1.A manufacturing machine has a 4% defect rate. An inspector chooses 5 items at random. Use the binomial distribution. Round answers to 4 decimal places. a) What is the probability that at least one will have a defect? b) What is the probability that exactly two will have a defect? c) What is the probability that less than two will have a defect? d) What is the probability that more than one will have a defect?

2. The following table represents the probability of the number of cars owned by a college student.Give your answer to at least 3 decimal places.

x	P(x)
0	0.45
1	0.35
2	0.13
3	0.07

a) Is this a valid discrete probability distribution? Select an answer No, since P(x) 1 and P(x) < 0 Yes, since P(x) 1 and P(x) > 0 No, since P(x) = 1 and 0 P(x) 1 Yes, since P(x) = 1 and 0 P(x) 1

b) Find the mean number of cars owned.

c) Find the standard deviation of the number of cars owned.

d) Find^2

3.The following table represents the probability of the number of cars owned by a college student.Give your answer to at least 3 decimal places.

x	P(x)
0	0.49
1	0.35
2	0.12
3	0.04

a) Is this a valid discrete probability distribution? Select an answer

No, since P(x) = 1 and 0 P(x) 1

Yes, since P(x) 1 and P(x) > 0

Yes, since P(x) = 1 and 0 P(x) 1

No, since P(x) 1 and P(x) < 0

b) Find the mean number of cars owned.