(1 point) The weather in Rochester in December is fairly constant. Records indic

Question

(1 point) The weather in Rochester in December is fairly constant. Records indicate that the low temperature for each day of the month tend to have a uniform distribution over the interval 15 to 35'F. A business man arrives on a randomly selected day in December. (a) What is the probability that the temperature will be above 28"? answer (b) What is the probability that the temperature will be between 17' and 31 ? answer (c) What is the expected temperature? answer Note: You can earn Dartial credit on this oroblem.

Explanation / Answer

Solution :

Given that,

a = 15

b = 35

(a)

P(x > 28) = (35 - 28) / (35 - 15) = 7 / 20 = 0.35

Probability = 0.35

(b)

P(17 < x < 31) = (31 - 17) / (35 - 15) = 14 / 20 = 0.7

Probability = 0.7

(c)

Expected temperature = (a + b) / 2 = (15 + 35) / 2 = 50 / 2 = 25

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