The random variable Y follows a normal distribution with mean µ and variance σ2 , i.e. Y ~ N(µ, σ2). Suppose we have the

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answerhappygod
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The random variable Y follows a normal distribution with mean µ and variance σ2 , i.e. Y ~ N(µ, σ2). Suppose we have the

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The random variable Y follows a normal distribution withmean µ and variance σ2 , i.e. Y ~ N(µ, σ2). Suppose we have thefollowing information:
P(X ≤ 66) = 0.0421 and P(X ≥ 81) = 0.1298
(a) Compute the value of σ = 5 (10 marks)
(b) Calculate P(65 ≤ X ≤ 74) (10 marks)
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