1.

In a series of 4 trials, the probability of getting two successes is equal to the probability of getting three successes. The probability of getting at least one success is:

• \(\frac{609}{625}\)
• \(\frac{16}{625}\)
• \(\frac{513}{625}\)
• \(\frac{112}{625}\)

2.

The correct solution of \(-22 < 8x - 6 \leq 26\) is the interval:

• \([-2, 4]\)
• \((-2, 4]\)
• \((-2, 4)\)
• \([-2, 4)\)

3.

Match List-I with List-II.

List-I	List-II
(A) Confidence level	(I) Percentage of all possible samples that can be expected to include the true population parameter
(B) Significance level	(III) The probability of making a wrong decision when the null hypothesis is true
(C) Confidence interval	(II) Range that could be expected to contain the population parameter of interest
(D) Standard error	(IV) The standard deviation of the sampling distribution of a statistic

Choose the correct answer from the options given below:

• (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
• (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
• (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
• (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

4.

A sample size of \(x\) is considered to be sufficient to hold the Central Limit Theorem (CLT). The value of \(x\) should be:

• less than 20
• greater than or equal to 30
• less than 30
• sample size does not affect the CLT

5.

Formaldehyde undergoes Cannizzaro reaction because
(A) It has alpha-hydrogen atom.
(B) It does not have alpha-hydrogen atom.
(C) It does not undergo self-oxidation and reduction on heating with concentrated alkali.
(D) It undergoes self-oxidation and reduction on heating with concentrated alkali.

• (A) It has alpha-hydrogen atom
• (B) It does not have alpha-hydrogen atom
• (C) It does not undergo self-oxidation and reduction on heating with concentrated alkali
• (D) It undergoes self-oxidation and reduction on heating with concentrated alkali

6.

Which option figure will complete the pattern in the given figure?