Problem: A population of values has a normal distribution with μ=198.8μ=198.8 and σ=69.2σ=69.2. You intend to draw a random sample of size n=147n=147. Find the probability that a single randomly...

Problem: A population of values has a normal distribution with μ=198.8μ=198.8 and σ=69.2σ=69.2. You intend to draw a random sample of size n=147n=147.


Find the probability that a single randomly selected value is between 184 and 205.1.

P(184 X < 205.1)="">


Find the probability that a sample of size n=147n=147 is randomly selected with a mean between 184 and 205.1.

P(184 M < 205.1)="">


Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exactz-scores orz-scores rounded to 3 decimal places are accepted.