Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $10 minutes. a. The lambda of this distribution is 0.1 b. The probability that the length of a phone call is longer than 12 is P(x 2 12) = | 0.3011942 ' c. The probability that the length of a phone call is shorter than 5 is P(x s 5) = 0.3934693 - d. The probability that the length of a phone call is between 8 and 14 is P(8 s x s 14) = | e. The 86th percentile is a phone call that lasts minutes.
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $10 minutes. a. The lambda of this distribution is 0.1 b. The probability that the length of a phone call is longer than 12 is P(x 2 12) = | 0.3011942 ' c. The probability that the length of a phone call is shorter than 5 is P(x s 5) = 0.3934693 - d. The probability that the length of a phone call is between 8 and 14 is P(8 s x s 14) = | e. The 86th percentile is a phone call that lasts minutes.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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i need help with parts D AND E
Transcribed Image Text:Suppose that the length of long distance phone calls, measured in minutes, is known to have an
exponential distribution with the average length of a call equal to $10 minutes.
a. The lambda of this distribution is 0.1
b. The probability that the length of a phone call is longer than 12 is P(x 2 12) = 0.3011942 .
c. The probability that the length of a phone call is shorter than 5 is P(x s 5) = 0.3934693
d. The probability that the length of a phone call is between 8 and 14 is P(8 < x < 14) =
e. The 86th percentile is a phone call that lasts
minutes.
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