SOLUTION: I am at a complete loss as to how to complete the following table. I have looked through my textbook, which is a cut and paste edition my professor made, and I do not see this form

Algebra ->  Probability-and-statistics -> SOLUTION: I am at a complete loss as to how to complete the following table. I have looked through my textbook, which is a cut and paste edition my professor made, and I do not see this form      Log On


   

Question 1145326: I am at a complete loss as to how to complete the following table. I have looked through my textbook, which is a cut and paste edition my professor made, and I do not see this formula anywhere. I can assume it is something very easy, but my mind just can not figure it out. Thanks in advance for your assistance.
Suppose the proportion of a certain camera which are defective is 0.075. A sample of 4 cameras is selected at random. Define the random variable x as the number of defective cameras in the sample.
Write the probability distribution for x. Round each entry to five decimal places exactly.
k P(x=k)
0
1
2
3
4
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


This is a straightforward application of binomial probability. The probability that a particular camera is faulty is 0.075, so the probability that it is not defective is 0.925.

You won't learn anything by having us do the calculations for you, so I leave that to you. Here is what you need

P%28x=0%29+=+%284C0%29%2A%280.075%29%5E0%2A%280.925%29%5E4

P%28x=1%29+=+%284C1%29%2A%280.075%29%5E1%2A%280.925%29%5E3

P%28x=2%29+=+%284C2%29%2A%280.075%29%5E2%2A%280.925%29%5E2

P%28x=3%29+=+%284C3%29%2A%280.075%29%5E3%2A%280.925%29%5E1

P%28x=4%29+=+%284C4%29%2A%280.075%29%5E4%2A%280.925%29%5E0

To check your calculations you can verify that the sum of those probabilities is equal to 1.