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Chapter 7: Problem 21

According to data obtained from the National Weather Service, 376 of the 439 people killed by lightning in the United States between 1985 and 1992 were men. (Job and recreational habits of men make them more vulnerable to lightning.) Assuming that this trend holds in the future, what is the probability that a person killed by lightning a. Is a male? b. Is a female?

Short Answer

Expert verified
a. The probability that a person killed by lightning is male is approximately 0.856 or 85.6%. b. The probability that a person killed by lightning is female is approximately 0.144 or 14.4%.

Step by step solution

01

Calculate the probability of being a male killed by lightning

In this step, we'll find the probability of a person killed by lightning being male. To do this, we'll calculate the proportion of men killed by lightning over the total number of people killed by lightning. The formula for probability is: Probability (P) = (Number of favorable outcomes) / (Total number of outcomes) In this case, the number of favorable outcomes is the number of men killed by lightning (376), and the total number of outcomes is the total number of people killed by lightning (439). Using this information, we can calculate the probability of being a male killed by lightning. P(Male) = \( \frac{376}{439} \)
02

Calculate the probability of being a female killed by lightning

Now, we'll find the probability of a person killed by lightning being female. We can calculate the number of women killed by lightning by subtracting the number of men killed by lightning from the total number of people killed by lightning. Number of Women = Total Number of People - Number of Men Number of Women = 439 - 376 Next, we'll find the proportion of females killed by lightning over the total number of people killed by lightning. P(Female) = \( \frac{\text{Number of Women}}{439} \)
03

Solve the probabilities

Now, let's calculate the probabilities for being a male and female killed by lightning, using the equations we created in Steps 1 and 2. P(Male) = \( \frac{376}{439} \) To find the probability, we'll divide 376 by 439. P(Male) 鈮� 0.856 Next, we'll calculate the number of women killed by lightning. Number of Women = 439 - 376 Number of Women = 63 Now we can find the probability of being a female killed by lightning. P(Female) = \( \frac{63}{439} \) To find the probability, we'll divide 63 by 439. P(Female) 鈮� 0.144 So, the probabilities for a person killed by lightning are: a. Is a male? P(Male) 鈮� 0.856 or 85.6% b. Is a female? P(Female) 鈮� 0.144 or 14.4%

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