 # Consider a binomial experiment with two trials and p = .4. a. Draw a tree diagram for this experiment (see Figure 5.3). b. Compute the probability of one success, f (1). c. Compute f (0). d. Compute f (2). e. Compute the probability of at least one success. f. Compute the expected value, variance, and standard deviation. 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section
Chapter 5.5, Problem 31E
Textbook Problem
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## Consider a binomial experiment with two trials and p = .4. a. Draw a tree diagram for this experiment (see Figure 5.3). b. Compute the probability of one success, f(1). c. Compute f(0). d. Compute f (2). e. Compute the probability of at least one success. f. Compute the expected value, variance, and standard deviation.

Expert Solution

a.

To determine

Draw a tree diagram for the experiment.

### Explanation of Solution

Calculation:

The binomial experiment with two trials with p=0.4 provided.

Tree diagram:

A tree diagram can be used for organizing and summarizing the possible outcomes of an experiment and their probabilities

Expert Solution

b.

To determine

Compute the probability of one success, f(1).

Expert Solution

c.

To determine

Compute the probability of zero success, f(0).

Expert Solution

d.

To determine

Compute the probability of two success, f(2).

Expert Solution

e.

To determine

Find the probability of at least one success.

Expert Solution

f.

To determine

Find the expected value, variance, and standard deviation.

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