RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 33. Binomial Distribution

Subject: Maths - Class 12th

Q. No. 8 of Exercise 33.2

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8

If the probability of a defective bolt is 0.1, find the (i) mean and (ii) standard deviation for the distribution of bolts in a total of 400 bolts.

Let p = probability of selecting defective bolt, so


p = 0.1



q = 1 – p




Given, n = 400,


(i) mean = np




(ii) Standard deviation =


=


=


Standard deviation = 6


So, mean = 40, standard deviation = 6


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