1. A grocery store employs cashiers, clerks, and deli personnel. The distribution of employees according to marital status is shown here

Marital status	Cashiers	Clerks	Deli personnel	Total
Married	8	12	3	23
Not married	5	15	2	22
Total	13	27	5	45

One employee is randomly selected from these 45 employees. Write your answers up to 3 decimal places.

(a) Find the probability that this employee is a cashier or deli personnel.

(b) Find the probability that this employee is a cashier given that he/she is married.

(c) Are the events Cashiers and not married mutually exclusive? Justify your response numerically.

(d) Are the events Clerks and not married independent? Justify your response numerically.

2. Let the random variable X represent the number of courses a randomly selected student at a certain university is registered in. The following table represents the probability distribution of .

x	1	2	3	4	5
P(X=x)	k	0.03	0.09	0.30	0.56

(a) Find the value of .

(b) Find the mean number of courses taken by a randomly selected student.

(c) Find the standard deviation of the number of courses taken by a randomly selected student.

(d) Find the probability that a randomly selected student is taking more than 33 courses.