Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time it takes for a light bulb to burn outtime it takes for a light bulb to burn out b. The number of people with blood type Upper A in a random sample of 16 peoplenumber of people with blood type A in a random sample of 16 people c. The gender of college studentsgender of college students d. The time it takes to fly from City Upper A to City Upper Btime it takes to fly from City A to City B e. The distance a baseball travels in the air after being hitdistance a baseball travels in the air after being hit f. The number of people in a restaurant that has a capacity of 300

Question

Leroy Horne

Mathematics

13 January, 01:46

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time it takes for a light bulb to burn outtime it takes for a light bulb to burn out b. The number of people with blood type Upper A in a random sample of 16 peoplenumber of people with blood type A in a random sample of 16 people c. The gender of college studentsgender of college students d. The time it takes to fly from City Upper A to City Upper Btime it takes to fly from City A to City B e. The distance a baseball travels in the air after being hitdistance a baseball travels in the air after being hit f. The number of people in a restaurant that has a capacity of 300

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Karsyn Montgomery · Answer 1

a) continuous random variable

b) discrete random variable

c) neither continuous nor discrete.

d) continuous random variable

e) continuous random variable

f) discrete random variable

Step-by-step explanation:

Continuous Random Variable:

A continuous variable is one which can take on an uncountable set of values. It may take any values within an interval. It can take infinite values within an interval. They are obtained by measuring rather than counting.

Discrete Random Variable:

These can only take discrete value and cannot be expressed in the form of decimals. They are obtained by counting rather than measuring.

a) The time it takes for a light bulb to burn out

Time is a continuous random variable. Thus, it is a continuous variable.

b) The number of people with blood type Upper A in a random sample of 16 people.

Since the number of people cannot be expressed as decimals, thus it is a discrete random variable.

c) The gender of college students.

Gender is categorical data. It is neither continuous nor discrete.

d) The time it takes to fly from City Upper A to City Upper B

Time is a continuous random variable. Thus, it is a continuous variable.

e) The distance a baseball travels in the air after being hit

Distance is measured and thus it is a continuous random variable.

f) The number of people in a restaurant that has a capacity of 300

Since the number of people cannot be expressed as decimals, thus it is a discrete random variable.