Your company has installed a large-area sensing network to manage a chemical plant. in this network, the probability that a message will fail to reach the base station is 0.005. if 2500 messages are sent per day, answer the following questions: (a)what is the probability that fewer than 2485 messages reach the base station? (b)-what is the probability that 7 of the messages fail to reach the base station?

a)P= 0.139

b)P(7)= 0.0352

Explanation:

Given that

Number of messages per day ,n=  2500

The probability that a message will fail,p=0.005

Here n is much much larger than the P that is why we will use Poisson distribution

In Poisson distribution

Mean ,λ= n  p

λ= 2500 x 0.005

λ=12.5

a)

The probability that fewer than 2485 messages reach the base station =P

P= 1 - (P(0)+P(1)+P(2) ----------+P(15))

By  solving this

P= 0.139

b)

The probability that 7 of the messages fail to reach the base station=P(7)

P(7)= 0.0352

answer:

50 vo; ts

explanation:

answer:

a

hope this give me a and brainliest