In examining the past fires during the summer months the chi

In examining the past fires during the summer months, the chief. finds that Kpf all fires require only one truck, and the amount of time required per fire is normal distributed with mean 3 hr and standard deviation 1/2 hr The other1/2 of fires reported required only two trucks, and the amount of time required per fire is normally distributed with mean 4 hr and standard deviation 1 hr. Assume the necessary trucks are always available to respond Develop a flowchart (model) to find and pnnt the following statistics for the summer months 91 days ANf Average number of fires fought per day MXT Maximum number of trucks needed per day important: dearly define the variables that you use in your flowchart

Solution

Answer to the qestion)

Expected number of fires per day = sum of x*p

expected number of fires per day = 0*0.12+1*0.18+2*0.3+3*0.25+4*0.15

expected number of fires per day = 0 + 0.18 + 0.6 + 0.75 + 0.60

expected number of fires per day = 2.13

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Now 3/4th of these fires need 1 truck = 2.13*3/4 = 1.5975 trucks

1/4 th of these fires need 2 trucks = 2.13 * 1 /4 * 2 = 1.065 trucks

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time taken by 1 truck is : 3 hrs , thus total time taken = 1.5975 *3 = 4.7925

time taken by 2 trucks is : 4 hrs, thus total time taken = 1.065 *4 = 4.26

Total time taken per day = 4.7925 + 4.26 = 9.0525

.

Hence time taken for 91 days = 9.0525 * 91 = 923.7775 ~ 924 hours