GCSE Further Maths – Binomial Probability

Last updated: 20/04/2020

Summer Start for A-Level Maths Statistics & Discrete GCSE Further Maths – Binomial Probability

Question 1 of 45

1. Question
Given that X∼B(17,0.64) Find P(X=8)
- $0.06949399$
- 0.93050601
- 0.08686749
- 0.07644339
Correct

Incorrect
Question 2 of 45

2. Question
Given that X∼B(15,0.97)”Find P(X=13)
- 0.06360106
- 0.05088085
- 0.93639894
- 0.06996117
Correct

Incorrect
Question 3 of 45

3. Question
Given that X∼B(9,0.45) Find P(X≠6)
- 0.88395072
- 0.29283942
- 0.19640843
- $- 0.10493840$
Correct

Incorrect
Question 4 of 45

4. Question
Given that X∼B(10,0.56) Find P(X≠9)
- $0.97616885$
- $1.07378574$
- $1.22021107$
- $0.88742623$
Correct

Incorrect
Question 5 of 45

5. Question
Given that X∼B(8,0.78) Find P(X≠2)
- $0.99806855$
- $- 0.24758569$
- $1.09787541$
- $1.24758569$
Correct

Incorrect
Question 6 of 45

6. Question
Given that X∼B(23,0.18) Find P(X<2)
- $0.06300666$
- $0.92124168$
- $0.06930732$
- $0.93069268$
Correct

Incorrect
Question 7 of 45

7. Question
Given that X∼B(15,0.95) Find P(X>12)
- $0.96379976$
- $- 0.20474970$
- $1.06017974$
- $- 0.06017974$
Correct

Incorrect
Question 8 of 45

8. Question
Given that X∼B(13,0.49) Find P(X<2)
- $0.00213025$
- $0.00266281$
- $0.99765673$
- $0.00170420$
Correct

Incorrect
Question 9 of 45

9. Question
Given that X∼B(8,0.86) Find P(X>5)
- $0.91092359$
- $1.00201595$
- $- 0.13865448$
- $1.13865448$
Correct

Incorrect
Question 10 of 45

10. Question
Given that X∼B(11,0.08) Find P(X≤2)
- $0.94810002$
- $1.04291002$
- $0.86190911$
- $- 0.18512502$
Correct

Incorrect
Question 11 of 45

11. Question
Given that X∼B(9,0.46) Find P(X≤2)
- $0.13583128$
- $0.85058559$
- $0.14941441$
- $0.12348299$
Correct

Incorrect
Question 12 of 45

12. Question
Given that X∼B(15,0.68) Find P(X>13)
- $0.02476882$
- $0.01981506$
- $0.98018494$
- $0.96903897$
Correct

Incorrect
Question 13 of 45

13. Question
Given that X∼B(15,0.95) Find P(X≥13)
- $0.96379976$
- $0.12381840$
- $0.77103981$
- $- 0.20474970$
Correct

Incorrect
Question 14 of 45

14. Question
Given that X∼B(6,0.77) Find P(X≥4)
- $0.86089797$
- $0.94698777$
- <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.13910203</mn></math>
- <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.31128162</mn></math>
Correct

