A certain manufacturing process yields electrical fuses, of which, in the long run, 15 are defective. Find the probability that in a sample of 10 fuses selected at random there will be
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A certain manufacturing process yields electrical fuses of which, in the long run, 15% are defective. What is the probability that in a sample of 10 fuses selected at random there will be: (a) no defectives, or (b) at least one defective?
Probability of no defectives will be - 0.196.
Probability of at least one defective will be = 0.80.
Probability of defective fuse in overall manufacturing is 0.15.
Probability of correct fuse in overall manufacturing will, hence be, 1-0.15
= 0.85.
Now, probability of no defectives, in 10 samples will be calculated by -
0.85^10
Probability of no defectives will be - 0.196.
Probability of at least one defective will be = 1 - (0.85^10)
= 0.80.
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