Chapter 6, Problem 32RE

(a)

To determine

To calculate: The probability that a college selected randomly from the state offers an engineering major if the number of colleges in a state are $50$ out of which the number of private colleges are $25$. Colleges offering engineering majors are $15$ and the private colleges offering engineering majors are $5$.

(b)

To determine

To calculate: The probability that a college selected randomly from the state offers an engineering major provided that it is public if the number of colleges in a state are $50$ out of which the number of private colleges are $25$. Colleges offering engineering majors are $15$ and the private colleges offering engineering majors are $5$.

(c)

To determine

To calculate: The probability that a college selected randomly from the state is private college provided that it offers an engineering major if the number of colleges in a state are $50$ out of which the number of private colleges are $25$. Colleges offering engineering majors are $15$ and the private colleges offering engineering majors are $5$.

(d)

To determine

To calculate: The probability that a college selected randomly from the state is public college provided that it offers an engineering major if the number of colleges in a state are $50$ out of which the number of private colleges are $25$. Colleges offering engineering majors are $15$ and the private colleges offering engineering majors are $5$.