s ‘rt,-th e Te probability thaトthe second student use eS ave to uwau An hous a 6o mìnues 60136 -60136 s*iden will have to wait an hou r dr mor ,SC

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