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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 57

The random variable XXX follows a normal distribution such that X∼N(μ,42)X \sim N(\mu, 4^2)X∼N(μ,42) and P(X<32.22)=0.9678P(X < 32.22) = 0.9678P(X<32.22)=0.9678.

a.

Find the value of μ\muμ.

[3]
b.

Write down the value of P(μ<X<32.22)P(\mu < X < 32.22)P(μ<X<32.22).

[2]

2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

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