Binomial Distribution

Question 1

Select all statements below that are true about the binomial distribution shown on the right.

Revolt · Accepted Answer

The bar for any number k represents the probability of getting k successes in 5 flips.; The number of successes, k, can range from 0 (no success) to 5 (all successes).; Each coin flip is independent; it is not affected by any other coin flip.; For 5 coin flips, P(2 heads) = P(3 heads).

Question 2

Let k be the number of successes (green) when the spinner is spun 4 times. The graph shows the distribution of k. Slide the slider to change p. What effect does this have on the distribution? Check all of the boxes that apply.

Revolt · Accepted Answer

The graph is always a binomial distribution.; No matter what p is, k can always be 0, 1, 2, 3, or 4.; For values of p close to 0.5, the distribution is more symmetric.; For values of p close to 1, you’re most likely to get 3 or 4 successes in 4 spins.

Question 3

Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”

Revolt · Accepted Answer

P(3 successes)

Question 4

What is the probability of getting a vowel (a success) for the spinner shown?

Revolt · Accepted Answer

1/3

Question 5

P(getting A on 2 or fewer spins) =

Revolt · Accepted Answer

0.79

Question 6

Which probabilities do you need in order to calculate P(getting A on 2 or fewer spins)?

Revolt · Accepted Answer

P(0 successes); P(1 success); P(2 successes)

Question 7

Flip 1’s number of successes:

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2

Question 8

Flip 2’s number of successes:

Revolt · Accepted Answer

3

Question 9

Flip 3’s number of successes:

Revolt · Accepted Answer

0

Question 10

Flip 4’s number of successes:

Revolt · Accepted Answer

2

Binomial Distribution Answers

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