in a survey, 100 people were asked how many car accidents they had in the past year. the estimated…

in a survey, 100 people were asked how many car accidents they had in the past year. the estimated probability distribution for the number of accidents is shown in the table. using the data from the table, what is the probability of having exactly 1 accident in a year? the probability of having less than 3 accidents in a year is

in a survey, 100 people were asked how many car accidents they had in the past year. the estimated probability distribution for the number of accidents is shown in the table. using the data from the table, what is the probability of having exactly 1 accident in a year? the probability of having less than 3 accidents in a year is

Answer

Explanation:

Step1: Identify relevant probabilities

We want the probability of having less than 3 accidents. So we need to sum the probabilities of having 0, 1, and 2 accidents.

Step2: Sum the probabilities

$P(X < 3)=P(X = 0)+P(X = 1)+P(X = 2)$ $P(X = 0)=0.905$, $P(X = 1)=0.080$, $P(X = 2)=0.010$ $P(X < 3)=0.905 + 0.080+0.010$ $P(X < 3)=0.995$

Answer:

$0.995$