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1)

In a communication network , ninety eight precent of messages are transmitted with no error.If a random variable  X denotes the number of incorrectly transmitted messages , then the probability that atmost one message is transmitted incorrectly out of 500 messages sent, is


A) 11e10

B) e101e10

C) 10e10

D) 98e10

Answer:

Option A

Explanation:

Here,

 n=500 ,p=2%, q=98%

Required probability

 P(X1)=P(X=0)+P(X=1)

 =λ0eλ0!+λeλ1!

  P(X1)=eλ(1+λ)

 = e10(1+10)                   [λ=np=500×2100=10]

11e10