ECON114 APPLICATIONS FOR CONTINUOUS (NORMAL) PROBABILITY DISTRIBUTION
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ECON114
APPLICATIONS FOR CONTINUOUS (NORMAL) PROBABILITY DISTRIBUTION
1. A bank manager has determined from experience that the time required for a security guard to make his rounds in a bank building is a random variable having an approximately normal distribution with mean = 18.0 minutes and standard deviation = 3.2 minutes. What are the probabilities that a security guard will complete his rounds ofthe bank building in (a) less than 15 minutes, (b) 15 to
20 minutes and (c) more than 20 minutes. State your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
4. Do you need to apply the correction of
continuity?
2. The owner of an automobile towing service company knows that the number of towing service calls the company makes each day is a random variable having approximately a normal distribution with mean 36.2 and standard
deviation 5.1. What are the probabilities that in any given day the company will make (a) exactly 30 towing service calls and (b) at most 30 towing service calls. State your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
4. Do you need to apply the correction of
continuity?
3. A television station claims that its late evening news program regularly has 35 percent ofthe total viewing audience. Ifthis claim is correct, what is the probability that among 500 late evening viewers, more than 200 will be watching the station's news program? Use statistical table. Hence, state your conclusion.
1. Which type of variable, discrete or continuous?
2. What kinds of information provided?
3. Which probability method should be used?
2022-03-19