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Unit 9 Day 8 Ch. 15 Bernoulli Trials & Binomial Probability Practice

Last updated over 4 years ago
19 questions
Remember: for a situation to be considered a Bernoulli Trial it needs to qualify:
1. There are only two possible outcomes for each trial (Success or Failure)
2. The probability of success, 'p' , is the same for each trial. This is known in advance.
3. Trials are independent.
3

Is the following situation a Bernoulli Trial? Think through the three criteria above.
If not, why not?
We roll 50 dice to find the distribution of the number that is rolled.
Trial = the number rolled by a dice
Success= not given

Choose the three answers that apply to this situation.

3

Is the following situation a Bernoulli Trial? Think through the three criteria above.
If not, why not?
How likely is it that in a group of 120 people, the majority may have Type A blood, given that 43% of the population have type A.
Trial = a person's blood type
Success= having type A blood
Failure= not having type A blood

Choose the three answers that apply to this situation.

3

Is the following situation a Bernoulli Trial? Think through the three criteria above.
If not, why not?
We deal 7 cards from a well shuffled deck of cards and get all hearts. How likely is that?
Trial = how many hearts out of 7 cards dealt
Success= card that is a heart
Failure= card that is not a heart

Choose the three answers that apply to this situation.

3

Is the following situation a Bernoulli Trial? Think through the three criteria above.
If not, why not?
You are rolling 5 dice and need to get at least two 6's to win the game.
Trial = rolling 5 dice
Success= roll a 6
Failure= do not roll a 6
2- 2 possible outcomes, P-set probability, I-independent events, N-number of trials
Choose the three answers that apply to this situation.

3

Is the following situation a Bernoulli Trial? Think through the three criteria above.
If not, why not?
We record the distribution of eye colors in a group of people (brown, blue, green, hazel, other).
Trial = eye color of each person
Success= not clear because there is more than one eye color
Failure= not clear

Choose the three answers that apply to this situation.

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.
If she shoots 6 arrows, what is the value of 'n'?

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.

If she shoots 6 arrows, what is the value of 'p'? (probability of success, hitting the bull's-eye)
Enter your answer as a decimal.

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.
If she shoots 6 arrows, what is the value of 'q'? (probability of failure, not hitting the bull's-eye)

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.
Use the formula:
If she shoots 6 arrows, what is the probability that she gets exactly 4 Bull’s-eyes?
Enter your answer as a decimal rounded to three places past the decimal point.

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.
Use the formula:
If she shoots 6 arrows, what is the probability that she gets exactly 5 Bull’s-eyes?
Enter your answer as a decimal rounded to three places past the decimal point.

4

An Olympic archer is able to hit the bull’s-eye 80% of the tme.
Assume each shot is independent of the others.
Use the formula:
If she shoots 6 arrows, what is the probability that she gets all 6 Bull’s-eyes? (this is the same as 'exactly 6')
Enter your answer as a decimal rounded to three places past the decimal point.

4

Using the information from the previous three questions, what is the probability that the Olympic Archer is able to hit the bull's-eye at least four times out of 6 shots?

Hint: P(at least 4 bull’s-eyes)= P(4 bull's-eyes) or P(5 bull's-eyes) or P(6 bull's-eyes)

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.
Assuming the shots are independent, what's the value of 'n'?

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.
Assuming the shots are independent, what's the value of 'p'? (probability of success, making the basket)
Enter your answer as a decimal.

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.
Assuming the shots are independent, what's the value of 'q'? (probability of failure, not making the basket)
Enter your answer as a decimal.

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.

Now that you have identified n, p, q, use the formula:
Assuming the shots are independent, what's the probability he makes exactly 3 of the 5 shots?
Enter your answer as a decimal rounded to three places.

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.

Now that you have identified n, p, q, use the formula:
Assuming the shots are independent, what's the probability he makes exactly 4 of the 5 shots?
Enter your answer as a decimal rounded to three places.

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.

Now that you have identified n, p, q, use the formula:
Assuming the shots are independent, what's the probability he makes all 5 of the 5 shots?
Enter your answer as a decimal rounded to three places.

4

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game.

Use the answers to the previous three questions: what's the probability he makes at least three of the 5 shots?
Enter your answer as a decimal rounded to three places.