Determine whether the random variable is discrete or continuous. In each case, s

Question

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of people with blood type A in a random sample of 19 people. (b) The time it takes for a light bulb to burn out. (a) Is the number of people with blood type A in a random sample of 19 people discrete or continuous? A. The random variable is continuous. The possible values are x = 0, 1, 2, ..., 19. B. The random variable is discrete. The possible values are 0 lessthanorequalto x le19. C. The random variable is discrete. The possible values are x = 0, 1, 2, ..., 19. D. The random variable is continuous. The possible values are 0 lessthanorequalto x lessthanorequalto 19. (b) Is the time it takes for a light bulb to burn out discrete or continuous? A. The random variable is continuous. The possible values are t = 1, 2, 3, .... B. The random variable is continuous. The possible values are t > 0. C. The random variable is discrete. The possible values are t = 1, 2, 3, ...... D. The random variable is discrete. The possible values are t > 0.

Explanation / Answer

question A

discret random variable

answer is C.

FINITE NUMBER

A type of data is discrete if there are only a finite number of values possible or if there is a space on the number line between each 2 possible values.

Collection of values that is finite or countable.
A discrete variable is a variable whose value is obtained by counting.
EX:
-The number of runs scored during a baseball game
-Number of hits a website gets during a week
-Number of light bulbs that burn out in the next year in a room with 13 bulbs
-Number of pigeons in a city
-Number of free-throw attempts before the first shot is missed

B)

continous random variable

answer is A.

continous,infinite many values

Continuous data makes up the rest of numerical data. This is a type of data that is usually associated with some sort of physical measurement.

Ex. The length of time it takes for a light bulb to burn out is an example of continuous data. Could it take 800 hours? How about 800.7? 800.7354? The answer to all 3 is yes.

The numerical data that we will use in this course falls into 1 of 2 categories : discrete and continuous.

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