A company specializes in installing and servicing central-heating furnaces. In the prewinter period, service calls may result in an order for a new furnace. The following table shows estimated probabilities for the numbers of new furnace orders generated in this way in the last two weeks of September.Number of orders 0 1 2 3 4 5Probability 0.10 0.14 0.26 0.28 0.15 0.07a. Graph the probability distribution function.b. Calculate and graph the cumulative probability distribution.c. Find the probability that at least 3 orders will be generated in this period.d. Find the mean of the number of orders for new furnaces in this 2-week period.e. Find the standard deviation of the number of orders for new furnaces in this 2-week 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.
A company specializes in installing and servicing central-heating furnaces. In the prewinter period, service calls may result in an order for a new furnace. The following table shows estimated probabilities for the numbers of new furnace orders generated in this way in the last two weeks of September.
Number of orders 0 1 2 3 4 5
a. Graph the
b. Calculate and graph the cumulative probability distribution.
c. Find the probability that at least 3 orders will be generated in this period.
d. Find the mean of the number of orders for new furnaces in this 2-week period.
e. Find the standard deviation of the number of orders for new furnaces in this 2-week period.
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