IDNLearn.com provides a seamless experience for finding and sharing answers. Discover the reliable solutions you need with help from our comprehensive and accurate Q&A platform.
1. Probability distribution:
P(X = 0) = (2/6) * (2/6) = 4/36 = 1/9
P(X = 1) = (4/6) * (2/6) + (2/6) * (4/6) = 16/36 = 4/9
P(X = 2) = (4/6) * (4/6) = 16/36 = 4/9
2. Expected value calculation:
E(X) = 0 * P(X=0) + 1 * P(X=1) + 2 * P(X=2)
= 0 * (1/9) + 1 * (4/9) + 2 * (4/9)
= 0 + 4/9 + 8/9
= 12/9
= 4/3
Therefore, the expected value of X is 4/3 or approximately 1.33 defective cameras in the sample.