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142 solve finding empirical probabilities a survey asked u.s. adults ho…

Question

142 solve finding empirical probabilities a survey asked u.s. adults how many tattoos they have. the frequency distribution at the left shows the results. in exercises 47 and 48, use the frequency distribution. (source: ipsos) 47. what is the probability that the next person asked does not have a tattoo? 48. what is the probability that the next person asked has two tattoos? table for exercises 47 and 48 (table: response - none (704), one (131), two (57), three (34), four or more (79))

Explanation:

Step1: Calculate total responses

Sum all frequencies: $704 + 131 + 57 + 34 + 79 = 1005$

Step2: Solve Exercise 47

Probability = (No tattoo frequency)/Total: $\frac{704}{1005} \approx 0.700$

Step3: Solve Exercise 48

Probability = (Two tattoos frequency)/Total: $\frac{57}{1005} = 0.057$

Answer:

Exercise 47: $\frac{704}{1005}$ (or approximately 0.700)
Exercise 48: $\frac{57}{1005}$ (or 0.057)