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 The person wears only contacts or only glasses. The person is male or wears both contacts and glasses. The person is female or wears neither contacts nor glasses.
Added by Geoffrey V.
Step 1
- Number of people wearing only contacts: 253 - Number of people wearing only glasses: 545 - Total sample population: 3203 - Probability = (253 + 545) / 3203 = 798 / 3203 Show more…
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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.
A survey classified a large number of adults according to whether they were diagnosed as needing eyeglasses to correct their reading vision and whether they use eye glasses when reading. The proportions falling into the four resulting categories are given in the following table: If a single adult is selected from the large group, find the probabilities of the events defined below. The adult a. needs glasses. b. needs glasses but does not use them. c. uses glasses whether the glasses are needed or not.
A Probabilistic Model for an Experiment: The Discrete Case
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