# Find the probability distribution of boys and girls in families with 3 children.

## Find the probability distribution of boys and girls in families with 3 children.

Find the probability distribution of boys and girls in families with 3 children. Assume equal probabilities for boys and girls.

Calculate the CDF
The CDF of a random variable x is given by the equation f(x) = 1- e^-2x for x>= 0

And f(x) = 0 for x < 0

Find the PDF f(x) for x>=0
Find the probability that x>=2
Find the probability that -3<x<=4
The joint probability function of two discrete random variable x and Y is given by f(x,y) = C(2x+y) where C is a constant and x and y are integers in the range 0 <= x <=2 and 0 <= y <=3

Find the value of C
Find (Px>=1, Y<=2)
Two fair dice are tossed simultaneously. The probability to roll any of the integers 1 to 6 is

P(x) = p(Y) = 1/6

Calculate expectation E(X=Y)
Variance Var(x+y)
Covariance Cov(X,Y)
The variance of the lifetimes of 200 electric light bulbs was 10,000 hours

95 percent confidence limits for the standard deviation. X_0.975 = 15.5 and X_0.025 = 12.7 for 199 degrees

Estimate how large a sample of light bulbs we need to consider in order that we are 99.73percent confident that the sample’s standard deviation will not differ from the population’s standard deviation by more than 10 percent.

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