D Chapter 4 Homework 3 x ezto.mheducation.com/hm.tpx?--0.8215254204073837_150698
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D Chapter 4 Homework 3 x ezto.mheducation.com/hm.tpx?--0.8215254204073837_1506989033200 More and more households are struggling to pay utility bills given a shaky economy and high heating costs (The Wall Street Joumal, February 14, 2008). Particularly hard hit are households with homes heated with propane or heating oil. Many of these households are spending twice as much to stay warm this winter compared to those who heat with natural gas or electricity. A representative sample of 500 households was taken to investigate if the type of heating influences whether or not a household is delinquent in paying its utility bill. The following table reports the results Type of Heating Delinquent Natural in Payment? GasElectricityOPropane Heating Yes 0 50 240 20 130 15 20 10 15 Click here for the Excel Data File a. What is the probability that a randomly selected household uses heating oil? (Round your intermediate calculations and final answer to 4 decimal places) Probability b. What is the probability that a randomly selected household is delinquent in paying its utility bil? (Rouned your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the probability that a randomly selected household uses heating oil and is delinquent in paying its utility bill? (Round your intermediate calculations and final answer to 4 decimal places.)Explanation / Answer
Solution:-
a) The probability that a randomly selected households uses heating oil is 0.07.
Number of households uses heating oil = 15 + 20 = 35
Total number of households = 500
The probability that a randomly selected households uses heating oil = 35/500 = 0.07
b) The probability that a randomly selected households is deliquent in paying its utility bills is 0.19.
Number of households who are deliquent in paying its utility bills = 50 + 20 + 15 + 10 = 95
Total number of households = 500
The probability that a randomly selected households is deliquent in paying its utility bills = 95/500 = 0.19
c) The probability that a randomly selected households uses heating oil and deliquent in paying its utility bills is 0.03.
Number of households uses heating oil and deliquent in paying its utility bills = 15
Total number of households = 500
The probability that a randomly selected households uses heating oil and deliquent in paying its utility bills = 15/500 = 0.03
d) Given that a household ues heating oil, the probability that it is deliquent in paying it's utility bill is 0.4286.
Number of households uses heating oil and deliquent in paying its utility bills = 15
Number of households uses heating oil = 15 + 20 = 35
Given that a household ues heating oil, the probability that it is deliquent in paying it's utility bill = 15/35 = 0.4286.
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