Normal Distribution – Hard (A Level only)
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Question 1 of 25
1. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤7)=0.22711P(X≥8)=0.54111
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Question 2 of 25
2. Question
Find a when: X∼N(3.26,0.44^2 )P(X≤4)=P(Z≤a) Z follows the standard normal distribution
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Question 3 of 25
3. Question
Find a when: X∼N(9.71,0.48^2 )P(X≤10)=P(Z≤a) Z follows the standard normal distribution
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Question 4 of 25
4. Question
Find a when: X∼N(9.7,0.93^2 )P(X≤9)=P(Z≤a) Z follows the standard normal distribution
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Question 5 of 25
5. Question
Find a when: X∼N(3.77,0.25^2 )P(X≤4)=P(Z≤a) Z follows the standard normal distribution
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Question 6 of 25
6. Question
Find a when: X∼N(8.64,0.33^2 )P(X≤9)=P(Z≤a) Z follows the standard normal distribution
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Question 7 of 25
7. Question
Find a when: X∼N(2.87,0.41^2 P(X≤3)=P(Z≤a) Z follows the standard normal distribution
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Question 8 of 25
8. Question
Find a when: X∼N(5.53,0.11^2 )P(X≤5)=P(Z≤a) Z follows the standard normal distribution
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Question 9 of 25
9. Question
Find a when: X∼N(8.26,0.81^2 )P(X≤8)=P(Z≤a) Z follows the standard normal distribution
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Question 10 of 25
10. Question
Find a when: X∼N(2.79,0.15 ^2 )P(X≤3)=P(Z≤a) Z follows the standard normal distribution
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Question 11 of 25
11. Question
Find a when: X∼N(6.67,0.19^2 )P(X≤7)=P(Z≤a) Z follows the standard normal distribution
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Question 12 of 25
12. Question
Find a when: X∼N(7.23,0.66^2 )P(X≤7)=P(Z≤a) Z follows the standard normal distribution
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Question 13 of 25
13. Question
Find a when: X∼N(2.74,0.81^2 )P(X≤2)=P(Z≤a) Z follows the standard normal distribution
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Question 14 of 25
14. Question
Find μ and σ when: X∼N(μ,σ^2 )P(X≤2)=0.15128P(X≥5)=0.38344
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Question 15 of 25
15. Question
Find μ and σ when: X∼N(μ,σ^2 )P(X≤7)=0.42758P(X≥8)=0.27056
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Question 16 of 25
16. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤5)=0.28849P(X≥8)=0.17112
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Question 17 of 25
17. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤3)=0.11029P(X≥5)=0.49003
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Question 18 of 25
18. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤2)=0.19293P(X≥3)=0.56664
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Question 19 of 25
19. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤3)=0.28530P(X≥4)=0.42893
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Question 20 of 25
20. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤7)=0.25206P(X≥10)=0.28724
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Question 21 of 25
21. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤8)=0.21137P(X≥11)=0.32128
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Question 22 of 25
22. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤8)=0.29608P(X≥9)=0.47627
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Question 23 of 25
23. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤4)=0.51855P(X≥6)=0.11327
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Question 24 of 25
24. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤3)=0.23622P(X≥5)=0.22274
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Question 25 of 25
25. Question
Find μ and σ when: X∼N(μ,σ²)P(X≤6)=0.32361P(X≥7)=0.34833
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