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Example 3.16 Cell Phone Features (Multiplication Rule) When the conditional probability of text messaging given photo capability, 0.65 P(AB) - 0.8125 0.80 is multiplied by the probability of photo capability, we have the joint probability of both messaging and photo capability: P(ANB) - (0.8125)(0.80) 0.65 In the following example we see an interesting application of the multiplication rule of probabilities. We also lie together some ideas introduced previously Example 3.17 Sensitive Questions (Multiplication Rule) Suppose that a survey was carried out in New York, and each respondent was faced with the following two questions a. Is the last digit of your Social Security number odd? b. Have you ever lied on an employment application The second question is, of course, quite sensitive and for various reasons we might 975 their response were yes to overcome the potential bas respondents were asked to flip a coin and then to answer question at the result was "head and answer (b) oth crwise A Yes FONDOC W given by 37 of all respondents What is the probability Zoom: Address Links Desktop Local Disk@:)