20% of memory chips made in a certain plant are defective.

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SUMMARY

The discussion focuses on calculating the probabilities of defective memory chips produced in a plant where 20% are known to be defective. Using a sample size of 100 chips, the mean is determined to be 20, with a standard deviation of 4. The probability of finding at most 15 defective chips is calculated using the normal approximation of binomial probabilities, yielding a result of 0.1056. The calculation for exactly 15 defective chips remains unresolved in the discussion.

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Problem : 20% of memory chips made in a certain plant are defective.Find the probability that in a lot of 100 randomly chosen for inspection
i) atmost 15 are defective
ii) excatly 15 are defective.
Obtain these probability using normal approximation of binomial probabilities.
Solution

Here mean = np = 100 * 0.2 = 20
S.D. = 4

there P(Z >= 15-20/4) = 0.5 - 0.3944 = 0.1056 [IS THIS CORRECT][/color]

ii) ?
 
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