f. Exact costs of presidential campaigns probability distribution is given. Ifa

Question

f. Exact costs of presidential campaigns probability distribution is given. Ifa probability distribution is given, find its mean and standard deviation. Ifa probability distribution is not given, identify the require ments that are not satisfied. 7. Genetic Disorder Four males with an X-linked genetic disorderx have one child each. The random variable x is the number of chil- dren among the four who inherit the X-linked genetic disorder. P (x) 0.0625 0.2500 0.3750 0.2500 0.0625 2 8. Male Color Blindness When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data fronm the National Institutes of Health) P(x) 0.659 0.287 0.050 0.004 0.001 9. Pickup Line Ted is not particularly creative. He uses this pickupP line: "IfI could rearrange the alphabet, I'd put U and I togeter" P(x)

Explanation / Answer

7) Total sum of all probability = 1

So, this is valid probability distribution

Mean, E(X) = 0 * 0.0625 + 1 * 0.25 + 2 * 0.375 + 3 * 0.25 + 4 * 0.0625 = 2

E(X2) = 02 * 0.0625 + 12 * 0.25 + 22 * 0.375 + 32 * 0.25 + 42 * 0.0625 = 5

Var(X) = E(X2) - (E(X))2 = 5 - 22 = 1

standard deviation = sqrt(1) = 1

8) total sum of all probability = 1.001

Since total is not equal to one, this is not a valid distribution

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