Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace STA 112 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions
Do not waste time on a question you don’t know
Move as fast as possible and starting with questions that don’t have calculation first to save time
Always crosscheck
Don’t be in a hurry to submit, you are not in a competition
Don’t be scared. Getting an A is easy
Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book
Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

I wish you success

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STA 112

1 / 40

1. Assigning 5, 3, and 2 nurses to 3 departments from 10 nurses is

A. 5C3 × 3C2 × 2C1

B. 10C5 × 10C3 × 10C2

C. 10! / (5! × 3! × 2!)

D. 10P3

2 / 40

2. Permutation differs from combination by focusing on

A. Group size

B. Order of arrangement

C. Total outcomes

D. Probability

3 / 40

3. Number of six-digit numbers from digits 4,4,6,6,6,6 is

A. 120

B. 90

C. 150

D. 60

4 / 40

4. Probability of success in a Bernoulli trial is denoted by

A. p

B. q

C. r

D. x

5 / 40

5. X ~ Bi(10, 0.5), probability x = 4 is

A. 0.205

B. 0.156

C. 0.320

D. 0.184

6 / 40

6. P(x ≤ 2) in Bi(10, 0.5) equals

A. 0.810

B. 0.543

C. 0.05469

D. 0.998

7 / 40

7. Bernoulli trial is characterized by

A. Infinite outcomes

B. Two outcomes

C. Three outcomes

D. Zero outcomes

8 / 40

8. X ~ Bi(10, 0.5), P(1 ≤ x ≤ 3) equals

A. 0.176

B. 0.308

C. 0.1709

D. 0.118

9 / 40

9. Mean of a probability distribution is given by

A. ∑x/x

B. ∑x/P(x)

C. ∑xP(x)

D. ∑x²P(x)

10 / 40

10. Variance of binomial is

A. n × p × q

B. q/p

C. p² × q

D. n/p

11 / 40

11. Binomial distribution models

A. Multiple Bernoulli trials

B. One-time trials

C. Random permutations

D. Continuous experiments

12 / 40

12. Distinct arrangements of the word “Economics” is

A. 30240

B. 45360

C. 60480

D. 90720

13 / 40

13. In Poisson, λ = 1.44, P(2 ≤ x ≤ 4) is

A. 0.406

B. 0.223

C. 0.560

D. 0.089

14 / 40

14. In a sample of 10 students with 6 successes, probability p is

A. 0.6

B. 0.2

C. 0.4

D. 0.8

15 / 40

15. Number of ways to choose 3 red balls or more is

A. 10

B. 7

C. 5

D. 9

16 / 40

16. Ways to select 3 from 5 students (combination) is

A. 10

B. 6

C. 30

D. 15

17 / 40

17. Total arrangements of 7 Physics, 6 Biology, 5 Chemistry books together is

A. 7! + 6! + 5!

B. 18!

C. 3 × 18!

D. 7! × 6! × 5! × 3!

18 / 40

18. Poisson probability for x = 3, λ = 1.44 is

A. 0.1179

B. 0.151

C. 0.125

D. 0.089

19 / 40

19. Probability of an event A is calculated by

A. n(A)/n(S)

B. n(A) × n(S)

C. n(A) – n(S)

D. n(S)/n(A)

20 / 40

20. Variance of Bernoulli distribution is

A. p + q

B. q/p

C. p/q

D. p × q

21 / 40

21. Standard deviation of a distribution equals

A. mean × x

B. √variance

C. ∑x²

D. √(mean)

22 / 40

22. Probability describes

A. Speed of calculation

B. Degree of uncertainty in events

C. Precision of measuring tools

D. Value of currency

23 / 40

23. Mean of a binomial distribution is

A. p × p

B. n × p

C. n × q

D. p/q

24 / 40

24. First 3 questions compulsory from 8 gives

A. 5C2

B. 8C2

C. 5C3

D. 3C2

25 / 40

25. For n = 3, x = 2, p = 0.3, binomial probability is

A. 0.18

B. 0.189

C. 0.12

D. 0.25

26 / 40

26. Choosing at least 3 of first 4 questions yields

A. 4C3 × 4C2 + 4C4 × 4C1

B. 3C2 + 11

C. 5P2

D. 4C4 × 4C3

27 / 40

27. Mean of Bernoulli distribution is

A. q

B. q/p

C. pq

D. p

28 / 40

28. Tossing three coins gives a sample space of

A. 6

B. 2

C. 8

D. 4

29 / 40

29. In Poisson distribution, mean equals

A. λ

B. p

C. x

D. q

30 / 40

30. Total arrangements of 7 Physics, 6 Biology, 5 Chemistry books together is

A. 7! × 6! × 5! × 3!

B. 7! + 6! + 5!

C. 18!

D. 3 × 18!

31 / 40

31. For p = 0.6, the variance of Bernoulli is

A. 0.42

B. 0.36

C. 0.24

D. 0.16

32 / 40

32. For n = 3, x = 2, p = 0.3, binomial probability is

A. 0.25

B. 0.189

C. 0.12

D. 0.18

33 / 40

33. A discrete random variable assumes

A. Infinite values

B. Imaginary results

C. Any real number

D. Countable outcomes

34 / 40

34. Sample space of tossing two coins is

A. 6

B. 4

C. 8

D. 2

35 / 40

35. Selection of 5 questions from 8 without compulsion gives

A. 8C3

B. 5!

C. 5P3

D. 8C5

36 / 40

36. Outcome of a coin toss is considered

A. Certain

B. Fixed

C. Biased

D. Random

37 / 40

37. Tossing three coins gives a sample space of

A. 2

B. 8

C. 6

D. 4

38 / 40

38. 4! (4 factorial) is equal to

A. 36

B. 24

C. 16

D. 10

39 / 40

39. Probability of selecting 3 balls with at least 1 white from 2 white and 3 red is

A. 10

B. 12

C. 9

D. 12

40 / 40

40. Number of ways to seat 3 people in 6 seats is

A. 20

B. 720

C. 360

D. 120

Your score is

The average score is 40%

FUOYE STA 112 CBT Practice

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