Question

in a popular day care center, the probability that a child will play with the computer is 0.15; the probability that he or she will play dress - up is 0.29; play with blocks, 0.21; and paint, 0.35. construct the probability distribution for this discrete random variable.

x\tcomputer\tdress - up\tblocks\tpaint
p(x)\t\t\t\t

Explanation:

Step1: Identify probabilities for each activity

The probability of playing with computer $P(X = \text{Computer})=0.15$, playing dress - up $P(X = \text{Dress - up}) = 0.29$, playing with blocks $P(X=\text{Blocks})=0.21$, and painting $P(X=\text{Paint})=0.35$.

Answer:

X	Computer	Dress - up	Blocks	Paint