TS EAMCET · Maths · Probability
In a communication network, ninety-eight percent of messages are transmitted with no error. If a random variable denotes the number of incorrectly transmitted messages, then the probability that atmost one message is transmitted incorrectly out of 500 messages sent, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
n=500, q=98%=98100 Also, p+q=1 ⇒p=2100 P(r≤1)=P(r=0)+P(r=1) As per Poisson's distribution, P(X=r)=λxe-λX! Now, P(r≤1)=λ0e-λ0!+λ1e-λ1! =e-λ(1+λ) Also, λ=np=500×2100=10 So, P(r≤1)=e-10·(1+10)=11e10
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