# SOLUTION: Question: A battery is defective with probability 0.3. What is the probability that in a pack of 8 batteries: 1) Exactly 2 are defective 2) At most 2 are defective? (hintL a

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Question: A battery is defective with probability 0.3. What is the probability that in a pack of 8 batteries: 1) Exactly 2 are defective 2) At most 2 are defective? (hintL a      Log On

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 Question 472041: Question: A battery is defective with probability 0.3. What is the probability that in a pack of 8 batteries: 1) Exactly 2 are defective 2) At most 2 are defective? (hintL at most = less than or equal to) 3) More than 2 are defective? 4) What is the expected number of defective batteries in the 8-pack? 5) What is the standard deviation of the number of defective batteries in the 8-pack?Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!n=8, p=.3, q=.7 . 4)E(x)=np=8*.3=2.4 . 5) . 1) nCr=8C2=28 coefficient 28*p^2*q^6=.2965 . Ed