"If something can go wrong, it will go wrong." This funny saying is called Murphy's law. Let's interpret this to mean "If something can go wrong, there is a very high probability that it will eventually go wrong."Suppose we look at the event of having an automobile accident at some time during a day's commute. Let's assume that the probability of having an accident on a given day is 1 in a thousand or 0.001. That is, in your town, one of every thousand cars on a given day is involved in an accident (including little fender-benders). We also assume that having (or not having) an accident on a given day is independent of having (or not having) an accident on any other given day. Suppose you commute 43 weeks per year, 5 days a week, for a total of 215 days each year. In the following parts, write each probability in decimal form rounded to three places. (a) What is the probability that you have no accident over a year's time? (b) What is the probability that you have at least one accident over a one-year period? (c) Repeat part (a) for a 10-year period and for a 30-year period. 10-year period 30-year period Repeat part (b) for a 10-year period and for a 30-year period.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
"If something can go wrong, it will go wrong." This funny saying is called Murphy's law. Let's interpret this to mean "If something can go wrong, there is a very high probability that it will eventually go wrong."
Suppose we look at the
(b) What is the probability that you have at least one accident over a one-year period?
(c) Repeat part (a) for a 10-year period and for a 30-year period.
| 10-year period | |
| 30-year period |
Repeat part (b) for a 10-year period and for a 30-year period.
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