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Dr. Sabbaghi is taking two flights today. The flight time for the first flight is Normally...

Dr. Sabbaghi is taking two flights today. The flight time for the first flight is Normally distributed with a mean of 90 minutes and a standard deviation of 3 minutes. The flight time for the second flight is Normally distributed with a mean of 110 minutes and a standard deviation of 4 minutes. His total flight time today has what type of distribution with what mean and standard deviation?

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Answer #1

theory:-

if X1 and X2 be two independent normal variables such that,

,  

then the sum of the two random variable:-

]

SOLUTION :-

X1 : flight time for the first flight

X2 : flight time for the second fight.

according to the problem,

the total flight time today will follow :-

His total flight time today has normal distribution with mean 200 and standard deviation 5.

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible..

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