Which of the following is NOT an assumption of the Binomial distribution?

All trials are dependent on each other.

All trials must be independent.

Each trial must be classified as a success or a failure.

The number of successes in the trials is counted.

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 those clothes. The owner had 275 customers that day. Assuming this was a typical day, what is the mean and standard deviation of customers who buy specialty clothes?

11 customers, give or take 3.25

25 customers, give or take 24.5

11 customers, give or take 3.32

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

100 C 70 ( 0.10 ) 30 ( 0.90 ) 70

100 C 70 ( 0.18 ) 30 ( 0.90 ) 70

100 C 70 ( 0.10 ) 30 ( 0.90 ) 60

99 C 70 ( 0.10 ) 30 ( 0.90 ) 70

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

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

Geometric and Binomial Distributions

Authored by Michelle Hills

Mathematics

12th Grade

CCSS covered

Used 275+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is false about binomial probabilities?

Their distributions are approximately symmetric.

Trials must be fixed.

Events musts be independent.

The probability of success must be 0.50

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

binomial

geometric

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which one of these variables is a continuous random variable?

The time it takes a randomly selected student to complete an exam.

The number of tattoos a randomly selected person has.

The number of women taller than 68 inches in a random sample of 5 women.

The number of correct guesses on a multiple choice test.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which one of these variables is a discrete random variable?

Time it takes a randomly selected student to complete a multiple choice exam.

The heights of randomly selected students in the class.

Distance between the students' home and school.

Number of pairs of shoes a randomly selected person owns.

Tags

CCSS.HSF-LE.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

Tags

CCSS.HSF-LE.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

Tags

CCSS.HSF-LE.A.1C

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Geometric and Binomial 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?

Which of the following is false about binomial probabilities?

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

Which one of these variables is a continuous random variable?

Which one of these variables is a discrete random variable?

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

Which of the following is NOT an assumption of the Binomial distribution?

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

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geometric and Binomial Distributions

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

Which of the following is false about binomial probabilities?

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

Which one of these variables is a continuous random variable?

Which one of these variables is a discrete random variable?

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

Which of the following is NOT an assumption of the Binomial distribution?

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

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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?