SOLUTION: During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, f

Algebra ->  Probability-and-statistics -> SOLUTION: During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, f      Log On


   

Question 958621: During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, find the probability that the temperature will be as follows:
A.) At most 60 degrees
B.) Between 65 degrees and 70 degrees
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, find the probability that the temperature will be as follows:
A.) At most 60 degrees
z(60) = (60-64.2)/3.2 = -1.9375
P(x <= 60) = P(z <= -1.9375) = 0.02634
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B.) Between 65 degrees and 70 degrees
z(65) = (65-64.2)/3.2 = -0.8/3.2 = -8/32 = -1/4
z(70) = (70-64.2)/3.2 = 1.8125
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P(65 < x < 70) = P(-1/4< z <1.8125) = normalcdf(-1/4,1.8125) = 0.5638
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Cheers,
Stan H.
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