Question 1:

Let the random variable X = the number of motor vehicle accidents per student in one year. Find the mean and standard deviation of the probability distribution, and interpret the value of the mean in the context of the real-life situation. X 0 1 2 3 4 5 Probability 0.15 0.29 0.25 0.18 0.10 0.03\fAfter many, many accidents the average outcome will be 0.167 accidents per year After many, many accidents the average outcome will be 1.31 accidents per year. After many, many accidents the average outcome will be 1.88 accidents per year. After many, many accidents the average outcome will be 2.5 accidents per year. Outcomes will typically vary from the mean by about 0.167 accidents per year. Outcomes will typically vary from the mean by about 1.31 accidents per year. Outcomes will typically vary from the mean by about 1.88 Outcomes will typically vary from the mean by about 2.5