1. Consider a binomial random variable Xwith n =5and p = 0.40.
2. Find the probability distribution of X.
3. Find P (X < 3).
4. Find P(2X4).
5. Find the mean and the variance of X.2+=2=2< coefficient.

Y= statistic the coefficeinet janna Canadian . k

1. Compute the following Poisson probabilities (to 4 decimal places) using the formula:
2. P(X =3), if = 2.5
3. P(X 1), if = 2.0
4. P(X 2), if = 3.0

1. An official from the securities commission estimates that 75% of all investment bankers have profited from the use of insider information. If 15 investment bankers are selected at random from the commission's registry, find the probability that:
2. at most 10 have profited from insider information.
3. at least 6 have profited from insider information.
4. all 15 have profited from insider information.

1. An advertising executive receives an average of 10 telephone calls each afternoon between 2 and 4 P.M. The calls occur randomly and independently of one another.
2. Find the probability that the executive will receive 13 calls between 2 and 4 P.M. on a particular afternoon.
3. Find the probability that the executive will receive seven calls between 2 and 3 P.M. on a particular afternoon.
4. Find the probability that the executive will receive at least five calls between 2 and 4 P.M. on a particular afternoon.

1. The probability distribution of a random variable X is shown below.

x	-4	0	4	8
p(x)	0.15	0.25	0.20	0.40

1. Find the following probabilities:
2. P(X 0)
3. P(X > 3)
4. P(0 X 4)
5. P(X = 5)

1. i. Find E(X).
2. Find V(X).

1. Find the expected value of Y = - 2X +1

d. i. Find E(3X-4).

ii. Find V(3X-4).