Math Problem Statement
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random with replacement. Define the random variable as the number of defective cameras in the sample. Write the binomial probability distribution for . Round to two decimal places.
What is the expected value of ? Round to two decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Expected Value
Formulas
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
E(X) = n * p
Theorems
Binomial Probability Theorem
Suitable Grade Level
Grades 9-12
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