Name: _________________________
Psyc 300
Mini HW 6
Assume a normally distributed population with µ = 110, σ= 15
1. What percentage of scores lie above a raw score of 125 [p(X>125)]?
2. What is the probability that an individual has a score between 100 and 135? [p (100<X<135)]?
3. It is 5:00 a.m. and you’re late for work. You can’t turn on the light or you’ll wake your roommate. You
reach into your sock drawer and hope for the best. You know you have 5 pairs of black
socks, 4 pairs of gray, 2 pairs of red, and 3 pairs of bright green. What is the probability
you will grab a black or a gray pair (the socks are rolled together in matching pairs)?
4. If you were to take every score in the distribution displayed below and calculate its
corresponding z-score, what type of distribution would result? a) please draw/label it it, b) what
is the probability of scoring above 52 [p(X>52)]?
μ = 65.7
σ = 13.2
