List of top Questions asked in CPET- 2025

If the mean deviation of a distribution is 20.20, the standard deviation of this distribution is :

Year-wise production of rice, wheat and maize for the last ten years can be displayed by:

The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. What is the 95% confidence interval about the slope of the true least-squares regression line, for the data given below?

The following frequency distribution is known as:

Classes	Frequency
0 - 10	3
0 - 20	8
0 - 30	14
0 - 40	20
0 - 50	25

A marketing research company needs to estimate which of two medical plans its employees prefer. A random sample of \(n\) employees produced the following 98% confidence interval for the proportion of employees who prefer plan A: \((0.241, 0.561)\). What is a good point estimate for estimating the true proportion of employees who prefer that plan?

Which can be the median among quartile, decile and percentile?

Two samples are randomly selected from each population. The sample statistics are given below:

Use \(\alpha = 0.05\). \(n_1 = 50, \bar{x}_1 = 21, s_1 = 1.5\) and \(n_2 = 60, \bar{x}_2 = 19, s_2 = 1.9\).

What is the standardized test statistic to test the hypothesis that \(\mu_1 = \mu_2\)?

Let X and Y be i.i.d. binomial random variables with parameters n and 0.5 and let Z be another binomial random variable with parameters 2n and 0.5. Then, \(P(X = Y)\) equals to:

If \(X_1\) and \(X_2\) are two independent random variables having identical N(0, 1) distribution, then \(P(X_1^2 + X_2^2 \le 2)\) equals:

Let \(X\) and \(Y\) be independently distributed Poisson random variables such that \(P[X=1]=P[X=2]\), \(P[Y=3]=P[Y=4]\). Then the variance of \((2X-Y)\) is:

What is the probability of getting seventh head in the tenth toss of an unbiased coin?

A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club President would like to know how many members regularly use each facility. A survey of the membership indicates that 61% regularly use the golf course, 45% regularly use the tennis courts, and 3% use neither of these facilities regularly. What percentage of the 600 uses at least one of the golf or tennis facilities?

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 493 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed.

Which of the following units of measurement does not measure a continuous variable?

The mean GPA for all students in Statistics at a certain college in the odd semester was 2.77. A student with a GPA of 2.0 wants to know her relative standing relation to the mean GPA. A numerical summary that would be useful for this purpose is the:

A variable that interferes with other variables in the study is called:

The random variable \(X\) represents the number of girls in a family of three children. Assuming that boys and girls are equally likely, what are the mean and standard deviation for the random variable \(X\)?

For a normal distribution variance of mean V(Mean) and variance of median V(Median), which of the following is true?

In a university, 50% of the students choose a movie, 30% choose dinner and a play, and 20% choose shopping as a leisure activity. If a sample of 5 students is randomly selected, what is the probability that 3 are planning to go to a movie, 1 to a play, and 1 to a shopping mall?

A cold drinks bottling plant produces 1% defective bottles. The probability that there will be no defective in a lot of 100 bottles is nearest to:

Three functions \(F_1(x)\), \(F_2(x)\) and \(F_3(x)\) are defined below:

(i) \(F_1(x) = 0\), for all \(x \in (-\infty, +\infty)\)
(ii) \(F_2(x) = 1\), for all \(x \in (-\infty, +\infty)\)
(iii) \(F_3(x) = 0\), for all \(x \le 0\) and \(F_3(x) = 1\), for all \(x > 0\)

Which of the above functions is a distribution function of a random variable?

If a random variable \(X\) has mean 3 and standard deviation 5, then the variance of \(Y = 2X - 5\) is:

Three numbers \(X\), \(Y\), \(Z\) are randomly drawn from the set \(\{1, 2, 3, 4\}\). \(E(XYZ)\) is equal to:

For a uniform distribution in the range \([0, k]\), the mean and the variance are equal if:

If \(P(A) = 0.25\), \(P(B|A) = 0.5\), \(P(B|\bar{A}) = 0.75\) then \(P(A|B)\) is ______.