## Identify the distribution of X—name and parameter(s).

1. When local calls are made in NYC, 60% go through on the first try, and the rest get a busy signal. (We assume there is no third possibility).

Let X=# times a call is actually placed for the call to go through

Of course on each try, the call goes through with probability .6.

a. Identify the distribution of X—name and parameter(s). Explain your choice. What is

P[X>1].

b. How many calls do you expect to have to place in order to get through 5 times? First identify the distribution of the # of calls required to get through 5 different times.

c. Let X=total # of calls that get a busy line when 10 different numbers are attempted, once each.

i. What is the distribution of X

ii. What is P[ X >2 ] ?

### 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….