a) A fair die is rolled ten times and each time the face up is recorded. Let X be the number of times a number less than 3 has been recorded. b) In recent years, it was found that the average number of earthquakes that occur in a given year in a particular country is 3. Let X be the number of earthquakes that occur in any given year in that country. =) The average length of time until the next customer enters a bank is 3 minutes. Let X be the length of time until the next customer enters the bank. Mean Variance State Space Part Distribution Name a) b) c)

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Problem 11
In what follows, describe the random variable X by providing the name of its distribution, its state space, its
mean and its variance. Fill in the table below with your answers.
a) A fair die is rolled ten times and each time the face up is recorded. Let X be the number of times a number less
than 3 has been recorded.
b) In recent years, it was found that the average number of earthquakes that occur in a given year in a particular
country is 3. Let X be the number of earthquakes that occur in any given year in that country.
c) The average length of time until the next customer enters a bank is 3 minutes. Let X be the length of time until
the next customer enters the bank.
Mean
Variance
State Space
Part
Distribution Name
a)
b)
c)
Transcribed Image Text:Problem 11 In what follows, describe the random variable X by providing the name of its distribution, its state space, its mean and its variance. Fill in the table below with your answers. a) A fair die is rolled ten times and each time the face up is recorded. Let X be the number of times a number less than 3 has been recorded. b) In recent years, it was found that the average number of earthquakes that occur in a given year in a particular country is 3. Let X be the number of earthquakes that occur in any given year in that country. c) The average length of time until the next customer enters a bank is 3 minutes. Let X be the length of time until the next customer enters the bank. Mean Variance State Space Part Distribution Name a) b) c)
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