Question: Examine the following probability distribution: a. Calculate the expected value and standard deviation for this random variable. b. Denote the expected value as . Calculate

Examine the following probability distribution:
Examine the following probability distribution:a. Calculate the expected value and

a. Calculate the expected value and standard deviation for this random variable.
b. Denote the expected value as μ. Calculate μ €“ σ and μ + σ.
c. Determine the proportion of the distribution that is contained within the interval μ ± σ.
d. Repeat part c for (1) μ ± 2σ and (2) μ ± 3σ.

x 55 20 25 30 35 40 45 50 Px) 0.0 0.05 0.14 0.20 0.30 0.15 0.05 004 0.01 0.05

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