Paper 4: Fundamentals of Business Mathematics & Statistic

9.18 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Probability Example 23 : A problem in statistics is given to three st ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 9.19 Solution : (i) Favourable cases^7 C 4 , Exhaustive cases^12 C 4 Proba ...

9.20 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Probability Therefore the chance of the Compound event = =91 65 59151 ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 9.21 Example 30 : A class consists of 100 students, 25 of them are girls a ...

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10.1 THEORETICAL DISTRIBUTION Broadly speaking, the frequency distributions are of two types : Observed Frequency Distribution a ...

10.2 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution If a single coin is tossed, the outcomes are ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.3 PASCAL’S TRIANGLE (Showing coefficients of terms (p + q)n Value of n ...

10.4 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution (c) Probability of 6 heads = 660 60 6 1 11 0 ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.5 Example 3 : Four coins are tossed simultaneously. What is the probabi ...

10.6 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution 5511551 () 22 2 xx pX CxxC ⎛⎞⎛⎞ ⎛⎞− ==⎜⎜ ⎜⎜⎜ ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.7 p(x)= l0Cx(l/5)x(4/5)1–x (i) Probability that all 10 are defective is ...

10.8 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution Example 7 : The probability that an evening ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.9 P(10) = 12 10 2 10 11 C 22 ⎛⎞⎛⎞⎜⎜⎟⎟⎟⎟ ⎜⎜⎜⎜⎝⎠⎝⎠⎟⎟⎟⎟ P(11) = 12 11 11 1 ...

10.10 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution (b) probability of atleast 2 heads = l – P( ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.11 ... q = (^5) 0.5 10 npq np == p = 1 – q i.e., 1 – 0 = 0.5 ... np = 1 ...

10.12 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution Putting r = 0, 1, 2....n, we can get the ex ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.13 5 8 5 256 1 256 C ⎛⎞⎜ × ⎟⎟ ⎜⎜⎝⎠⎟⎟ 56 6 8 6 256 1 256 C ⎛⎞⎜ × ⎟⎟ ⎜⎜⎝⎠ ...

10.14 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Theoretical Distribution distribution as n moves towards infinity an ...

FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 10.15 p( 1 )= 11 11 11 1 11 1! 1! 2.7188 eee e −−− ==== p(0) + p(1) = 2.71 ...