1) Suppose that a box contains 8 cameras and that 3 of them are defective

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1) Suppose that a box contains 8 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample.

Hint: Make a probability tree for selecting 2 cameras without replacement.

Write the probability distribution for X.

k	P(X=k)

What is the expected value of X?

2.)

Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Find the probability distribution given the probability p=0.614p=0.614 of success on a single trial. Report answers accurate to 4 decimal places.

k	P(X = k)
0
1	.0682
2
3
4	.2743
5

3.)

Suppose that 65% of all voters prefer Candidate A.

If 10 people are chosen at random for a poll, what is the probability that exactly 3 of them favor Candidate A?