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Worksheets

Revision AM025

Total questions: 20

Worksheet time: 26mins

Name
Class
Date
1.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is blue

a)

12\frac{1}{2}  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

14\frac{1}{4}  

2.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
3.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
4.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?

a)

8121\frac{8}{121}

b)

411\frac{4}{11}

c)

211\frac{2}{11}

d)

4121\frac{4}{121}

5.

A box has 3 limes, 5 grapes, and 2 oranges. Find P(NOT lime).

a)

310\frac{3}{10}

b)

12\frac{1}{2}

c)

710\frac{7}{10}

d)

15\frac{1}{5}

6.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
7.

The random variable, X has the binomial distribution X~B(9,0.25), find P(X=4)

a)

0.1657

b)

0.1168

c)

0.2336

d)

0.3504

8.

The random variable T has binomial distribution T~(40,0.5). Find P(T≤12)

a)

0.0032

b)

0.0051

c)

0.9968

d)

0.0083

9.

A ball manufacturer claims that only 15% of his balls are defective. If Ali has 6 of these balls to play with at a ball game, find the probability at most 4 balls will be defective.

a)

0.9941

b)

0.0059

c)

0.9996

d)

0.9527

10.

If X~Po(1.8), find P(2≤X≤4)

a)

0.4285

b)

0.7983

c)

0.5008

d)

0.7260

11.

Salmi expected to receive 4 emails in a week. Find the probability of receiving 8 emails for the next 2 weeks.

a)

0.0511

b)

0.0297

c)

0.5470

d)

0.1395

12.

If X~B(600, 0.2), find variance.

a)

96

b)

97

c)

120

d)

130

13.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

14.

Let  XB(n,p)X\sim B\left(n,p\right)  ,which is true to find  P(7X<13)P\left(7\le X<13\right)  ?

a)

P(X7)P(X12)P\left(X\ge7\right)-P\left(X\ge12\right)  

b)

P(X6)P(X12)P\left(X\ge6\right)-P\left(X\ge12\right)  

c)

P(X7)P(X13)P\left(X\ge7\right)-P\left(X\ge13\right)  

d)

P(X7)P(X14)P\left(X\ge7\right)-P\left(X\ge14\right)  

15.

Choose the correct sign

'probability from 4 to 9'

a)

P(4<X<9)

b)

P(4<X≤9)

c)

P(4≤X≤9)

d)

P(4≤X<9)

16.

Describe a correlation with a coefficient of r=-0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

17.

A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. What is the coefficient of determination?

a)

0.834

b)

0.887

c)

0.457

d)

0.913

18.

If the coefficient determination is .945. What does that tell you about the data?

a)

About 94.5% variation can be explained by the relationship between x and y.

b)

About 5.5% variation can be explained by the relationship between x and y.

c)

About .5% variation cannot be explained by the relationship between x and y.

d)

About 94.5% variation cannot be explained by the relationship between x and y.

19.
Find P (-1.26 < z < 3.25). 
a)
0.0047
b)
0.9204
c)
0.8956
d)
0.4981
20.

P(z>a)=0.3516, a=...P\left(z>a\right)=0.3516,\ a=...  

a)

0.381

b)

0.48

c)

0.581