Part #1 Probability of(iettineStrickbyLightning Over the last 10 years, an avera
ID: 3216350 • Letter: P
Question
Part #1 Probability of(iettineStrickbyLightning Over the last 10 years, an average of 27 people per year have been struck and killed by lightning. It is estimated that only 10% of those who are struck are killed by lightning. Using the following information, answer these questions below. (Show all your work) Information: US Population 325,700,000 people 27 10-year average number of people being struck and killed by lightning each year in the US Lightning fatality rate = 10% The probability of two independent events occurring can be calculat of ea (this means that of every 10 people struck, only one will die from the strike). ed by taking product of the probability ch independent event. For example, the probability of events "A" and "B" both occurring can be found by multiplying the probability of event A and the probability of event B. PA and B) - P(A) P(B) 1. 2. 3. What is the probability of you being struck by lightning this year? What is the probability of you being killed by lightning this year? What is the probability of you and your best friend both being struck by lightning this year? ssume the average lifetime of a US citizen is 86 years. What is the probability that this person will be struck by lightning over their lifetime? 4. A at is the probability of his person being killed by lightning over their lifetime? Compare that probability to the winning the grand prize of S25,000 on a $I scratch-off lottery ticket which is 1:4,000,000 5. WhaExplanation / Answer
Solved the first four problem as per Chegg guidelines, post multiple question to get the remaining answers
1) Total number of people in US = 325,700,000
Number of people killed by lightning = 27 = Number of people with strucked lightning * P(person will be killed on lightning struck)
Number pf people struck by lightning this year = 270
Probability = Number pf people struck by lightning this year/US population
=> 270/325700000
=> 8.289 * 10^(-7)
2)
Probability of getting killed by lightning = 27/325700000 = 8.289 * 10^(-8)
3)
Probabibility of you and your best friend stuck = (270/325700000)^2 = 6.872 * 10^(-13)
4)
Porbability that this person will be struck by lighting over their lifetime = 86 * 8.289 * 10^(-7) = 7.12 * 10^(-5)