Find the value of k, P(X < 3), cumulative distribution function, mean, variance and standard deviation of the discrete random variable (X) with the following probability distribution. X 0 1 2 3 4 5 6 7 8 p(x) k 3k 5k 7k 9k 11k 13k 15k 17k
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Step 1: Find the value of k Since the sum of all probabilities in a probability distribution is equal to 1, we can write the equation: 5k + 3k + 5k + 7k + 9k + 13k + 15k + 17k = 1 Now, we can solve for k: (5 + 3 + 5 + 7 + 9 + 13 + 15 + 17)k = 1 (74)k = 1 k = 1/74 Show more…
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