Geometric or Binomial

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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 the first colorblind man found will be the sixth person checked?
Binomial
Geometric
Answer explanation
The scenario describes finding the first success (colorblind man) on the sixth trial, which follows a geometric distribution. Thus, the correct choice is Geometric.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
Answer explanation
G is a binomial variable because it counts the number of successes (grandparents with grandchildren living with them) in a fixed number of trials (25 interviews), with each trial having two possible outcomes.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The biologist collects and examines a dozen frogs. If the probability of given trait in this species is p, what’s the probability they find the trait in none of the 12 frogs?
Binomial
Geometric
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the probability of given trait in this species is p, how many frogs should they expect to collect before they find one with this trait?
Binomial
Geometric
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the probability of given trait in this species is p, what is the probability that the biologist will have to collect no more than 4 frogs before they find one with the trait?
Binomial
Geometric
Answer explanation
The question asks for the probability of finding a trait within a certain number of trials. This scenario fits a geometric distribution, which models the number of trials until the first success, making 'Geometric' the correct choice.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What's the probability that at least 3 out of 10 chips need to be rejected?
Binomial
Geometric
Answer explanation
The scenario involves a fixed number of trials (10 chips) with two possible outcomes (reject or not reject). The probability of rejection is constant (2%). Thus, this follows a Binomial distribution.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What’s the probability you find 1 bad one within the first 10 you examine?
Binomial
Geometric
Answer explanation
The scenario describes a fixed number of trials (10 chips) with two outcomes (bad or good). The probability of finding 1 bad chip follows a binomial distribution, making 'Binomial' the correct choice.
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