Given that X has a normal distribution with μ = 300 and σ = 50, i) Find the probability that X assumes a value greater than 362. ii) Find the probability that X assumes a value between 181.5 and 291. iii) Find the probability that X assumes a value less than 362.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Given that X has a normal distribution with μ = 300 and σ = 50,
i) Find the probability that X assumes a value greater than 362.
ii) Find the probability that X assumes a value between 181.5 and 291.
iii) Find the probability that X assumes a value less than 362.
iv) Find the value of x such that it has 42.8% of the area to the left.

Note: Tabulated values are at the end

 

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