Binomial and Normal

Heights for 11 year old females are normally distributed with a mean of 56.7 inches and a standard deviation of 2.1 inches. The doctor says my 11 year old is at the 70th percentile of heights. How tall is she?

• 58.8 inches

• 58.2 inches

• 57.8 inches

• 55.6 inches

Find the probability to the left of z = 1.31, using the standard normal distribution

• 0.9049

• 0.9032

• 0.0968

• 0.0966

Find the probability P(0 < z < 1.96), using standard normal distribution

• 0.975

• 0.5

• 0.475

• 0.025

A factory that makes bottles knows that, on average, 1.5% of its bottles are defective. Find the probability that in a randomly selected sample of 20 bottles, at least one bottle is defective.

What's the probability x < 13?

(Mean = 10, Variance = 4)

• 0.9332

• 0.2266

• 0.7734

• 0.0668

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

• 0.161

• 0.965

• 0.015

• 0.997

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%

• 17.62%

• .58.81%

• 41.19%

The volumes of soda in quart soda bottles can be described by a Normal model with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a volume less than 32 oz?

• 0.4013

• 0.2403

• 0.5204

• 0.1407