Higher Engineering Mathematics

542 STATISTICS AND PROBABILITY Hence,standard deviation, σ= √{∑ (x−x)^2 n } = √ 5. 6 =2.380, correct to 4 significant figures (b ...

MEASURES OF CENTRAL TENDENCY AND DISPERSION 543 J heights of the 100 people given in Problem 1 of Exercise 209, page 540. [9.394 ...

544 STATISTICS AND PROBABILITY The set is ranked, giving: 71415171719202121222223 24 26 27 28 29 30 32 37 (a) There are 20 numbe ...

J Statistics and probability 56 Probability 56.1 Introduction to probability The probability of something happening is the likel ...

546 STATISTICS AND PROBABILITY eventBhappening is given bypA+pB(provided eventsAandBaremutually exclusive, i.e.Aand Bare events ...

PROBABILITY 547 J LetpAbe the probability of failure due to excessive temperature, then pA= 1 20 andpA= 19 20 (wherepAis the pro ...

548 STATISTICS AND PROBABILITY (a) Find the probability of having a 2 upwards when throwing a fair 6-sided dice. (b) Find the p ...

PROBABILITY 549 J Hence, probability of having one defective compo- nent is: 1 8 × 7 8 + 7 8 × 1 8 i.e. 7 64 + 7 64 = 7 32 or 0. ...

550 STATISTICS AND PROBABILITY Thus there are six possible ways of achieving the combinations specified. If A represents a brass ...

Assign-15-H8152.tex 23/6/2006 15: 14 Page 551 J Statistics and probability Assignment 15 This assignment covers the material con ...

Assign-15-H8152.tex 23/6/2006 15: 14 Page 552 552 STATISTICS AND PROBABILITY operating conditions and the remainder give too low ...

J Statistics and probability 57 The binomial and Poisson distributions 57.1 The binomial distribution The binomial distribution ...

554 STATISTICS AND PROBABILITY Letqbe the probability of not having a 4 upwards. Then q= 5 /6. The probabilities of having a 4 u ...

THE BINOMIAL AND POISSON DISTRIBUTIONS 555 J The probability of there being 0, 1, 2,...,6 damaged components is given by the suc ...

556 STATISTICS AND PROBABILITY (b) three employees will be absent on a particular day. [(a) 0.7514 (b) 0.0019] A manufacturer e ...

THE BINOMIAL AND POISSON DISTRIBUTIONS 557 J of having 0, 1, and 2 defective gearwheels), i.e. 1 −(0. 0907 + 0. 2177 + 0 .2613), ...

558 STATISTICS AND PROBABILITY 0123456 Number of people 0.04 0.08 0.12 0.16 0.20 0.24 0.28 Probability of having an accident 0 F ...

J Statistics and probability 58 The normal distribution 58.1 Introduction to the normal distribution When data is obtained, it c ...

560 STATISTICS AND PROBABILITY mathematical formulae books, and such a table is shown in Table 58.1, on page 561. Problem 1. The ...

THE NORMAL DISTRIBUTION 561 J Table 58.1 Partial areas under the standardized normal curve 0 z z= x−x σ 0123456789 0.0 0.0000 0. ...