Question

A) IQ is normally distributed with a mean of 100 and a standard deviation of 15
Suppose an individual is chosen at random:
MENSA is an organization whose members have IQs in the top 3%. What is the minimum IQ you would need to qualify for membership? (round to nearest whole number)

B) The height of men is a normally distrubuted variable with a mean of 68 inches and a standard deviation of 3 inches. **Round answers to ONE decimal place**What is the minimum height you could be to be considered in the top 10% of tallest men?

C) Liam is a professional darts player who can throw a bullseye 70% of the time.
If he throws a dart 250 times, what is the probability he hits a bulls eye:
*No more than 170 times?
*between 155 and 185 times (including 155 and 185)?
Use the Normal Approximation to the Binomial distribution to answer this question.

Answer 1