I need help with this pls:

1. A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defectives in the sample of two. Explain why x is a binomial random variable.

2. You have been asked to do a survey of student satisfaction with MyMathLab courses at a community college. Describe how you would obtain a sample of these types: stratified and simple random.

Question

I need help with this pls:

1.	A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defectives in the sample of two. Explain why x is a binomial random variable.

2.	You have been asked to do a survey of student satisfaction with MyMathLab courses at a community college.  Describe how you would obtain a sample of these types:  stratified and simple random.

kropot72 · Answer

1. The sampling result x is a random variable with a binomial distribution for the following reasons:
a) There is a fixed number of trials.
b) Each trial is independent of the other.
c) Each trial has a constant probability of success.
d) There are only two possible outcomes, defective or non-defective in this case.

anonymous · Answer

Thank you kropot72 for helping out.  I was thinking I had to explain with a solution.  Thanks for simplifying things for me.  I can answer the second part them.  Thank you.

anonymous · Answer

yes he is right

kropot72 · Answer

You're welcome :)