The fraction of juice which can be squeezed from an apple is a random variable with the following density:

a. Find the value of k that makes this a valid probability density function.
b. What is the expected fraction of juice which can be squeezed from an apple?
c. What is the standard deviation in the fraction of juice which can be squeezed from an apple?
d. What is the probability that an apple will have more than half of the juice squeezed?

Transcribed Image Text:

fx(z)-) k(1-2P if 0 < r < 1 elsewhere 0