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?
-1

Answer 1

I only got the part c right.I don't get why part a is not 1/3 and part b 4/9?

Answer 2

there are 8 degrees in the interval

a) there are 3 degrees above 0 in the interval
probability = 3/8

b) there are 3 degrees between -2 and 1
probability = 3/8

Answer 3

Hmm for a) i thought it's 3/9 = 1/3 as well as you..
b) i think between -2 and 1 i think is NOT including -2 and 1 so we basically need to find the probability of it being -1 or 0.. which is 2 degrees out of 9.. 2/9

Answer 4

Isn't there supposed to be 9 degrees?

-5, -4, -3, -2, -1, 0, 1, 2, 3?

Answer 5

yes but the range is 8, so the temperature is only distributed over and interval of 8 degrees even though its 9 integer degrees when you include the endpoints

Answer 6

oh i see!!Thanks!!

Answer 7

Hmm ok, makes sense )

Answer 8

S, think continuous not discrete temperatures :)

Answer 9

Yea, i see now =)