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Binomial Distribution

Total questions: 21

Worksheet time: 20mins

Name
Class
Date
1.
Is the distribution below a probability distribution? Why or why not?
a)
Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
b)
No, not all P(x) values are between 0 and 1.
c)
No, ∑P(x) ≠ 1.
2.
Which one of these variables is a continuous random variable?
a)
The time it takes a randomly selected student to complete an exam.
b)
The number of tattoos a randomly selected person has.
c)
The number of women taller than 68 inches in a random sample of 5 women. 
d)
The number of correct guesses on a multiple choice test. 
3.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

4.
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 exactly 2 of the first 20 blood donors have Type B blood? 
a)
0.316
b)
0.282
c)
0.001
d)
Not here
5.

X ~ B(20, 0.5)


Find P(X = 7)

a)

0.07

b)

0.13

c)

0.87

d)

0.94

6.

X ~ B(20, 0.5)


Find P(X ≤ 7)

a)

0.07

b)

0.13

c)

0.87

d)

0.94

7.

X ~ B(20, 0.5)


Find P(X ≥ 7)

a)

0.07

b)

0.13

c)

0.87

d)

0.94

8.

X is the number of heads when a fair coin is flipped 12 times


Find P(X = 4)

a)

0.12

b)

0.19

c)

0.81

d)

0.93

9.

X is the number of heads when a fair coin is flipped 12 times


Find P(X ≥ 8)

a)

0.93

b)

0.12

c)

0.81

d)

0.19

10.

X ~ B(30, 0.9)


Find P(X ≥ 25)

a)

0.10

b)

0.18

c)

0.82

d)

0.93

11.

X ~ B(18, 0.3)


Find P(X ≥ 5)

a)

0.20

b)

0.53

c)

0.47

d)

0.67

12.
Which of the following is false about binomial probabilities?
a)
Their distributions are approximately symmetric.
b)
Trials must be fixed.
c)
Events musts be independent.
d)
The probability of success must be 0.50
13.
Is the distribution below a probability distribution? Why or why not?
a)
Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1
b)
No, not all P(x) values are between 0 and 1.
c)
No, ∑P(x) ≠ 1.
14.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

15.

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

a)

4.2

b)

3.5

c)

12.0

d)

6.2

16.
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.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
17.
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.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
18.
Classify: The numbers of cheeseburgers a fast-food restaurant serves each day
a)
None of these
b)
Abstract
c)
Continuous
d)
Discrete
19.
A.  If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?
a)
.9423
b)
.1316
c)
.0577
d)
.0739
20.

A fair three-sided spinner has sectors labelled 1,2,3. The spinner is spun until a 3 is scored. The number of spins required to get a 3 is denoted by X. Is this Binomial Distribution question?

a)

Yes

b)

No

21.

On a certain road 20% of the vehicles are trucks, 16% are buses and the remainder are cars. A random sample of 11 vehicles is taken. Find the probability that fewer than 3 are buses.

a)

0.747

b)

0.748

c)

0.749

d)

0.746

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