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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.

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Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435

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Chapter
Section
BuyFindarrow_forward

Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435
Chapter 5.5, Problem 31E
Textbook Problem
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Consider a binomial experiment with two trials and p = .4.

  1. a. Draw a tree diagram for this experiment (see Figure 5.3).
  2. b. Compute the probability of one success, f(1).
  3. c. Compute f(0).
  4. d. Compute f (2).
  5. e. Compute the probability of at least one success.
  6. f. Compute the expected value, variance, and standard deviation.

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

b.

To determine

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

c.

To determine

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

d.

To determine

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

e.

To determine

Find the probability of at least one success.

f.

To determine

Find the expected value, variance, and standard deviation.

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Chapter 5 Solutions

Essentials Of Statistics For Business & Economics
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