Free Printable PRE PSPM AM025

1.

What is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

$\frac{8}{26}$

b)

$\frac{4}{13}$

c)

$\frac{8}{25}$

d)

$\frac{1}{3}$

2.

A die is rolled. What is the probability that the result is less than 3 ?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{6}$

3.

Probability is

a)

from 0 to 100

b)

between 5 and 10

c)

from 0 to 1

d)

between 0 and 1

4.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

$\frac{2}{7}$

b)

$\frac{5}{49}$

c)

$\frac{5}{7}$

d)

$\frac{10}{49}$

5.

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

a)

$\frac{8}{121}$

b)

$\frac{4}{11}$

c)

$\frac{2}{11}$

d)

$\frac{4}{121}$

6.

What is the probability of choosing a Honda?

a)

0.5970

b)

0.5373

c)

0.4627

d)

0.4030

7.

What is the probability that the person picked will be a boy given they speak German?

a)

0.7273

b)

0.4543

c)

0.1621

d)

0.2222

8.

find the probability of choosing a student at random that plays an instrument OR a sport

a)

$\frac{1}{2}$

b)

$\frac{13}{20}$

c)

$\frac{21}{20}$

d)

$\frac{4}{5}$

9.

What statement does the shaded region represent?

a)

A or B

b)

A and not B

c)

Not A

d)

Not A or B

10.

Mary is a good student. The probability that she studies and passes her test is $\frac{3}{5}$ . If the probability that she studies is $\frac{8}{9}$ . What is the probability that she passes given that she studies?

a)

$\frac{27}{40}$

b)

1.48

c)

0.008

d)

0.0593

11.

The probability of A is given P(A) = 0.4 and the probability of B is given P(B)=0.25. If the Probability of the intersection (A AND B) is 0.13, Find the probability of choosing A OR B. Hint - use the addition rule!

a)

0.5

b)

0.78

c)

0.13

d)

0.52

12.

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

a)

0.0267

b)

37.5

c)

0.02

d)

0.3333

13.

The random variable Y has binomial distribution $Y\sim B(10,0.4)$ . Find $P(3<Y<6)$ . Give your answer to 4 decimal places.

(a)

14.

If $X\sim Po(1.8)$ , find $P(2\le X\le4)$ . Give your answer to 4 decimal places.

(a)

15.

A shop sells radios at a rate of 2.5 per week.

Find the probability that in a two-week period the shop sells at least 7 radios.

Give your answer to 4 decimal places.

(a)

16.

An algebra test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

17.

The probability that a school bus will be late to school is 0.15. Find the probability that in 5 school’s days, the bus will be late

(a) exactly 2 days, (b) at least once.

a)

(a) 0.1382 ; (b) 0.5563

b)

(a) 0.2372 ; (b) 0.5663

c)

(a) 0.1352 ; (b) 0.4563

d)

(a) 0.2682 ; (b) 0.4593

18.

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

19.

If X~Po(λ) and P(X=0) = 0.0025, find λ.

a)

5

b)

0

c)

4

d)

6

20.

Assuming that breakdowns in electricity supply occur ramdomly with mean of one breakdown every 10 weeks. Find the probability of at least 2 breakdowns in any period of one week

a)

0.0047

b)

0.9953

c)

0.0002

d)

0.0045

21.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 68?

a)

420.65

b)

12

c)

421

d)

250

22.

Assuming that a normal distribution is a reasonable approximation for a binomial distribution, what value is used to approximate the standard deviation?

a)

$npq$

b)

$np$

c)

$\sqrt[]{np}$

d)

$\sqrt[]{npq}$

23.

Find a if $P(Z<a)=0.35.$

a)

- 0.3632

b)

0.3853

c)

- 0.3853

d)

0.6368

24.

Find the value of m if $P\left(\left|Z\right|<m\right)=0.8$ .

a)

1.0364

b)

1.2816

c)

1.6449

d)

0.4602

25.

Perform continuity correction for $P(X\ge4)$

a)

$P(X=4.5)$

b)

$P(X>5.5)$

c)

$P\left(X\ge3.5\right)$

d)

$P(X>4.5)$

26.

Perform continuity correction for at most 20

a)

$P(X>20.5)$

b)

$P\left(X\le20.5\right)$

c)

$P(X>19.5)$

d)

$P(X<19.5)$

27.

30% of all cats in a city are micro-chipped. In a sample of 500 cats, what is the probability that less than 140 cats are micro-chipped? Select the closest option.

a)

0.25

b)

0.21

c)

0.17

d)

0.13

28.

The marks obtained by the students are normally distributed with mean 61 marks and variance 100 marks. Find the probability of the students obtain at least 85 marks.

a)

0.4207

b)

0.0082

c)

0.1112

d)

0.9918

29.

