The table shows the results of a survey that asked 3203 people whether they wore contacts or glasses. A person is selected at random from the sample. Find the probability of each event. | | Only contacts | Only classes | Both | Neither | Total | | :--- | :--- | :--- | :--- | :--- | :--- | | Males | 64 | 841 | 177 | 456 | 1538 | | Females | 189 | 427 | 368 | 681 | 1665 | | Today | 253 | 1268 | 545 | 1137 | 3203 | a. The person wears only contacts or only glasses. b. The person is male or wears both contacts and glasses. c. The person is female or wears neither contacts nor glasses.
Added by Susan A.
Close
Step 1
The person wears only contacts or only glasses: The total number of people who wear only contacts is 841 (males) + 189 (females) = 1030. The total number of people who wear only glasses is 427 (males) + 253 (females) = 680. So, the total number of people Show more…
Show all steps
Your feedback will help us improve your experience
Kari Hasz and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Eye Survey The table shows the results of a survey that asked 3203 people whether they wore contacts or glasses. A person is selected at random from the sample. Find the probability of each event. $$\begin{array}{|l|c|c|c|c|l|} \hline & \text { Only contacts } & \text { Only glasses } & \text { Both } & \text { Neither } & \text { Total } \\ \hline \text { Male } & 64 & 841 & 177 & 456 & 1538 \\ \text { Female } & 189 & 427 & 368 & 681 & 1665 \\ \hline \text { Total } & 253 & 1268 & 545 & 1137 & 3203 \\ \hline \end{array}$$ (a) The person wears only contacts or only glasses. (b) The person is male or wears both contacts and glasses. (c) The person is female or wears neither contacts nor glasses. (d) The person is male or does not wear glasses.
Probability
The Addition Rule
Eye Survey The table shows the results of a survey that asked 3203 people whether they wore contacts or glasses. A person is selected at random from the sample. Find the probability of each event. Only contacts Only glasses Both Neither Total Males 64 841 177 456 1538 Females 189 427 368 681 1665 Total 253 1268 545 1137 3203 Probability person is female OR wears only glasses. Round to the thousandths place. .234 .916 .612 .782
Kumar A.
Some young people do not like to wear glasses. A survey considered a large number of teenage students as to whether they needed glasses to correct their vision and whether they used the glasses when they needed to. Here are the results. $$\begin{array}{|l|c|c|c|} \hline \multirow{2}{*} & \multirow{2}{*}\multicolumn{2}{|c|}\text { Used glasses when needed }\text { Used glasses when needed } \\ \hline & & \text { Yes } & \text { No } \\ \hline \multirow{2}{*}\begin{array}{l} \text { Need glasses for } \\ \text { correct vision } \end{array} & \text { Yes } & 0.41 & 0.15 \\ \hline & \text { No } & 0.04 & 0.40 \\ \hline \end{array}$$ a) Find the probability that a randomly chosen young person from this group (i) is judged to need glasses (ii) needs to use glasses but does not use them. b) From those who are judged to need glasses, what is the probability that he she does not use them? c) Are the events of using and needing glasses independent?
Operations with events
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD