A 8 man council comprise of 5 ladies, including Margaret, and 3 men, including Anthony. On the off chance that a subcommittee of 3 individuals is to be picked indiscriminately to assess another venture. The subcommittee needs to incorporate in any event 1 ladies, yet can't comprise completely of ladies.

(g) what number various subcommittees incorporate at any rate one of Anthony or Margaret? (Clue: Make sure that you don't tally a board more than once)

(h) What is the likelihood that at any rate one of Anthony or Margaret are in the subcommittee?

Allow X to mean the voltage at the yield of a mouthpiece, and assume that X has a uniform appropriation on the span from 1 to 1. The voltage is handled by a "hard limiter" with cutoff esteems 0.5 and 0.5, so the limiter yield is an irregular variable Y identified with X by Y = X if |X| 0.5, Y = 0.5 if X > 0.5, and Y = 0.5 if X < 0.5.

(a) What is P(Y = 0.5)? (Answer isn't 0.)

(b) Obtain the total dispersion capacity of Y. (Need the part for - 0.5 <= y < 0.5, and we definitely realize that F(y < - 0.5) = 0 and F(y >= 0.5) > 1.)

If it's not too much trouble, show your work, much appreciated!

A 8 man advisory group comprise of 5 ladies, including Margaret, and 3 men, including Anthony. On the off chance that a subcommittee of 3 individuals is to be picked indiscriminately to assess another task. The subcommittee needs to incorporate at any rate 1 ladies, yet can't comprise totally of ladies.

(d) what number subcommittees which incorporate Anthony can be chosen?

(e) What is the likelihood that Anthony is remembered for the subcommittee

(f) what number various subcommittees incorporate Margaret?

A 8 man council comprise of 5 ladies, including Margaret, and 3 men, including Anthony. On the off chance that a subcommittee of 3 individuals is to be picked indiscriminately to assess another venture. The subcommittee needs to incorporate in any event 1 ladies, yet can't comprise altogether of ladies.

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(a) what number ways are there to choose a subcommittee which comprise of 1 man and 2 ladies?

(b) what number ways are there to choose a subcommittee which comprise of 2 man and 1 ladies?

(c) what number subcommittees fulfilling the conditions can be chosen?

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