Question 4: The amount of snow during a snowstorm in a town follows a lognormal

Question

Question 4: The amount of snow during a snowstorm in a town follows a lognormal distribution with an expected value of 10 inches and standard deviation of 3 inches. . A snow storm is said to be severe if the snow fall in inches exceeds 12 inches. Determine the probability of a particular snow storm being severe? probability of a particular snow storm being extreme? the town receives two snowstorms in December determine the probability of both being . A snow storm is said to be extreme if the snow fall exceeds 15 inches. Determine the . A regular snowstorm is defined as a snow storm which is neither severe nor extreme. If regular (assume the amount of snow falling in both snow storms are independent)?

Explanation / Answer

Ans:

1)P(x>12)

z=(ln(12)-10)/3=(2.485-10)/3=-2.51

P(z>-2.51)=0.9940

2)P(x>15)

z=(ln(15)-10)/3=(2.708-10)/3=-2.43

P(z>-2.43)=0.9925

3)P(x<12 or x<15)=P(x<12)

P(z<-2.51)=P(z>2.51)=1-0.994=0.006

Probability that both being regular=0.0062=0

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