Math  /  Data & Statistics

QuestionThe chart shows the probability of a certain disease for men by age. Use the information to solve the problem. Express all probabilities as decimals, estimated to two decimal places. \begin{tabular}{cc} Age & \begin{tabular}{c} Probability of Disease X \\ 202420-24 \end{tabular} \\ \begin{tabular}{cc} less than 0.008 \\ 253425-34 & 0.009 \\ 354435-44 & 0.14 \\ 455445-54 & 0.39 \\ 556455-64 & 0.42 \\ 657465-74 & 0.67 \\ 75+75+ & 0.79 \end{tabular}. \end{tabular}
What is the probability that a randomly selected man between the ages of 55 and 64 does not have this disease? A. 0.42 B. 0.39 C. 0.61

Studdy Solution
Use the complement rule to find the probability of not having the disease:
P(No Disease)=1P(Disease) P(\text{No Disease}) = 1 - P(\text{Disease})
P(No Disease)=10.42 P(\text{No Disease}) = 1 - 0.42
P(No Disease)=0.58 P(\text{No Disease}) = 0.58
The probability that a randomly selected man between the ages of 55 and 64 does not have the disease is:
0.58 \boxed{0.58}

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