(a) Find the probability that the total loss of ice layer in 2 years will exceed 25 inches. (b) Find the probability that the loss of ice in next year by 3 inch in comparison to first year and assume that the loss of ice for the next two years are independent.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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4.
Data from weather control board in every year presents the
melting of ice layer of Gangotri glacier is a normal random
variable with a mean of 12.08 inches and standard deviation
of 3.1 inches.
Hints: Assume Xi is the random variable of ice loss ith
year. The combined variance for two years is (2x (3.1^2))
=19.22.
(a) Find the probability that the total loss of ice layer in 2
years will exceed 25 inches.
(b) Find the probability that the loss of ice in next year by
3 inch in comparison to first year and assume that the loss
of ice for the next two years are independent.
Transcribed Image Text:4. Data from weather control board in every year presents the melting of ice layer of Gangotri glacier is a normal random variable with a mean of 12.08 inches and standard deviation of 3.1 inches. Hints: Assume Xi is the random variable of ice loss ith year. The combined variance for two years is (2x (3.1^2)) =19.22. (a) Find the probability that the total loss of ice layer in 2 years will exceed 25 inches. (b) Find the probability that the loss of ice in next year by 3 inch in comparison to first year and assume that the loss of ice for the next two years are independent.
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