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Binomial Experiments Day 2

Total questions: 19

Worksheet time: 2hrs 36mins

Name
Class
Date
1.
If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?
a)
.5
b)
.1762
c)
.5881
d)
.4119
2.

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

3.
A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally
a)
3.42
b)
1.03
c)
0.072
d)
0.199
4.

A quarterback has a incomplete passing percentage of 30%. What is the probability that he does not complete exactly 8 of his 20 passes?

a)

11.44%

b)

12.45%

c)

54%

d)

12.34%

5.
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
6.

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

7.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
8.
What does the n stand for in the binomial probability formula?
a)
Number of trials
b)
Number of Successes
c)
Probability of Successes
d)
Probability of Failures
9.

What does the p stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successe

d)

Probability of Failure

10.

What does q (1-p) stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Success

d)

Probability of Failure

11.

Does the following describe a binomial experiment? If yes, identify n, p, q, and x.


Cyanosis is the condition of having blueish skin due to insufficient oxygen in the blood. About 80% of babies born with cyanosis recover fully. A hospital is caring for five babies born with cyanosis. The random variable represents the babies that recover fully.

a)

no

b)

Yes. n=5, p=.8, q=.2, x= 0,1, 2, 3, 4, 5

c)

Yes. n=5, p=.8, q=.2, x= 1, 2, 3, 4, 5

12.

Define binomial experiments and provide an example.

a)

An example of a binomial experiment is rolling a fair six-sided die

b)

A binomial experiment is a statistical experiment that has an infinite number of trials

c)

A binomial experiment is a statistical experiment that has the following properties: it consists of a fixed number of trials, each trial has only two possible outcomes (success or failure), the probability of success remains constant for each trial, and the trials are independent of each other.

d)

The probability of success in a binomial experiment changes with each trial

13.

Explain the characteristics of binomial experiments.

a)

Having a fixed number of trials, each trial having only two possible outcomes (success or failure), and the probability of success remaining constant for each trial.

b)

Having an unlimited number of trials

c)

Each trial having multiple possible outcomes

d)

The probability of success changing for each trial

14.

What are the two possible outcomes in a binomial experiment?

a)

Positive and negative

b)

Win and lose

c)

Success and failure

d)

Good and bad

15.

Identify the number of trials in the following scenario: A coin is flipped 5 times.

a)

2

b)

5

c)

3

d)

10

16.

In a binomial experiment, what does it mean for the trials to be independent?

a)

The outcome of one trial is predetermined by the outcome of another trial

b)

The outcome of one trial affects the outcome of another trial

c)

The outcome of one trial does not affect the outcome of another trial

d)

The trials are conducted at the same time

17.

If you flip a coin 50 times, what is the probability of getting exactly 25 heads?

a)

.50

b)

.08

c)

.11

d)

.22

18.

At a certain intersection, the light for westbound traffic is red for 16 seconds, yellow for 4 seconds, and green for 30 seconds. Find the probability that out of the next eight westbound cards that arrive randomly at the light, exactly three will be stopped by a red light.

a)

.58

b)

.67

c)

.1

d)

.27

19.

What button do you use for a binomial experiment in the calculator?

a)

normalpdf

b)

1-vars stats

c)

binompdf

d)

happy