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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

The Probability of Defective Bolts in a Workshop is 40%. Find the Mean and Variance of Defective Bolts Out of 10 Bolts. - Mathematics and Statistics

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प्रश्न

The probability of defective bolts in a workshop is 40%. Find the mean and variance of defective bolts out of 10 bolts.

बेरीज
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उत्तर

Let X denote the number of defective bolts.

p = probability of defective bolts.
p = 40%
p = `40/100` = 0.4
q = 1 -p = 0.6
Here n = 10
E (X) = np
        = 10 x 0.4
        = 4

V(X) = npq
       = 4 x 0.6
       = 2.4

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2016-2017 (July) Set 1

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