1.- What value of k will make the following a probability distribution function x | 1 | 3 | 7 | 8 | 10 P(x) | k | 0.3 | 0.1 | 0.2 | 0.1 2.- What value of k will make the following a probability distribution function x | 0 | 1 | 2 | 3 | 4 P(x) | k | k | k | k | k
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Step 1
For a probability distribution function, the sum of all probabilities must equal 1. So, we have: $$ k(0.3 + 0.1 + 0.2 + 0.1) = 1 $$ Now, we can solve for k: $$ k(0.7) = 1 \\ k = \frac{1}{0.7} \\ k = \boxed{1.43} $$ Show more…
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