The price of a stock is uniformly distributed between $30 and $40. a. Write the probability density function, f(x), for the price of the stock. b. Determine the expected price of the stock. c. Determine the standard deviation for the stock. d. What is the probability that the stock price will be between $34 and $38

a)

b)

c)

And the deviation would be:

d)

Step-by-step explanation:

For this case we define the random variable X with this distribution:

Part a

The density function since is an uniform distribution is given by:

Part b

The expected value is given by:

Part c

The variance is given by:

And the deviation would be:

Part d

For this case we want this probability:

And we can use the cumulative distribution function given by:

And using this we got:

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared