Calculas help, can't figure out solution

ejohnson123 said:

1. The price of a stock is uniformly distributed between $30 and $40
   1. What is the probability that the stock price will be between $34 and $38?
   2. What is the probability that the stock price will be less than or equal to $32?
   3. What is the expected price of the stock?
   4. What is the variance?

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What is the definition of uniform distribution?

Please share your work with us .

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ejohnson123 said:

The price of a stock is uniformly distributed between $30 and $40

1. 1. What is the probability that the stock price will be between $34 and $38?
   2. What is the probability that the stock price will be less than or equal to $32?
   3. What is the expected price of the stock?
   4. What is the variance?

Click to expand...

​If \(\displaystyle X\) is uniformly distributed in \(\displaystyle [a,b]\) then
\(\displaystyle \\1)~\text{if }a\le c<d\le b\text{ then }\mathcal{P}(c<X<d)=\dfrac{d-c}{b-a}\\2)~\mathcal{P}(X<d)=\dfrac{d-a}{b-a}\\3)~E(X)=\dfrac{b+a}{2}\\4)~SD(X)=\sqrt{\dfrac{(b-a)^2}{12}}\).

Now you use that to show some of your own work.