State whether each of the following random variables is continuous or discrete T

Question

State whether each of the following random variables is continuous or discrete The outcome associated with rolling a pair of dice The outcome resulting from measuring the voltage of a 12-v storage battery The outcome associated with randomly selecting a telephone number from the telephone directory The outcome resulting from weighing adult males Are the following functions probability density functions f_X(x) = 1/3 delta (x - 3) + 2/3 u(x - 1) - 2/3 u(x - 3/2) f_X(x) = 10[u(x) - u(x - 1)] - 9 delta (x - 2) f_X(x) = 1/4 e^-x + 3/2 [u(x - 20) - u(x - 20.5)] where u(x) is the unit step function

Explanation / Answer

Answering question 1

A) Rolling a pair of dice can give only integral outcomes like (1,2) ,(3,6) etc. Hence, Discrete

B) Voltage of a 12V battery is continuous and can take fractional/continuous values.

C)Discrete. Telephone numbers are integral .

D) Weight of adult males is continuous and can take fractional/continuous values. Hence,Continuous

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