Binomial Vs Geometric Distributions

A wildlife biologist examines frogs for a genetic trait they suspect may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. 

1. The biologist collects and examines a dozen frogs. If the frequency of the trait has not changed, what’s the probability they find the trait in none of the 12 frogs? 

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

A wildlife biologist examines frogs for a genetic trait they suspect may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. 

2. How many frogs should they expect to collect before they find one with this trait?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

A wildlife biologist examines frogs for a genetic trait they suspect may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. 

2. What is the probability that the biologist will have to collect no more than 4 frogs before they find one with the trait?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.

What’s the probability that the fifth chip you test is the first bad one you find?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.

What's the probability that at least 3 out of ten chips need to be rejected?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing.

What’s the probability you find a bad one within the first 10 you examine?

• Binomial Distribution

• Geometric Distribution

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

a) On average, how many men should the researcher expect to check to find one who is colorblind?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

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

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

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.A.2

CCSS.HSS.MD.A.1

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

c) What’s the probability that the first colorblind man found will be the sixth person checked?

• Binomial Distribution

• Geometric Distribution

Tags

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.MD.A.3