1) A basket contains 3 red and 4 green balls. If three balls are picked from the basked one after the other (in sequence independently) with replacement in between the trials, then expected mean of red balls picked can be?"

a) 1.714

b) 1.1428

c) 1.214

d) 1.312

2) "In law of variances, individual variances are always"

a) subtracted

b) added

c) multiplied

d) square root

3) A research survey with outcomes being defined as Poor, Average, Good, Excellent is a random experiment with random variable being of type"

a) Ordinal

b) Nominal

c) Continuous

d) Ratio

4) The number of products manufactured in a factory in a day are 3500 and the probability that some pieces are defected is 0.55 then the mean of binomial probability distribution is

a) 1925

b) 6364

c) 63.64

d) 3500

5) "Find the expectation of a random variable X? If X = 2, 4, 5, 6, 7, and P(X) = 0.2, 0.25, 0.3, 0.15, 0.1 respectively"

a) 11.5

b) 4.5

c) 9.5

d) 14.5

6) A survey found that one out of five Americans says he or she has visited a doctor in any given month. If 10 people are selected at random, find the probability that exactly 3 will have visited a doctor last month."

a) 0.201

b) 0.457

c) 0.896

d) 0.997

7) "If the probability that a bomb dropped from a place will strike the target is 60% and if 10 bombs are dropped, find mean and variance?"

a) "0.6, 0.24"

b) "6, 2.4"

c) "0.4, 0.16"

d) "4, 1.6"

8) "Find the variance of f(x), where f(x) = 3X+3. The probability distribution of a random variable X ; if X = 9, 11, 12, 13, 14, and P(X) = 0.2, 0.25, 0.3, 0.15, 0.1 respectively"

a) 11

b) 37.5

c) 42

d) 21.15

9) "From a lot of 12 missiles, 5 are selected at random and fired. If the lot contains 3 defective missles that will not fire, what is the probability that all 5 will fire?"

a) 0.159

b) 0.2

c) 0.1

d) 0.21

10) "Find the variance of f(x), where f(x) = 4X+4. The probability distribution of a random variable X ; if X = 7, 9, 10, 11, 12, and P(X) = 0.2, 0.25, 0.3, 0.15, 0.1 respectively"

a) 11

b) 37.5

c) 42

d) 37.6

11) Variance of a constant 'a' is

a) a

b) 0

c) 1/a

d) 1

12) Find the expectation of a random variable X? If X = 0, 1, 2, 3, and P(x) = 1/6, 2/6, 2/6, 1/6 respectively "

a) 0.5

b) 1.5

c) 2.5

d) 3.5

13) "Find the Mean of f(x), where f(x) = 3X+3. The probability distribution of a random variable X ; if X = 9, 11, 12, 13, 14, and P(X) = 0.2, 0.25, 0.3, 0.15, 0.1 respectively"

a) 11

b) 37.5

c) 42

d) 77.5

14) A small voting district has 110 female voters and 90 male voters. Arandom sampleof 10 voters is drawn. What is the probability exactly 7 of the voters will be female?

a) 0.75

b) 0.51

c) 0.224

d) 0.1665

note: ( Need answers as soon as possible)