Question

The average prison sentence for a person to visit a second-degree murder is 15 years which sentence are normally distributed with a standard deviation of 1.8 years find the following probabilities a person sentence is greater than 13 years

Answer 1

Solution :

Let X be a random variable which represents the time of prison sentence for second degree murder.

Given that, X ~ N(15, 1.8²)

μ = 15 years and  σ = 1.8 years

We have to find P(X > 13 years).

We know that if X ~ N(μ, σ²) then,

Using "pnorm" function of R we get, P(Z > -1.1111) = 0.8667

Hence, the probability that a person sentence is greater than 13 years is 0.8667.

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