Answer to Question #300681 in Statistics and Probability for Regine

Question

Observe yourself in a day. Find out how many hours you spend in the following activities: house chores, answering Self Learning Modules, planting/gardening, using social media like Facebook, messenger, tiktok, Instagram, and YouTube, listening to music, watching television, and sleeping. Record your data. Construct a probability distribution, then compute the mean (µ), variance (σ2), and standard deviation (σ) of the probability distribution that you made.

Answer 1

Mean of Probability Distribution-

$E(X)=\sum X.P(X)=4.6596$

Variance of Probability distribution-

$Var=E(X^2)-[E(X)]^2=26.265-(4.6596)^2=26.265-21.71=4.55$

Standard deviation of probability distribution-

$S.D.=\sqrt{Var}=\sqrt{4.55}=2.13$