Basic Exercises Applica 4.9 What is the probability distribution function of the

Question

Basic Exercises Applica 4.9 What is the probability distribution function of the 4.13 T1 number of heads when a fair coin is tossed once? 4.10 show the probability distribution function of the face values of a single die when a fair die is rolled. 4.11 show the probability distribution function of the number of heads when three fair coins are tossed independently. 4.12 Let the random variable represent the number of times that you will miss class this semester. Prepare a table that shows the probability distribution and the cumu lative probability distribution.

Explanation / Answer

a. The cumulative probability distribution is a sfollows:

b. P(Y>=5)=P(Y=5)+P(Y=6)+P(Y=7)+P(Y=8)+P(Y=9)=0.08+0.10+0.12+0.08+0.10=0.48 (ans)

c. P(3<=Y<=7)=P(Y=3)+P(Y=4)+P(Y=5)+P(Y=6)+P(Y=7)=0.15+0.12+0.08+0.10+0.12=0.57 (ans)

Outcome Y<0 0<=Y<4 4<=Y<8 Y>8 Cumulative probability 0 0.4 0.42 1

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