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The Probability that a Student Entering a University Will Graduate is 0.4. Find the Probability that Out of 3 Students of the University Only One Will Graduate . - Mathematics

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Question

The probability that a student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university only one will graduate .

Sum

Solution

Let X be the number of students that graduate from among 3 students.
Let p=probability that a student entering a university  will graduate.

Here , n =3, p=0.4 and q = 0.6
Hence, the distribution is given by

\[P(X = r) =^{3}{}{C}_r \left( 0 . 4 \right)^r \left( 0 . 6 \right)^{3 - r} , r = 0, 1, 2, 3\]
\[  P(X = 1) = 3(0 . 4)(0 . 36) = 0 . 432\]
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Chapter 33: Binomial Distribution - Exercise 33.1 [Page 14]

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RD Sharma Mathematics [English] Class 12
Chapter 33 Binomial Distribution
Exercise 33.1 | Q 39.2 | Page 14

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