Question
In: Statistics and Probability
The average rainfall during the month of April follows a normal distribution with a mean of...
The average rainfall during the month of April follows a normal distribution with a mean of 5 in. and a standard deviation of 0.6 in. What is the probability that the rainfall in April will be less than 4 in.?
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Expert Solution
ANSWER:
Given that,
The average rainfall during the month of April follows a normal distribution with a mean of 5 in. and a standard deviation of 0.6 in. What is the probability that the rainfall in April will be less than 4 in.?
Mean = 
= 5 in.
Standard deviation = 
= 0.6 in
We know that,
z = (x-)
/
= (x-5) / 0.6
What is the probability that the rainfall in April will be less than 4 in.
P(x < 4) = P((x-)
/
< (4-5) /0.6)
P(x < 4) = P(z < -1 /0.6)
P(x < 4) = P(z < -1.67)
P(x < 4) = 0.04746 (from z score table)
The probability that the rainfall in April will be less than 4 in. is 0.04746
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orchestra answered 1 year agoRelated Solutions
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