Find the conditional probability mass function pY|X (y | 3).

1.  Refer to Exercise 12.

a.   Let Z = X + Y represent the total number of repairs needed.

b.  Find µZ .

c.    Find σZ .

d.   Find P(Z = 2).

 

2.   Refer to Exercise 12. Assume that the cost of an engine repair is $50, and the cost of a transmission repair is $100. Let T represent the total cost of repairs during a one-hour time interval.

a.  Find µT .

b.  Find σT .

c.    Find P(T = 250)

 

3.  Refer to Exercise 12.

 

a.   Find the conditional probability mass function pY|X (y | 3).

b.   Find the conditional probability mass function pY|X (x | 1).

c.    Find the conditional expectation E(Y | X = 3).

d.  Find the conditional expectation E(X | Y = 1).

find the cost of your paper

What is the probability that the parcel was shipped express and arrived the next day?

1.  In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective,….

Given that the test is positive, what is the probability that the person has the disease?

1.  Refer to Exercise 28. Assume that both inspectors inspect every item and that if an item has no flaw, then neither inspector will detect a flaw. a.  Assume that….

If a man tests negative, what is the probability that he actually has the disease?

1.  Refer to Example 2.26. a.  If a man tests negative, what is the probability that he actually has the disease? b.  For many medical tests, it is standard procedure….