A population of values has a normal distribution with μ=202.1μ=202.1 and σ=24σ=24. You intend to draw a random sample of size n=64n=64. a.) Find the probability that a single randomly selected value is between 204.5 and 205.1. P(204.5 < X < 205.1) =  b.) Find the probability that a sample of size n=64n=64 is randomly selected with a mean between 204.5 and 205.1. P(204.5 < M < 205.1) =  Enter your answers as numbers accurate to 4 decimal places.

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A population of values has a normal distribution with μ=202.1μ=202.1 and σ=24σ=24. You intend to draw a random sample of size n=64n=64.

a.) Find the probability that a single randomly selected value is between 204.5 and 205.1.
P(204.5 < X < 205.1) = 

b.) Find the probability that a sample of size n=64n=64 is randomly selected with a mean between 204.5 and 205.1.
P(204.5 < M < 205.1) = 

Enter your answers as numbers accurate to 4 decimal places.
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