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The amount of annual snowfall in a certain mountain range is normally distributed with a mean...

The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 73 inches and a standard deviation of 9 inches. What is the probability that the annual snowfall for 1 randomly picked year will be below 75.4 inches? Round your answer to 3 decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

mean = = 73

standard deviation = = 9

n = 1

= 73

=  / n = 9 / 1=9

P( < 75.4) = P[( - ) / < (75.4 -73) / 9]

= P(z <2.67 )

Using z table  

= 0.9962   

probability= 0.996   

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