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
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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