Average depth of snow in february

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The average depth of snow at a ski resort in February can be modelled by a normal distribution with a mean of 3.25m and a standard deviation of 1.45m.

a. Find the probability that for a year chosen at random the average depth of snow in February is less than 2m.

b. Find the number of years in a century when the average depth of snow in February is expected to be more than 5m.

c. For a randomly chosen year, the probability of the average snow level being less than H meters is 0.03. Find the value of H.

Reference no: EM132853503

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