1) Mobile telephones perform handoffs as they move from cell to cell. During a c

Question

1) Mobile telephones perform handoffs as they move from cell to cell. During a call a telephone either performs zero handoff (H0), or more than one handoff (H1). In addition, each call is either long (L), if it lasts more than three minutes, or brief (B). The following table describes the probability of the possible type of calls.

a) The value of a =

b) The probability that a phone performs zero handoffs =

c) The probability that a brief call will have no handoffs=

Explanation / Answer

Solution:

table :

( a )

tatal sum of the probabilities = 1

0.1+0.3+0.4 + a = 1

0.8 +a =1

a = 0.2

( b )

probability that a phone performs zero handoffs = 0.1 + 0.4 = 0.5

( c )

probability that a brief call will have no handoffs = 0.4

( d )

probability that a call with zero handoffs will be long = 0.1 / (0.1+0.4)

= 0.1 / 0.5

= 0.2

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