Let z be a random variable with a standard normal distribution. Find “a” such that P=(|z|

A population of values has a normal distribution with μ=131.5μ=131.5 and σ=28.9σ=28.9. You intend to draw a random sample of size n=25n=25.Find the probability that a single randomly selected value is greater than 117.1.P(X > 117.1) = Find the probability that a sample of size n=25n=25 is randomly selected with a mean greater than 117.1.P(M > 117.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.   Please can you break done step by step please. I ask a similar problem like this before and the answers fpr the homework were different. Thank you

Short Answer 1. Use the normal approximation to find u and o in a binomial distribution with n = 1000 and p = 0.5.

A population of values has a normal distribution with μ=35.2 and σ=40.2, You intend to draw a random sample of size n=228.Find the probability that a sample of sizen=228 is randomly selected with a mean less than 27.5.P(M < 27.5) =

Current Attempt in Progress Let x have a normal distribution with a mean of 57.7 and a standard deviation of 4.95. The z value for x = 43.38, rounded to two decimal places, is: i

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A population of values has a normal distribution with μ=116.3μ=116.3 and σ=27.5σ=27.5. You intend to draw a random sample of size n=249n=249.Find the probability that a single randomly selected value is greater than 117.3.P(X > 117.3) = Find the probability that a sample of size n=249n=249 is randomly selected with a mean greater than 117.3.P(¯xx¯ > 117.3) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A normal distribution has μ = 32 and σ = 5. (a) Find the z score corresponding to x = 27.

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)   P(z ≥ −1.60)= _______________Shade the corresponding area under the standard normal curve.

A population of values has a normal distribution with μ=73.1μ=73.1 and σ=28.1σ=28.1. You intend to draw a random sample of size n=131n=131.Find the probability that a single randomly selected value is greater than 69.7.P(X > 69.7) = Find the probability that a sample of size n=131n=131 is randomly selected with a mean greater than 69.7.P(M > 69.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.