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2. A wireless call can be classified as either a voice call (someone speaking) o

ID: 3068046 • Letter: 2

Question

2. A wireless call can be classified as either a voice call (someone speaking) or a data call if it carries text, picture, etc. A call is classified as long if it is over 3 minutes. A call less than 3 minutes is considered brief. 70% of all calls are voice calls, 60% are long calls. 35% of all calls are long voice calls. 8% of all calls are unintentionally dropped by the cellular service. a) List all events of interest that are mentioned in the problem statement above. Label each b) c) event clearly. What is the probability that a call is a long data call? What is the probability that a call will be either long or data?

Explanation / Answer

Ans:

a)From above data:

P(voice)=0.7

P(data)=1-0.7=0.3

P(long)=0.6

P(long and voice)=0.35

P(dropped)=0.08

b)

P(long data call)=P(long and data)

We know that

P(long)=P(long and voice)+P(long and data)

0.6=0.35+P(long and data)

P(long and data)=0.6-0.35=0.25

c)

P(long or data)=P(long)+P(data)-P(long and data)

P(long or data)=0.6+0.3-0.25=0.65