The random variable Y follows a normal distribution with mean μ and variance σ=2​ i.e. Y∼N(μ,σ2). Suppose we have the fo

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The random variable Y follows a normal distribution with mean μ and variance σ=2​ i.e. Y∼N(μ,σ2). Suppose we have the fo

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The random variable Y follows a normal distribution with mean μ and variance σ=2​ i.e. Y∼N(μ,σ2). Suppose we have the following information: P​(X​≤66)=0.0421 and P(X≥81)=0.1298 (a) Compute the value of σ=5 (10 marks) (c) Calculate P​(65≤X≤74)​ (10 marks)
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