1. An experimentconsists of making 80 telephone calls in order to sell a particu
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Question
1. An experimentconsists of making 80 telephone calls in order to sell a particularinsurance policy. (a) What is the random variable?(b) What values can the random variable take?(c) Is the random variable discrete orcontinuous?
2. An experimentconsists of determining the speed of automobiles on a highway bythe use of radar equipment. (a) What is the randomvariable? (b) What values can the random variabletake? (c) Is the random variable discrete orcontinuous?
3. Write anexperiment in which the random variable is discrete and anotherexperiment in which the random variable is continuous. Identify therandom variable in each, and give the values that the randomvariable can take.
Explanation / Answer
1) (a) The radom variable is X = 80.(b) the random variable can take thenumerical values 0,1,2,....,80 (c) This is a count, so therandom variable is discrete. 2) (a) The random variable is the speed of auto mobiles on ahighway by the use of random eperiment. (b) The random variable can take anyvalue from 0 to the speed of automobiles on a highway. (c) Speed can take any value so thisis a continuous random variable. 3) For instance, the number of students in a certain sectionof a statistics course this term is a discrete random variable.Thevalue must be a counting number. For example, the air pressure in an automobile tire representsa continuous random variable.The air pressure can take on any valuefrom 0lb/in2 to the bursting pressure of the tire.
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