Quiz about Normal Distribution

Question 1

For $$X\sim N\left(\mu,\ \sigma^2\right)$$ , $$\mu$$ represents

Accepted Answer

mean

Answer

standard deviation

Answer

variance

Question 2

For $$X\sim N\left(\mu,\ \sigma^2\right)$$ , $$\sigma$$ represents

Accepted Answer

standard deviation

Answer

mean

Answer

variance

Question 3

If $$X\sim N\left(3,4\right)$$ , find $$P\left(X<3.5\right)$$

Accepted Answer

0.599

Answer

0.540

Answer

0.550

Answer

0.579

Question 4

If $$X\sim N\left(3,4\right)$$ , find $$P\left(X\ge1.5\right)$$

Accepted Answer

0.773

Answer

0.637

Answer

0.646

Answer

0.758

Question 5

If $$X\sim N\left(10,\ 3^2\right)$$ , find the value of a if $$P\left(X>a\right)=0.616$$ .

Accepted Answer

9.12

Answer

12.7

Answer

10.9

Answer

7.35

Question 6

If $$X\sim N\left(10,\ 3^2\right)$$ , find the value of a if $$P\left(9.7\ \le X

Accepted Answer

13.6

Answer

15.4

Answer

20.7

Answer

26.1

Question 7

If $$X\sim N\left(10,\ 3^2\right)$$ , find the value of a if $$P\left(a\

Accepted Answer

5.85

Answer

-2.45

Answer

11.4

Answer

14.3

Question 8

Standardisation of normal distribution is used when

Accepted Answer

mean or variance is unknown.

Answer

mean is unknown only.

Answer

variance is unknown only.

Answer

mean and variance is unknown.

Question 9

Given that $$X\sim N\left(\mu,\ 4\right)$$ , find the value of $$\mu$$ if $$P\left(X\ge6\right)=0.2$$ .

Accepted Answer

4.32

Answer

-0.733

Answer

-4.32

Answer

0.733

Normal Distribution

15 questions

Standardisation of normal distribution is used when

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