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TS EAMCET · Maths · Probability

Face masks are supplied to a junior college in packets of 100. If there is a chance that 1 in 500 face mask is defective, then the number of packets containing no defective face masks in a consignment of 10,000 packets, is

  1. A 10,000e0.2
  2. B (10,000)e0.2
  3. C (10,000)e-0.02
  4. D (10,000)e0.0022!
Verified Solution

Answer & Solution

Correct Answer

(A) 10,000e0.2

Step-by-step Solution

Detailed explanation

The probability of getting a defective mask is p=1500 and the number of masks in a packet is 100. Using Poisson's distribution, we know that in a large sample, the probability of an event X to occur r times is PX=r=e-λλrr!, where λ=np. Here, we have…