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A.)  P(X=1) B.)    P(X  ≤ 8) C.)  P(X  ≥ 2) D.)  P(X < 5)

A.)  P(X=1) B.)    P(X  ≤ 8) C.)  P(X  ≥ 2) D.)  P(X < 5)

MATLAB: An Introduction with Applications
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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Question

A.)  P(X=1)

B.) 

 
P(X  ≤ 8)

C.) 

P(X  ≥ 2)

D.) 

P(X < 5)
Poisson Distribution The mean number of accidents in a certain intersection is 5 per day. Calculate the folllowing probabilities using the Poisson Distribution Function in Excel. a. The probability that 4 accidents will occur. This is P(X = 4) In cell B3, type: =POISSON.DIST(4,5,0). The first value is x, the second is the mean, and finally O means non cumulative. b. The probability that at most 3 accidents will occur. (Less than or equal) This is P(X S 3) In cell B4, type: =POISSON.DIST(3,5,1) The first value is x, the second is the mean, and finally 1 means cumulative. c. The probability that at least 7 accidents will octur. (Greater or equal) This is P(X 2 7) = 1-P(X s 6) In cell B5, type: =1-POISSON.DIST(6,5,1) Complete the rest of the probabilities from B7 to B10 in the same manner. *B10 has a strict inequality as to not include the value of 5. Adjust your formula accordingly.
Transcribed Image Text:Poisson Distribution The mean number of accidents in a certain intersection is 5 per day. Calculate the folllowing probabilities using the Poisson Distribution Function in Excel. a. The probability that 4 accidents will occur. This is P(X = 4) In cell B3, type: =POISSON.DIST(4,5,0). The first value is x, the second is the mean, and finally O means non cumulative. b. The probability that at most 3 accidents will occur. (Less than or equal) This is P(X S 3) In cell B4, type: =POISSON.DIST(3,5,1) The first value is x, the second is the mean, and finally 1 means cumulative. c. The probability that at least 7 accidents will octur. (Greater or equal) This is P(X 2 7) = 1-P(X s 6) In cell B5, type: =1-POISSON.DIST(6,5,1) Complete the rest of the probabilities from B7 to B10 in the same manner. *B10 has a strict inequality as to not include the value of 5. Adjust your formula accordingly.
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