Question

Aaron and Jonathan take turns shooting a free throw, with Aaron going first. Whoever makes the first shot wins. The game continues until someone makes the shot. Aaron has a 40% chance of making a free throw, while Jonathan has a 50% chance. What is Aaron’s chance of winning the game?

Answer 1

Answer:

a) 15.58

b) 39.06

Step-by-step explanation:

MENSA is organization whose member have IQs in the top 2% of the population. IQs are normally distributed with mean 100, and the minimum IQ score required for admission to MENSA is 132.

From standard normal table z value for top 2% =2.054

132 = 100+2.054×σ

σ=(132-100)/2.054=15.58

(b) Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 185 milligrams per deciliter (mg/dl). Women with cholesterol levels above 220 mg/dl are considered to have high cholesterol and about 18.5% of women fall into this category.

From standard normal table z value for top 18.5% =0.896

220 = 185+0.896×σ

σ=(220-185)/0.896 =39.06