Question

Can someone please show me how to do this?

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 104; σ = 16
P(x ≥ 120) =

Answer 1

First find the Z-score using
\(Z=(x-\mu)/\sigma\)=(x-104)/16
=(120-104)/16=1 [ for x=120]

P(x\(\ge 120\))=P(Z>1)
Then look up the probability distribution (table or calculator) to find the probability of Z > 1.00
See probability distribution table below:
http://www.stat.purdue.edu/~mccabe/ips4tab/bmtables.pdf
Look for the row where z=1.0.
The first column is z=1.00 (what you need), the second column is z=1.01, etc.
The table entry represent probabilities.