I need help with this math question
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I need help with this math question

[From: ] [author: ] [Date: 12-07-18] [Hit: ]
d. 8(.70)(.30)-I am assuming that every faculty member has the same probability of being chosen for each position. The expectation of the sum is equal to the sum of the expectations.Let X be the number of women filling one position.......
The faculty at Garland High School consists of 70% women. If an 8-person committee is selected at random to oversee homecoming festivities, what is the expected number of wmen on this commitee?

A. 80(0.70)
B. 8(0.30)
c.square root 8(.70)(.030)
d. 8(.70)(.30)

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I am assuming that every faculty member has the same probability of being chosen for each position. The expectation of the sum is equal to the sum of the expectations.

Let X be the number of women filling one position.
Let Y be the number of women on the committee.

E[X] = 0.7
E[Y] = E[8X] = 8E[X] = 8(0.7) = 5.6
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