1.3.6 There are two types of cellular phones, handheld phones (H) that you carry

Question

1.3.6 There are two types of cellular phones, handheld phones (H) that you carry and mobile phones (M) that are mounted in vehicles. Phone calls can be classified by the traveling speed of the user as fast (F) or slow (W). Monitor a cellular phone call and observe the type of telephone and the speed of the user. The probability model for this experiment has the follow- ing information: PF0.5, P[HF 0.2, PlMW] 0.1. What is the sample space of the experiment? Find the following prob bilities Piw], PiM F, and PH a-

Explanation / Answer

The sample space is S = {HF, HW, MF, MW}

a)

P(W)+P(F) =1

P(W) =1-P(F) = 1-0.5 =0.5

b) P(MF) = P(F) -P(HF) =0.5-0.2 =0.3

c)

since the probabilities must sum to 1,

P [HW] = 1 P [HF] P [MF] P [MW] = 1 0.2 0.3 0.1 = 0.4.

P(H) =P(HF)+P(HW) =0.2+0.4 = 0.6

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