A lot of 100 bulbs contains 10 defective bulbs. Five bulbs selected at random from the lot and sent to retail store, then the probability that the store will receive at most one defective bulb is

Step-by-step solution

Probability of finding defective bulb = 10 100 =0.1 Let p =0.1 1=0.9 We have n =5 and to get required probability x =0 and x =1 aligned & P = ^5 C ₀(0.1)^2(0.9)^5+ ^5 C ₁(0.1)^1(0.9)^4 & (0.9)^5+(5)(0.1)(0.9)^4 & =(0.9)^4[0.9+0.5]=(0.9)₄(1.4) & =(0.81)(0.81)(1.4)=(0.6561)(1.4)=0.91854 aligned