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Find the mean and standard deviation of number of movies

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Reference no: EM131744883

Question - Six Degrees of Kevin Bacon The actor Kevin Bacon has been in so many movies that almost everyone in Hollywood can be connected to him within six degrees. Let n 5 1,326,359, the number of actors linked to Kevin Bacon. The probability distribution for the Bacon Number of a randomly selected Hollywood personality is given in the following table.

x

p(x)

x

p(x)

x

p(x)

0

1/n

1

2511/n

2

262,544/n

3

839,562/n

4

204,764/n

5

15,344/n

6

1397/n

7

204/n

8

32/n

a. Find the mean, variance, and standard deviation for the Bacon Number.

b. Find P(X ≥ μ - σ).

c. The number of movies, Y, in which a Hollywood personality has appeared is related to the Bacon Number by the formula Y = 2X + 5. Find the mean, variance, and standard deviation of the number of movies in which a Hollywood personality has appeared.

Reference no: EM131744883

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