Higher Engineering Mathematics, Sixth Edition
542 Higher Engineering Mathematics The mean value is obtained by adding together the values of the members of the set and dividi ...
Measures of central tendency and dispersion 543 where fis the class frequency andxis the class mid- point value. Hence mean valu ...
544 Higher Engineering Mathematics Now try the following exercise Exercise 208 Further problems on mean, median and mode for gro ...
Measures of central tendency and dispersion 545 The arithmetic mean, x= ∑ x n = 5 + 6 + 8 + 4 + 10 + 3 6 = 6 Standard deviation, ...
546 Higher Engineering Mathematics The tensile strength in megapascals for 15 samples of tin were determined and found to be: ...
Measures of central tendency and dispersion 547 25 Cumulative frequency 10 40 30 20 50 30 35 Q 140 Q 245 Q 3 Upper class boundar ...
Chapter 56 Probability 56.1 Introduction to probability Theprobabilityof something happening is the likeli- hood or chance of it ...
Probability 549 56.2 Laws of probability The addition law of probability The addition law of probability is recognized by the wo ...
550 Higher Engineering Mathematics LetpAbe the probability of failure due to excessive temperature, then pA= 1 20 and pA= 19 20 ...
Probability 551 (a) Find the probability of having a 2 upwards when throwing a fair 6-sided dice. (b) Find the probability of h ...
552 Higher Engineering Mathematics Hence, probability of having one defective compo- nent is: 1 8 × 7 8 + 7 8 × 1 8 i.e. 7 64 + ...
Probability 553 B a steel washer and C an aluminium washer, then the combinations and their probabilities are as shown: Draw Pro ...
Revision Test 16 This Revision Test covers the material contained in Chapters 54 to 56.The marks for each question are shown in ...
Revision Test 16 555 operatingconditionsandtheremaindergivetoolow again. Calculate the probability that when drawing two transis ...
Chapter 57 The binomial and Poisson distributions 57.1 The binomial distribution The binomial distributiondeals with two numbers ...
The binomial and Poisson distributions 557 (Alternatively, the probability of having at least 1girlis:1−(theprobabilityofhavingn ...
558 Higher Engineering Mathematics (b) To determine the probability that more than two bolts are defective, the sum of the proba ...
The binomial and Poisson distributions 559 Now try the following exercise Exercise 213 Further problems on the binomial distribu ...
560 Higher Engineering Mathematics taken from left to right, i.e. by e−λ,λe−λ, λ^2 e−λ 2! ,... Thus probability of no defective ...
The binomial and Poisson distributions 561 0.28 0.24 Probability of having an accident 0.20 0.16 0.12 0.08 0.04 (^0012345) Numbe ...
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