Geometric Distributions

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

• geometric

• binomial

If you want to know how many trials you will need before your first success, use the ????? model.

• Geometric

• Binomial

• Normal

• Calculator

Tags

CCSS.HSS.MD.A.3

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

• geometric

• binomial

• normal

• calculato

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood? 

• 9.1 donors
• 8.5 donors
• 10.3 donors
• Cannot be determined.

Tags

CCSS.HSF.BF.A.2

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

• approximately 0.00
• 0.316
• 0.0385 
• 0.279

Tags

CCSS.HSF.BF.A.2

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets. What is the probability that she does NOT sell a garment until the 7th customer? Assume each customer is independent.

• 0.033
• 0.027
• 0.0313
• Not here

Tags

CCSS.HSF.BF.A.2

Each year there is a 14% chance of a major earthquake on the island of Honshu. What is the probability that the next major earthquake will occur within the next three years?

• 36.4%

• 42.0%

• 58.0%

• 46.7%

Tags

CCSS.HSF-LE.A.1C

Each box of cracker jacks has a 16% probability of containing a prize. Suppose you really want this prize and will keep buying boxes of cracker jacks until you win it.

What is the probability you will have to buy at least three boxes?

• 70.6%

• 29.4%

• 48.0%

• 53.3%

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

It is the beginning of the year, and Jenny is still driving her old car. Each month, the car has a 7% chance of breaking down. If it breaks down, Jenny will buy a new car.

What is the probability she will buy a new car before the end of May?

• 0.2520

• 0.3043

• 0.0140

• 0.6957

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.8

Is this a geometric random variable?

There are 20 fish in a lake, five trout and fifteen bass. You won't stop catching fish until you catch a trout. After you catch each fish, you throw it back. Once you get a trout, you will stop fishing. Let "x" = how many fish you catch.

[Assume all fish are equally likely to be caught.]

• Yes

• No

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3