For each probability and percentile problem, draw the picture. Suppose that the useful life of a particular car battery, measured in months, decays with parameter 0.02. We are interested in the life of the battery. (1) Give the distribution of X. X~ ________ (________) (2) On average, how long would you expect one car battery to last? _______months (3) On average, how long would you expect 8 car batteries to last, if they are used one after another? _______ months (4) Find the probability that a car battery lasts more than 36 months. (Round your answer to four decimal places.) (5) 60% of the batteries last at least how long? (Round your answer to two decimal places.)
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.
For each
Suppose that the useful life of a particular car battery, measured in months, decays with parameter 0.02. We are interested in the life of the battery.
(1) Give the distribution of X.
X~ ________ (________)
(2) On average, how long would you expect one car battery to last? _______months
(3) On average, how long would you expect 8 car batteries to last, if they are used one after another? _______ months
(4) Find the probability that a car battery lasts more than 36 months. (Round your answer to four decimal places.)
(5) 60% of the batteries last at least how long? (Round your answer to two decimal places.)
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