The height of students is normally distributed with mean 145 and variance 25. Find $k$ if $P\left(X\le k\right)=0.9582$

a)

153.15

b)

154.65

c)

155.65

d)

149.79

30.

In a research, 30% of heavy smokers are suffering from lung cancer. If 240 heavy smokers are chosen at random, find the probability that 70 to 91 are suffering from lung cancer.

a)

0.3632

b)

0.6338

c)

0.00298

d)

0.36022

31.

A researcher wants to investigate the relationship between monthly income and monthly expenditure of Puncak Bestari Enterprise for 10 months. Find the value of $\Sigma xy$ in 2 decimal places.

(a)

32.

A survey shows that there is a linear relationship between the number of sets of exercise (x) they do in an intensive class and the marks (y) obtained in a test. The summary of information for a sample of 10 students is given below.

$\sum_{ }^{ }x=55,\sum_{ }^{ }𝑥^2=385,\sum_{ }^{ }𝑦^2=52868,\sum_{ }^{ }𝑦=726\sum_{ }^{ }𝑥𝑦=4102$

Interpret the coefficient of correlation.

a)

Moderate positive linear relation between number of sets of exercise and marks obtained

b)

Strong negative linear relation between number of sets of exercise and marks obtained

c)

Strong positive linear relation between number of sets of exercise and marks obtained

d)

Weak positive linear relation between number of sets of exercise and marks obtained

33.

The linear regression equation is y = 61.93x - 1.79. Identify the y-intercept of the equation.

a)

Y-Int = 61.93

b)

Y-Int = -1.79

c)

Y-Int = (0, -1.79)

d)

Y-Int = (0, 61.93)

34.

The linear regression equation is y = 61.93x - 1.79. Identify the slope of the equation.

a)

Slope = 61.93

b)

Slope = -1.79

c)

Slope = (0, -1.79)

d)

Slope = (0, 61.93)

35.

The linear regression equation is y = 61.93x - 1.79. According to the equation, the y-intercept can be interpreted as:

a)

After 0 hours of driving, they went -1.79 miles.

b)

They are driving -1.79 miles per hour.

c)

They drove 1.79 miles total.

d)

They drive 1.79 hours total.

36.

The linear regression equation for the data is y = 1.5x + 12. Interpret the slope of the equation.

a)

The slope is (0, 1.5). It means that a pizza with 0 toppings will cost $1.50.

b)

The slope is 1.5. It means that it costs $1.50 per topping.

c)

There are 1.5 toppings.

d)

There are 1.5 pizzas.

37.

A health researcher wishes to show that running can help reduce weight. x is the total running time per week (in minutes) and y is the amount of weight loss (in kg). From the regression line given, interpret the value of b.

a)

For every minute decrease in running time the weight loss increase by 0.018 kg

b)

For every minute increase in running time the weight loss increase by 0.018 kg

c)

For every minute increase in running time the weight loss increase by 0.018

d)

For every minute increase in weight loss the running time increase by 0.018 kg

38.

The value of the ‘coefficient of determination’ (r²) ranges from -1 to +1

a)

True

b)

False

39.

A survey shows that there is a linear relationship between the number of sets of exercise (x) they do in an intensive class and the marks (y) obtained in a test. The summary of information for a sample of 10 students is given below.

$\sum_{ }^{ }x=55,\sum_{ }^{ }𝑥^2=385,\sum_{ }^{ }𝑦^2=52868,\sum_{ }^{ }𝑦=726\sum_{ }^{ }𝑥𝑦=4102$

Interpret the coefficient of determination with 2 decimal places.

a)

89.78% of variation in the marks obtained is explained by variation in the number of sets of exercise

b)

89.78% of variation in the number of sets of exercise is explained by variation in the marks obtained

c)

89.9% of variation in the marks obtained is explained by variation in the number of sets of exercise

d)

89.783% of variation in the number of sets of exercise is explained by variation in the marks obtained

40.

The table shows the ages and heights of 7 persons. Why we cannot estimate the height of a person with age 20 years? Give your reason.

a)

extrapolation, not accurate

b)

interpolation, not accurate

c)

extrapolation, accurate

d)

interpolation, accurate

41.

A health researcher wishes to show that running can help reduce weight. x is the total running time per week (in minutes) and y is the amount of weight loss (in kg). From the regression line given, estimate the amount of weight loss if a person ran for four hours in a week, correct to 2 significant figures.

a)

1.97 kg

b)

1.92 kg

c)

0.9 kg

d)

1.9 kg

42.

x is the advertising expenses (in million) and y is the sales revenues (in million).

From the regression line given, estimate the sales revenue when RM2.5 million is spent on advertising.

a)

700,000

b)

7,000,000

c)

7

d)

70,000

PRE PSPM AM025

Total questions: 42

Worksheet time: 1hrs 23mins

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