GCSE Further Maths – Normal Distribution
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Question 1 of 45
1. Question
Given that X∼N(1.7,0.97²) Find P(X≤2)
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Question 2 of 45
2. Question
Given that X∼N(4.62,0.85²) Find P(X≤5)
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Question 3 of 45
3. Question
Given that X∼N(3.38,0.86²) Find P(X≤4)
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Question 4 of 45
4. Question
Given that X∼N(9.77,0.31²) Find P(X≥10)
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Question 5 of 45
5. Question
Given that X∼N(8.86,0.46²) Find P(X≥8)
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Question 6 of 45
6. Question
Given that X∼N(〖1.22,0.88〗^2 ) Find P(X≥2)
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Question 7 of 45
7. Question
Given that X∼N(1.11,0.23²) Find P(X≥1)
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Question 8 of 45
8. Question
Given that X∼N(8.51,2.5²) Find P(7≤X≤10)
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Question 9 of 45
9. Question
Given that X∼N(9.48,0.5²) Find P(9≤X≤10)
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Question 10 of 45
10. Question
Given that X∼N(〖6.67,2.49〗^2 ) Find P(6≤X≤9)
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Question 11 of 45
11. Question
Given that X∼N(4.68,2.03²) Find P(5≤X≤6)
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Question 12 of 45
12. Question
Given that X∼N(〖7.61,2.45〗^2 ) Find P(X≤6 & X≥9)
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Question 13 of 45
13. Question
Given that X∼N(3.14,0.47²) Find P(X≤3& X≥4)
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Question 14 of 45
14. Question
Given that X∼N(〖9.11,0.8〗^2 ) Find P(X≤9 & X≥10)
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Question 15 of 45
15. Question
Given that X∼N(6.36,1.18²) Find P(X≤6 & X≥7)
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Question 16 of 45
16. Question
Find a when: X∼N(9.24,0.66²)P(X≤a)=0.35806
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Question 17 of 45
17. Question
Find a when: X∼N(6.58,0.46²)P(X≤a)=0.81939
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Question 18 of 45
18. Question
Find a when: X∼N(5.95,0.11²)P(X≤a)=0.67528
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Question 19 of 45
19. Question
Find a when: X∼N(1.82,0.79²)P(X≥a)=0.40988
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Question 20 of 45
20. Question
Find a when: X∼N(1.63,0.7²)P(X≥a)=0.81594
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Question 21 of 45
21. Question
Find a when: X∼N(〖3.25,0.85〗^2 )P(X≥a)=0.61567
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Question 22 of 45
22. Question
Find a when: X∼N(5.02,0.27²)P(X≥a)=0.52952
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Question 23 of 45
23. Question
Find a when: X∼N(5.58,2.48²)P(a≤X≤b)=0.14930
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Question 24 of 45
24. Question
Find a when: X∼N(5.74,2.33²)P(a≤X≤b)=0.33027
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Question 25 of 45
25. Question
Find a when: X∼N(8.03,1.59²)P(a≤X≤b)=0.23662
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Question 26 of 45
26. Question
Find a when: X∼N(8.68,1.52²)P(a≤X≤b)=0.48012
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Question 27 of 45
27. Question
Find a when: X∼N(9.72,0.97²)P(X≤a & X≥b)=0.61538
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Question 28 of 45
28. Question
Find a when: X∼N(4.84,2.32²)P(X≤a & X≥b)=0.66719
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Question 29 of 45
29. Question
Find a when: X∼N(3.25,2.01²)P(X≤a & X≥b)=0.32345
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Question 30 of 45
30. Question
Find a when: X∼N(8.02,1.13²)P(X≤a & X≥b)=0.37625
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Question 31 of 45
31. Question
Find a when: X∼N(9.13,0.41²)P(X≤9)=P(Z≤a) Z follows the standard normal distribution
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Question 32 of 45
32. Question
Find a when: X∼N(7.78,0.21²)P(X≤8)=P(Z≤a) Z follows the standard normal distribution
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Question 33 of 45
33. Question
Find a when: X∼N(4.09,0.52²)P(X≤4)=P(Z≤a) Z follows the standard normal distribution
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Question 34 of 45
34. Question
Find a when: X∼N(8.79,0.58²)P(X≥9)=P(Z≥a) Z follows the standard normal distribution
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Question 35 of 45
35. Question
Find a when: X∼N(8.43,0.62²)P(X≥8)=P(Z≥a) Z follows the standard normal distribution
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Question 36 of 45
36. Question
Find a when: X∼N(7.66,0.25²)P(X≥8)=P(Z≥a) Z follows the standard normal distribution
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Question 37 of 45
37. Question
Find a when: X∼N(3.49,0.92²)P(X≥3)=P(Z≥a) Z follows the standard normal distribution
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Question 38 of 45
38. Question
Find a and b when: X∼N(9.19,1.8²)P(a≤X≤b)=0.41937P(X≤b)=0.67364
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Question 39 of 45
39. Question
Find a and b when: X∼N(8.31,2.32²)P(a≤X≤b)=0.33077P(X≤b)=0.61692
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Question 40 of 45
40. Question
Find a and b when: X∼N(5.33,1.67²)P(a≤X≤b)=0.20878P(X≤b)=0.42168
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Question 41 of 45
41. Question
Find a and b when: X∼N(8.44,2.34²)P(a≤X≤b)=0.32209P(X≤b)=0.74751
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Question 42 of 45
42. Question
Find a and b when: X∼N(8.05,1.79²)P(a≤X≤b)=0.21334P(X≤a)=0.48886
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Question 43 of 45
43. Question
Find a and b when: X∼N(8.04,1.5²)P(a≤X≤b)=0.49486P(X≤a)=0.24405
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Question 44 of 45
44. Question
Find a and b when: X∼N(〖3.91,1.15〗^2 )P(a≤X≤b)=0.31681P(X≤a)=0.21438
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Question 45 of 45
45. Question
Find a and b when: X∼N(9.8,1.77²)P(a≤X≤b)=0.21934P(X≤a)=0.32564
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