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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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The following probability model shows the distribution of

Chapter 5, Problem 10CT

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QUESTION:

Problem 10CT

The following probability model shows the distribution of the most-popular-selling Girl Scout Cookies®.

Cookie Type

Probability

Thin Mints

0.25

Samoas®/Caramel deLites™

0.19

Peanut Butter Patties®/Tagalongs™

0.13

Peanut Butter Sandwich/Do-si-dos™

0.11

Shortbread/Trefoils

0.09

Other varieties

0.23

(a) Verify that this is a probability model.

(b) If a girl scout is selling cookies to people who randomly enter a shopping mall, what is the probability that the next box sold will be Peanut Butter Patties®/Tagalongs™ or Peanut Butter Sandwich/Do-si-dos™?

(c) If a girl scout is selling cookies to people who randomly enter a shopping mall, what is the probability that the next box sold will be Thin Mints, Samoas®/Caramel deLites™, or Shortbread/Trefoils?

(d) What is the probability that the next box sold will not be Thin Mints?

Questions & Answers

QUESTION:

Problem 10CT

The following probability model shows the distribution of the most-popular-selling Girl Scout Cookies®.

Cookie Type

Probability

Thin Mints

0.25

Samoas®/Caramel deLites™

0.19

Peanut Butter Patties®/Tagalongs™

0.13

Peanut Butter Sandwich/Do-si-dos™

0.11

Shortbread/Trefoils

0.09

Other varieties

0.23

(a) Verify that this is a probability model.

(b) If a girl scout is selling cookies to people who randomly enter a shopping mall, what is the probability that the next box sold will be Peanut Butter Patties®/Tagalongs™ or Peanut Butter Sandwich/Do-si-dos™?

(c) If a girl scout is selling cookies to people who randomly enter a shopping mall, what is the probability that the next box sold will be Thin Mints, Samoas®/Caramel deLites™, or Shortbread/Trefoils?

(d) What is the probability that the next box sold will not be Thin Mints?

ANSWER:

Solution:

Step 1 of 5:

Here we are given with a distribution most popular cookies.

Using this we need to obtain the required values.

The given distribution is

Cookie Type

Probability

Thin Mints

0.25

Samoas®/Caramel deLites™

0.19

Peanut Butter
 Patties®/Tagalongs™

0.13

Peanut Butter
 Sandwich/Do-si-dos™

0.11

Shortbread/Trefoils

0.09

Other varieties

0.23

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