Binomial vs Geometric Probability

Suppose that a quiz consists of 20 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the will student get 8 or fewer answers correct? √

• Find the probability that X=8 in a binomial distribution with n = 20 and p=0.5. 

• Find the area between 0 and 8 in a uniform distribution that goes from 0 to 20. 

• Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of √5

• Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5. 

Leo selects 25 grandparents at random from his town to interview. In the town, 35% of the grandparents have their grandchildren living with them. Let G be the number of grandparents Leo interviews whose grandchildren are living with them. What type of variable is G?

• Geometric

• Binomial

• Both

• Neither

counts the number of trials needed to obtain the 1st success. X = 1,2,3,…

• Geometric

• Binomial

• Both

• Neither

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. 

d) What’s the probability that they find someone who is color-blind before checking the 10th man?

• Binomial Distribution

• Geometric Distribution

If you want a certain number of successes in a set amount of trials, use the ????? model.

• geometric

• binomial

• normal

• calculato

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. 

What’s the probability that they won’t find anyone color-blind among the first 4 men they check?

• Binomial Distribution

• Geometric Distribution

If you want a certain number of successes in a set amount of trials, use the ???? method.

• Geometric

• Binomial

• Normal

• Poisson

What function would you use to solve this question: You flip a coin until you get a certain amount of successes. What is the probability of getting more than 10 heads?

• GeometCDF

• BinomCDF

• GeometPDF

• 1 - GeometCDF

Each observation falls into one of two categories: “success” or “failure”

• Geometric

• Binomial

• Both

• Neither

The n observations are all independent.

• Geometric

• Binomial

• Both

• Neither