Please answer both parts of the question and show all to arr

Please answer both parts of the question and show all to arrive at final answer. Thank you.

A company produces a cement mix which requires a specific limit on foreign inclusions. Assuming the distribution for percent foreign inclusions follows a beta distribution with alpha = 3 and beta = 7.

What is the mean and variance for Y?

A lot of your product can only be accepted if percent foreign inclusions are < 10%. What is the probability of lot acceptance?

Solution