Applied Statistics and Probability for Engineers
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 5, Problem 108SE

a.

To determine

Find the probability that the lifetimes of all the components exceed 5,000 hours.

b.

To determine

Find the probability that at least one component’s life time exceeds 25,000 hours.

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Chapter 5 Solutions

Applied Statistics and Probability for Engineers

Ch. 5.1 - 5-11. For the Transaction Processing Performance...Ch. 5.1 - 5-12. In the transmission of digital information,...Ch. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - 5-18. The conditional probability distribution of...Ch. 5.1 - Prob. 19ECh. 5.1 - 5-20. The time between surface finish problems in...Ch. 5.1 - 5-21. A popular clothing manufacturer receives...Ch. 5.1 - 5-22. The blade and the bearings are important...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - 5-25. Determine the value of c that makes fXYZ (x,...Ch. 5.1 - 5-26. The yield in pounds from a day’s production...Ch. 5.1 - 5-27. The weights of adobe bricks used for...Ch. 5.1 - 5-28. A manufacturer of electroluminescent lamps...Ch. 5.1 - 5-29. The lengths of the minor and major axes are...Ch. 5.1 - 5-30. An article in Health Economics [“Estimation...Ch. 5.1 - 5-31. An article in Clinical Infectious Diseases...Ch. 5.1 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - 5-44. Determine the covariance and correlation for...Ch. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.3 - 5-48. Test results from an electronic circuit...Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - 5-51. Four electronic ovens that were dropped...Ch. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - 5-54. In an acid-base titration, a base or acid is...Ch. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 58ECh. 5.3 - 5-59. If X and Y have a bivariate normal...Ch. 5.3 - 5-60. Show that the probability density function...Ch. 5.3 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - 5-63. X and Y are independent, normal random...Ch. 5.4 - 5-64. Suppose that the random variable X...Ch. 5.4 - 5-65. A plastic casing for a magnetic disk is...Ch. 5.4 - 5-66. Making handcrafted pottery generally takes...Ch. 5.4 - 5-67. In the manufacture of electroluminescent...Ch. 5.4 - 5-68. The width of a casing for a door is normally...Ch. 5.4 - 5-69. An article in Knee Surgery Sports...Ch. 5.4 - 5-70. An automated filling machine fills...Ch. 5.4 - 5-71. The photoresist thickness in semiconductor...Ch. 5.4 - 5-72. Assume that the weights of individuals are...Ch. 5.4 - 5-73. Weights of parts are normally distributed...Ch. 5.4 - Prob. 74ECh. 5.4 - Prob. 75ECh. 5.4 - Prob. 76ECh. 5.4 - Prob. 77ECh. 5.4 - Prob. 78ECh. 5.5 - 5-79. Suppose that X is a random variable with...Ch. 5.5 - 5-80. Let X be a binomial random variable with p =...Ch. 5.5 - 5-81. Suppose that X is a continuous random...Ch. 5.5 - 5-83. A random variable X has the probability...Ch. 5.5 - Prob. 84ECh. 5.5 - Prob. 85ECh. 5.5 - Prob. 86ECh. 5.5 - Prob. 87ECh. 5.5 - Prob. 88ECh. 5.5 - 5-89. The computational time of a statistical...Ch. 5.5 - Prob. 90ECh. 5.6 - Prob. 91ECh. 5.6 - Prob. 92ECh. 5.6 - 5-93. The geometric random variable X has...Ch. 5.6 - 5-94. The chi-squared random variable with k...Ch. 5.6 - Prob. 95ECh. 5.6 - Prob. 96ECh. 5.6 - Prob. 98ECh. 5.6 - Prob. 99ECh. 5.6 - 5-100. Suppose that Xi has a normal distribution...Ch. 5 - Prob. 101SECh. 5 - 5-102. The percentage of people given an...Ch. 5 - Prob. 103SECh. 5 - Prob. 104SECh. 5 - Prob. 105SECh. 5 - Prob. 106SECh. 5 - Prob. 107SECh. 5 - Prob. 108SECh. 5 - Prob. 109SECh. 5 - 5-110. The weight of adobe bricks for construction...Ch. 5 - Prob. 111SECh. 5 - Prob. 112SECh. 5 - Prob. 113SECh. 5 - Prob. 114SECh. 5 - Prob. 116SECh. 5 - Prob. 117SECh. 5 - Prob. 118SECh. 5 - Prob. 119SECh. 5 - 5-120. An order of 15 printers contains 4 with a...Ch. 5 - Prob. 121SECh. 5 - Prob. 122SECh. 5 - Prob. 123SECh. 5 - Prob. 124SECh. 5 - Prob. 125SECh. 5 - Prob. 126SECh. 5 - Prob. 127SECh. 5 - Prob. 128SECh. 5 - Prob. 129SECh. 5 - Prob. 130SECh. 5 - Prob. 131SECh. 5 - Prob. 132SE
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