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Brase & Brase - Understanding Basic Statistics 6/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 18 / 20

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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  • Instructions

    Create your course assignments by selecting questions from our bank of end-of-section exercises.

    In this assignment we present several textbook question types found in Understanding Basic Statistics 6/e by Charles Henry Brase and Corinne Pellillo Brase, published by Brooks/Cole. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. –/5 points BBBasicStat6 5.2.013. My Notes
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M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows.
Color Purple Yellow Red Orange Green Blue Brown
Percentage 17% 23% 23% 10% 8% 7% 12%
Suppose you have a large bag of plain M&M candies and you choose one candy at random.
(a) Find P(green candy or blue candy).

Are these outcomes mutually exclusive? Why?
    


(b) Find P(yellow candy or red candy).

Are these outcomes mutually exclusive? Why?
    


(c) Find P(not purple candy).

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Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.
Condition Present Condition Absent Row Total
Test Result + 102 28 130
Test Result − 17 53 70
Column Total 119 81 200
Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.)
(a) P(+ | condition present); this is known as the sensitivity of a test.


(b) P(− | condition present); this is known as the false-negative rate.


(c) P(− | condition absent); this is known as the specificity of a test.


(d) P(+ | condition absent); this is known as the false-positive rate.


(e) P(condition present and +); this is the predictive value of the test.


(f) P(condition present and −).
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One professor grades homework by randomly choosing 5 out of 10 homework problems to grade.
(a) How many different groups of 5 problems can be chosen from the 10 problems?
groups

(b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.)


(c) Silvia did 7 problems. How many different groups of 5 did she complete?
groups

What is the probability that one of the groups of 5 she completed comprised the group selected to be graded? (Round your answer to four decimal places.)
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Compute the following.
(a) P8, 3.


(b) C8, 3.


(c) P5, 5.


(d) C6, 6.
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A student must satisfy the literature, social science, and philosophy requirements this semester. There are four literature courses to select from, three social science courses, and two philosophy courses. Make a tree diagram showing all the possible sequences of literature, social science, and philosophy courses.


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