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Probability distribution AM025

Total questions: 20

Worksheet time: 21mins

Name
Class
Date
1.

For binomial/Poisson distribution. the correct step for P(X<a)=0.4114P\left(X<a\right)=0.4114 ?

a)

1−P(X≥a+1)=0.41141-P\left(X\ge a+1\right)=0.4114

b)

1−P(X≥a)=0.41141-P\left(X\ge a\right)=0.4114

c)

P(X≥a)=0.5886P\left(X\ge a\right)=0.5886

2.

By using approximation, correct continuity correction for P(X<20)P\left(X<20\right)

a)

P(X≤19.5)P\left(X\le19.5\right)

b)

P(X≤20.5)P\left(X\le20.5\right)

3.

Correct continuity correction for P(X>13)P\left(X>13\right) ?

a)

P(X≥13.5)P\left(X\ge13.5\right)

b)

P(X≥12.5)P\left(X\ge12.5\right)

4.

X∼B(20,0.3)X\sim B\left(20,0.3\right) . Correct step to find P(X≤k)=0.7P\left(X\le k\right)=0.7 .

a)

P(X≥k+1)=0.3P\left(X\ge k+1\right)=0.3

b)

P(X≥k)=0.3P\left(X\ge k\right)=0.3

5.

in normal distribution. What is the probability between 230 and 255 seconds?

a)

P(230<X<255)P\left(230<X<255\right)

b)

P(230≤X≤255)P\left(230\le X\le255\right)

c)

P(230>X>255)P\left(230>X>255\right)

d)

P(230≤X<255)P\left(230\le X<255\right)

6.

What is the probability greater than 255.

a)

P(X>255)P\left(X>255\right)

b)

P(X≤255)P\left(X\le255\right)

c)

P(X≥255)P\left(X\ge255\right)

d)

P(X<255)P\left(X<255\right)

7.

Given z = 1.85, how to find the probability (shaded area)?

a)

1−P(Z>1.85)1-P\left(Z>1.85\right)

b)

P(Z>1.85)P\left(Z>1.85\right)

8.

Find the area of the shaded region given z = -2.1

a)

1−P(Z>2.1)1-P\left(Z>2.1\right)

b)

P(Z>−2.1)P\left(Z>-2.1\right)

c)

P(Z>2.1)P\left(Z>2.1\right)

9.

Find the area of the shaded region given z = -0.86

a)

0.1765

b)

0.2315

c)

0.1949

d)

0.8051

10.

Find the area of the shaded region given z = -0.48

a)

P(X>0.48)P\left(X>0.48\right)

b)

1−P(X>0.48)1-P\left(X>0.48\right)

11.

Use statistical table find the area, given z = 0.5

a)

0.3085

b)

0.6915

c)

0.7138

d)

0.5918

12.

Find P(−1.32<Z<0.9)P\left(-1.32<Z<0.9\right) ?
Choose 2 correct answer.

a)

1−P(Z>0.9)−P(Z>1.32)1-P\left(Z>0.9\right)-P\left(Z>1.32\right)

b)

P(Z>0.9)−P(Z>1.32)P\left(Z>0.9\right)-P\left(Z>1.32\right)

c)

0.9093

d)

0.7225

13.

What is the value of s?

a)

1.00

b)

0.30

c)

0.21

d)

0.09

14.

Which type of probability distribution does Statement 2 satisfied?

a)

Poisson

b)

Normal

c)

Binomial

d)

Continuous

15.

In normal distribution, P(X<m)=0.993P\left(X<m\right)=0.993 . Choose the correct area.

a)

b)

c)

d)

16.

In normal distribution, P(X>m)=0.6P\left(X>m\right)=0.6 . Choose the correct area.

a)

b)

c)

d)

17.

In normal distribution, P(X<m)=0.35P\left(X<m\right)=0.35 . Choose the correct area.

a)

b)

c)

d)

18.

In normal distribution, P(X>m)=0.45P\left(X>m\right)=0.45 . Choose the correct area.

a)

b)

c)

d)

19.

In normal distribution, P(X>m)=0.05P\left(X>m\right)=0.05 . Choose the correct area.

a)

b)

c)

d)

20.

In normal distribution, P(X>m)=0.905P\left(X>m\right)=0.905 . Choose the correct area.

a)

b)

c)

d)