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Problem 3. Let x be a discrete random variable with the probability distribution given in the...

Problem 3. Let x be a discrete random variable with the probability distribution given in the following table:

x = 50 100 150 200 250 300 350

p(x) = 0.05 0.10 0.25 0.15 0.15 0.20 0.10

(i) Find µ, σ 2 , and σ.

(ii) Construct a probability histogram for p(x).

(iii) What is the probability that x will fall in the interval [µ − σ, µ + σ]?

Math   Statistics-And-Probability   
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