STA301 Midterm Past Paper 3

Q1. of 10 ( Start time: 12:11:21 AM ) Total Marks: 1

Let X be a random variable with binomial distribution, that is (X=0,1,…, n). The expected value E[X] is

p np np(1-p) Xnp

Q2. of 10 ( Start time: 12:12:17 AM ) Total Marks: 1

The sample mean is an unbiased estimator for the population mean. This means:

The sample mean has a normal distribution The average sample mean, over all possible samples, equals the population mean The sample mean is always very close to the population mean The sample mean will only vary a little from the population mean

Q3. of 10 ( Start time: 12:13:17 AM ) Total Marks: 1 Probability of an impossible event is always:

Less than one Greater than one Between one and zero Zero

Q4. of 10 ( Start time: 12:13:48 AM ) Total Marks: 1

The function abbreviated to d.f. is also called the......

Probability density function Probability distribution function Commutative distribution function Discrete function

Q5. of 10 ( Start time: 12:14:50 AM ) Total Marks: 1

The total area under the normal curve is:

1. 5
2. 75

Q6. of 10 ( Start time: 12:15:12 AM ) Total Marks: 1

Two events A & B are said to be independent if....

P (A) + P (B) P (B\A) = P (B) P (A) * P (B) P (A\B) = P (A)

Q7. of 10 ( Start time: 12:15:31 AM ) Total Marks: 1

When two coins are tossed the probability of at most one head is:

Q8. of 10 ( Start time: 12:16:33 AM ) Total Marks: 1

For exhaustive events, the P(AUBUC) is equal to:

P(A) P(S) P(A) * P(B)* P(C) P(B)

Q9. of 10 ( Start time: 12:17:46 AM ) Total Marks: 1

One card is drawn from a standard 52 card deck. In describing the occurrence of two possible events, an Ace and a King, these two events are said to be: