25. Wrong Number. Refer to Problem 24. a. Obtain a table of probabilities for the random variable X, stopping when the probabilities become zero to three decimal places. b. Use part (a) to construct a partial probability histogram for X. c. Identify the shape of the probability distribution of X. Is this shape typical of Poisson distributions? d. Find and interpret the mean of the random variable X. e. Find the standard deviation of the random variable X.
25. Wrong Number. Refer to Problem 24. a. Obtain a table of probabilities for the random variable X, stopping when the probabilities become zero to three decimal places. b. Use part (a) to construct a partial probability histogram for X. c. Identify the shape of the probability distribution of X. Is this shape typical of Poisson distributions? d. Find and interpret the mean of the random variable X. e. Find the standard deviation of the random variable X.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
only Q.25
Transcribed Image Text:24. Wrong Number. A classic study by F. Thorndike on the num-
ber of calls to a wrong number appeared in the paper “Applica-
tions of Poisson's Probability Summation" (Bell Systems Technical
Journal, Vol. 5, pp. 604–624). The study examined the number of
calls to a wrong number from coin-box telephones in a large trans-
portation terminal. According to the paper, the number of calls to a
wrong number, X, in a 1-minute period has a Poisson distribution
with parameter ì = 1.75. Determine the probability that during a
1-minute period the number of calls to a wrong number will be
а. ехаctly two.
b. between four and six, inclusive.
c. at least one.
25. Wrong Number. Refer to Problem 24.
a. Obtain a table of probabilities for the random variable X, stopping
when the probabilities become zero to three decimal places.
b. Use part (a) to construct a partial probability histogram for X.
c. Identify the shape of the probability distribution of X. Is this shape
typical of Poisson distributions?
d. Find and interpret the mean of the random variable X.
e. Find the standard deviation of the random variable X.
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