The weather in Vancouver 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 −5∘ to 3∘C. (Note that a uniform distribution is one whose probability density function is defined to be constant over the given interval.) A business man arrives on a randomly selected day in December.
(a) What is the probability that the low temperature will be above 0∘?
(b) What is the probability that the low temperature will be between −2∘ and 1∘?
(c) What is the expected low temperature?
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Question

The weather in Vancouver 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 −5∘ to 3∘C. (Note that a uniform distribution is one whose probability density function is defined to be constant over the given interval.) A business man arrives on a randomly selected day in December. 
(a) What is the probability that the low temperature will be above 0∘? 
(b) What is the probability that the low temperature will be between −2∘ and 1∘? 
(c) What is the expected low temperature? 
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