Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Introductory Business Statistics 2e

Bringing It Together: Homework

Introductory Business Statistics 2eBringing It Together: Homework
123.

A previous year, the weights of the members of the San Francisco 49ers and the Dallas Cowboys were published in the San Jose Mercury News. The factual data are compiled into Table 3.24.

Shirt # ≤ 210 211–250 251–290 290≤
1–33 21 5 0 0
34–66 6 18 7 4
66–99 6 12 22 5
Table 3.24

For the following, suppose that you randomly select one player from the 49ers or Cowboys.

If having a shirt number from one to 33 and weighing at most 210 pounds were independent events, then what should be true about P(Shirt# 1–33|≤ 210 pounds)?

124.

The probability that someone develops cancer during their lifetime is 0.4567. The probability that a person has at least one false positive test result (meaning the test comes back for cancer when the person does not have it) is 0.51. Some of the following questions do not have enough information for you to answer them. Write “not enough information” for those answers. Let C = a person develops cancer and P = person has at least one false positive.

  1. P ( C ) = P(C)= ______
  2. P ( P | C ) = P(P|C)= ______
  3. P ( P | C' ) = P(P|C')= ______
  4. If a test comes up positive, based upon numerical values, can you assume that person has cancer? Justify numerically and explain why or why not.
125.

Given events G and H: P(G) = 0.43; P(H) = 0.26; P(H∩G)P(H∩G) = 0.14

  1. Find P ( H ∪ G ) . P(H∪G).
  2. Find the probability of the complement of event ( H ∩ G ) . (H∩G).
  3. Find the probability of the complement of event ( H ∪ G ) . (H∪G).
126.

Given events J J and K : P ( J ) = 0.18 ;K:P(J)=0.18; P ( K ) = 0.37 ;P(K)=0.37; P ( J ∪ K ) = 0.45 P(J∪K)=0.45

  1. Find P ( J ∩ K ) . P(J∩K).
  2. Find the probability of the complement of event ( J ∩ K ) . (J∩K).
  3. Find the probability of the complement of event ( J ∩ K ) . (J∩K).
PreviousNext
Order a print copy
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/introductory-business-statistics-2e/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/introductory-business-statistics-2e/pages/1-introduction
Citation information

© Jul 18, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.