Which of the following situations involve a continuous random variable? There ma

Question

Which of the following situations involve a continuous random variable? There may be more than one. Do not solve any of them.

A) 500 people were surveyed on the number of computers they have in their home. 87 reported having more than 3, 152 reported having 3, 122 reported having 2, 96 reported having 1, 25 reported having 0, and 18 did not report. If three of the surveyed people are selected at random, what is the probability of one of them having no computer at home?

B) The average rainfall in Connecticut during the month of November is 4.53 inches. Assuming November rainfall in Connecticut is normally distributed and there is a 50% chance of less than 3.5 inches of rain, estimate the standard deviation.

C) Southwest flight 1533 from Bradley International Airport to Baltimore-Washington International Airport has an average flight time of 1.137 hours with a standard deviation of 5.212 minutes. What is the probability flight 1533 will last between 1.1 and 1.2 hours?

D) An experiment consists of rolling 10 dice and averaging the numbers rolled. What is the probability this average will be greater than 5?

Explanation / Answer

A)Here since the random variable is the number of people which are discrete and occur in integers it is not a continuous random variable.

B) The average rainfall is a random variable where average rainfall can take all the values hence it is a continuous random variable.

C) As stated in B time also is a continuous random variable as it can take all the values.

D)It is not a continuous random variable as averaging the no of rolls which is 10 does not take all values in real numbers.

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