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Please answer questions d , e and f for me

Please answer questions d , e and f for me

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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Please answer questions d , e and f for me
The following table is a probability distribution of the amount of time required to evacuate the low-lying areas of the Gulf Coast in the event of a hurricane. Time to evacuate 13 (in hours) Probability 14 15 16 17 18 0.04 0.25 0.40 0.18 0.10 0.03 a) Let X be the random variable 'time to evacủate in hours'. Compute E(X) by hand. b) c) Compute Var(X) by hand. Compute the standard deviation of X d) Does this data appear to be normal? Explain. Assuming the data is normal, and use the answers from above to compute the probability that the time to evacuate will be less than or equal to 14 hours, e) f) Scientists cannot predict when and where a hurricane will make landfall more than 14 hours in advance. If the government waits to evacuate when they get a prediction from the scientists, what is the probability that the area will be evacuated safely?
Transcribed Image Text:The following table is a probability distribution of the amount of time required to evacuate the low-lying areas of the Gulf Coast in the event of a hurricane. Time to evacuate 13 (in hours) Probability 14 15 16 17 18 0.04 0.25 0.40 0.18 0.10 0.03 a) Let X be the random variable 'time to evacủate in hours'. Compute E(X) by hand. b) c) Compute Var(X) by hand. Compute the standard deviation of X d) Does this data appear to be normal? Explain. Assuming the data is normal, and use the answers from above to compute the probability that the time to evacuate will be less than or equal to 14 hours, e) f) Scientists cannot predict when and where a hurricane will make landfall more than 14 hours in advance. If the government waits to evacuate when they get a prediction from the scientists, what is the probability that the area will be evacuated safely?
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