List of top Statistical Science Questions on Probability

A group consists of 9 students from 3 disciplines. Out of the 9 students, 4 are from Statistics, 3 are from Economics and 2 are from Chemistry. Three students are selected randomly. What is the probability that, out of the selected students 2 are from Statistics?
A problem in Statistics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them tried independently?
Which one of the following probability mass function is impossible?
The average of the 7 numbers 7, 9, 12, x, 5, 4, 11 is 9. The missing number is
If $Y$ is a random variable with variance 9, then Variance of $3Y - 9$ is
Which of the following design(s) is/are advocated when experimental units are homogeneous?
Number of grains per panicle is a
The variance of sample mean of a sample of size $n$ from a population with $N$ units under SRSWOR is
A two-independent sample t-test statistic based on sample sizes 15 and 18 with equal population variances follows
The range of correlation coefficient is
Addition of two binary numbers 11 and 01 gives the binary number
LAN stands for
Internet Explorer is
Any C program
Which of the following languages is case sensitive?

If \(P(A) = \frac{1}{2}\), \(P(B) = \frac{1}{3}\), and \(P(A \cap B) = \frac{1}{6}\), then \(P(A \cup B)\) is: 

A, B, and C are three mutually exclusive and exhaustive events associated with a random experiment. Also, \(P(B) = \frac{3}{2}P(A)\) and \(P(C) = \frac{1}{2}P(B)\), then \(P(A)\) is: 

If the mean and variance of a binomial distribution are 10 and 5 respectively, then the value of \(p\) is:
If A and B are independent events, then:
X speaks truth 4 out of 5 times. A die is tossed and X reports it to be 6. The probability that there was actually 6 is:
If A and B are mutually exclusive events, then:
If A and B are two events, then \(P(A|B)\) is:
If \(X\) follows a uniform distribution on \([0, 1]\), then the variance of \(X\) is:
Which of the following is the experimental condition in case of binomial distribution?
Let \(X\) follows a binomial \((n, p)\) distribution, the skewness of the distribution will be zero if: