STA301 Final Term MCQs 2026 by Ali Khan

Q1. In a bivariate probability distribution of X and Y,

If f(0,1)=3/14, g(0)=5/14 and h(1)=3/7,

then

A. Both of these B. X and Y are statistically independent

C. X and Y are not statistically independent

D. None of these

Q2. A random sample of n = 6 has the elements 6, 10,13,14,18 and 20. What is the point estimate of the population mean?

1. 11.5
2. 12
3. 13.5
4. 11

Correct answer: 13.5

Q3. In a binomial experiment ,probability of success changes on:

1. 10th trial
2. Second trial
3. Each trial
4. 30th trial

Correct answer: Each trial

Q4. The mean of the continuous probability function f(x) can be obtained by

1. Integrating the x
2. Integrating the product xf(x)
3. Multiplying the x by its function f(x)
4. Integrating the function f(x)

Correct answer: Integrating the product xf(x)

Q5. We can obtain the individual probabilities of x and y from the joint probability function/distribution of

1. Marginal probabilities
2. Separate probabilities
3. Independent probabilities
4. Bivariate probabilities

Correct answer: Marginal probabilities

Q6. Which of the following statements is not an example of a continuous random variable?

1. The time to failure for an electronic system
2. The weight gain in pounds per month for a calf
3. The price for cheese cake in New York Style cheese cake
4. The time it takes you to finish this statistics test

Correct answer: The price for cheese cake in New York Style cheese cake

Q7. Which of the following is not true statement for the hypergeometric distribution?

1. Trials are dependent
2. A constant probability of success
3. A fixed number of trials
4. Only two possible outcomes

Correct answer: A constant probability of success

Q8. Let the random variable Z have the standard normal distribution. P (Z > 1.96) is:

1. 0.1334
2. 0.3210
3. 0.0250
4. 0.4750

Correct answer: 0.0250

Q9. If a random variable X denotes the number of heads when we toss a fair coin 5 times, the X assumed the values:

1. 0, 1, 2,3,4,5
2. 1, 5, 5
3. 0,1,2,3
4. 1, 2,3,4,5

Correct answer: 0, 1, 2,3,4,5

Q10. If the first moment ratio is equal to 0, then the distribution will be:

1. Symmetrical
2. Positively Skewed
3. Leptokurtic
4. Negatively Skewed

Correct answer: Symmetrical

Q1. Which of the following is not true statement for the hypergeometric distribution?

1. A constant probability of success
2. Only two possible outcomes
3. Trials are dependent
4. A fixed number of trials

Correct answer: A constant probability of success

Q2. In sampling from a large population with б = 35, the standard error of the mean is found to be 4. The size of the sample used is:

1. 77
2. 56
3. 25
4. 15

Correct answer: 77

Q3. What condition is required before the central limit theorem justifies approximating the sampling distribution of the mean with a normal distribution?

1. n > 30
2. n < 30
3. n(1 - p) > 5
4. 20n < N

Correct answer: n > 30

Q4. Integrating the product of x and f(x) from range

–∞ to +∞ give us the

A. First moment about origin

B. Cumulative probability of x C. First moment about mean D. Total probability of x

Q5. A statistic whose standard deviation decreases with an increase in sample size will be called:

1. Unbiased
2. Consistent
3. Sufficient
4. Efficient

Correct answer: Consistent

Q6. If X and Y are independent, then Cov (X, Y) is equal to:

1. 1
2. None
3. 0 and 1
4. 0

Correct answer: 0