Incorrect
Question 15 of 45

15. Question
Given that X∼B(8,0.83) Find P(X≥7)
- $0.59427952$
- $0.65370747$
- $0.45974589$
- $0.25715060$
Correct

Incorrect
Question 16 of 45

16. Question
Given that X∼B(20,0.77) Find μX
- $15.4$
- $19.25$
- $12.32$
- $14$
Correct

Incorrect
Question 17 of 45

17. Question
Given that X∼B(12,0.69) Find μX
- $8.28$
- $7.5272727272727264$
- $6.624$
- $10.35$
Correct

Incorrect
Question 18 of 45

18. Question
Given that X∼B(25,0.16) Find μX
- $4$
- 4.4
- 3.2
- 5
Correct

Incorrect
Question 19 of 45

19. Question
Given that X∼B(9,0.49) Find μX
- 4.41
- $4.009090909090909$
- $3.528$
- $4.851$
Correct

Incorrect
Question 20 of 45

20. Question
Given that X∼B(18,0.52) Find μX
- $9.36$
- $11.7$
- $7.4875$
- $10.296$
Correct

Incorrect
Question 21 of 45

21. Question
Given that X∼B(9,0.75) Find μX
- 6.75
- 5.4
- $6.136363636363636$
- $7.425$
Correct

Incorrect
Question 22 of 45

22. Question
Given that X∼B(9,0.41) Find μX
- 3.69
- 4.059
- $3.354545454545454$
- $2.952$
Correct

Incorrect
Question 23 of 45

23. Question
Given that X∼B(11,0.49) Find $σ^2$ X
- $2.7489$
- $3.02379$
- $2.199117$
- $2.4987$
Correct

Incorrect
Question 24 of 45

24. Question
Given that X∼B(9,0.02) Find σ²X
- 0.1764
- $0.19404$
- $0.14112$
- $0.16036363636363635$
Correct

Incorrect
Question 25 of 45

25. Question
Given that X∼B(15,0.35) Find σ²X
- $3.4125$
- 2.73
- $3.75375$
- $4.265625$
Correct

Incorrect
Question 26 of 45

26. Question
Given that X∼B(21,0.49) Find σ²X
- $5.2479$
- $4.19832$
- $6.559875$
- $4.770818181818181$
Correct

Incorrect
Question 27 of 45

27. Question
Given that X∼B(9,0.47) Find σ²X
- $2.2419$
- $2.8023746$
- $2.0380909090909087$
- $1.793518$
Correct

Incorrect
Question 28 of 45

28. Question
Given that X∼B(14,0.06) Find σ²X
- $0.7896$
- $0.7178181818181817$
- $0.63168$
- $0.987$
Correct

Incorrect
Question 29 of 45

29. Question
Given that X∼B(5,0.1) Find σ²X
- 0.45
- $0.5625$
- $0.40909090909090906$
- $0.36$
Correct

Incorrect
Question 30 of 45

30. Question
Given that X∼B(23,0.7) Find $σ^2$ X
- 4.83
- $4.390909090909091$
- $6.0375$
- $5.313$
Correct

Incorrect
Question 31 of 45

31. Question
Given that X∼B(20,0.45) Find P(X<7)
- $0.1299$
- $0.8819$
- $0.1624$
- $0.1429$
Correct

Incorrect
Question 32 of 45

32. Question
Given that X∼B(15,0.25) Find P(X>8)
- $0.0042$
- $0.0052$
- $0.9954$
- $0.0046$
Correct

Incorrect
Question 33 of 45

33. Question
Given that X∼B(20,0.4) Find P(X>12)
- $0.0210$
- $0.0191$
- $0.9737$
- <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.9769</mn></math>
Correct

Incorrect
Question 34 of 45

34. Question
Given that X∼B(20,0.45) Find P(X≤8)
- $0.4143$
- $0.5443$
- $0.5179$
- $0.5857$
Correct

Incorrect
Question 35 of 45

35. Question
Given that X∼B(15,0.2) Find P(X≤6)
- $0.9819$
- $0.2144$
- $1.2274$
- $0.8927$
Correct

Incorrect
Question 36 of 45

36. Question
Given that X∼B(20,0.3) Find P(X≥13)
- $0.0013$
- $0.9984$
- $0.0016$
- $0.0012$
Correct

Incorrect
Question 37 of 45

37. Question
Given that X∼B(20,0.4) Find P(X≥12)
- $0.0565$
- $0.9293$
- $0.9486$
- $0.9548$
Correct

Incorrect
Question 38 of 45

38. Question
Given that X∼B(20,0.65) Find P(X<10)
- $0.0532$
- $0.9517$
- $0.9575$
- $0.0483$
Correct

Incorrect
Question 39 of 45

39. Question
Given that X∼B(15,0.65) Find P(X<7)
- $0.0422$
- $0.9473$
- $0.0384$
- $0.9536$
Correct

Incorrect
Question 40 of 45

40. Question
Given that X∼B(30,0.6) Find P(X>21)
- $0.0940$
- $0.0752$
- $0.1034$
- $0.9248$
Correct

Incorrect
Question 41 of 45

41. Question
Given that X∼B(15,0.7) Find P(X>7)
- $0.9500$
- $0.8636$
- $0.7600$
- $0.1364$
Correct

Incorrect
Question 42 of 45

42. Question
Given that X∼B(25,0.65) Find P(X≤9)
- $0.0029$
- $0.0027$
- $0.0032$
- $0.0024$
Correct

Incorrect
Question 43 of 45

43. Question
Given that X∼B(20,0.65) Find P(X≤7)
- $0.0060$
- $0.0055$
- $0.0075$
- $0.9945$
Correct

Incorrect
Question 44 of 45

44. Question
Given that X∼B(15,0.65) Find P(X≥8)
- $0.8868$
- $0.2906$
- $0.1132$
- $0.0246$
Correct

Incorrect
Question 45 of 45

45. Question
Given that X∼B(15,0.7) Find P(X≥9)
- $0.8689$
- $1.0861$
- $0.9557$
- $0.6951$
Correct

Incorrect

GCSE Further Maths – Binomial Probability

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