1. A couple decided to have 3 children B or G, the Probability of a B P(B) = and P(G) =

Find the Probability that they have "At least one" Girl?

1. A dice is rolled 3 times, find the probability of getting "At least one" 6?
2. In the Georgia Fantasy 5 lottery, balls are numbered from 1 to 39, and 5 balls are drawn randomly. To win the lotto you must mark 5 numbers from 1 to 39 on a ticket and your number must match the number on the 5 balls. What is the probability that you win?
3. If an operation can be performed in m ways, and a second operation can be performed in n ways. Then the total number of ways to perform the sequence of 2 operations is.
4. The number of permutation of 6 objects is

Compute

1. 9! 6! 4! 0! 1!
2. ₇P_{3 8}P_{1 35}P_{2 5}P_{3 20}P_{0 45}P_{5 8}P₈
3. ₉C_{5 3}C_{3 15}C_{0 25}C_{5 50}C_{50 7}C₁

Define Binomial RDV X, what is the requirement for a Binomial Distribution of a DRV X, Binomial Probabilities of RDV X are computed by

P(X) = _nC_x(p)^x(q)^n-x

Do the W given in class on the board. On Binomial probabilities

Define the term Poisson distribution of a RDV?

Under what conditions can you use Poisson distribution? What is so special about Poisson distribution?

Can we use Poisson distribution for tossing a coin or rolling a dice or a lotto trial?

Fond the Poisson Probability and compute the me an muX and the standard deviation of the followings

Lambda L = 2 t= 5 Find P(5) and mux and Std. DevX ?

L= 0.5 t= 4 find P(4) and muX and Std DevX ?

L= 0.1 t= 10 find P( 2) and muX and Std. DevX ?

L = 1 t= 2 Find P(0) and muX and Std. DevX ?

L= 0.3 t= 8 find P( at least one) find mux and Std.devX?

L=0.3 t= 5 find P( fewer than 5) find muX and Std.DevX?