Mathematics, 09.07.2019 11:20 gomezyonathan93
Anew iphone user receives an average of 4.2 phone calls per hour. the calls occur randomly in time so if x = the number of calls received in an hour, then we can assume that x has a poisson distribution with parameter λ = 4.2. let y = the number of phone calls received in a day. assume all necessary independence in the following. a. y also has a poisson distribution. what is the λ for y? b. what is the standard deviation of x? c. what is the standard deviation of y? d. what is the probability that no calls are received in an hour? e. what is the probability that more than 120 calls are received in a day? f. what is the probability that y is between 90 and 110 inclusive? (i. e. 90 ≤ y≤110) g. what is the variance of square root of 2y? h. assume this distribution holds for all hours and days and that one call is independent from another. what is the probability that 120 or fewer calls are received for every day of this week? (assume appropriate independence add any comments below.
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Anew iphone user receives an average of 4.2 phone calls per hour. the calls occur randomly in time s...
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