On average, a textbook author makes 0.6 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 2 errors is (Round to four decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 15CR
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2
3
4
5
6
T
T
0.1
0.2
0.3
1
0 0.9048 0.8187 0.7408
0.9953 0.9825 0.9631 0.9384 0.9098
0.9989 0.9964 0.9921 0.9856
0.9999 0.9997 0.9992 0.9982
1.0000 1.0000
0.9998
1.0000
T
0
1
2
3
4
5
67900
8
10
11
12
13
14
15
16
0.1
Poisson Probability Sums p(x;µ)
0.2
1.0
1.5
0.3679 0.2231
0.7358
0.5578
0.9197
0.8088
0.9810 0.9344
0.9963 0.9814
0.9994 0.9955
1.0
0.3
1.5
2.0
0.1353
0.4060
0.6767
0.8571
0.9473
0.9834
0.9999
0.9991 0.9955
1.0000 0.9998 0.9989
1.0000
2=0
2.0
0.4
0.6
0.7
0.8
0.6703 0.6065 0.5488 0.4966 0.4493
0.8781 0.8442 0.8088
"
0.5
0.4
0.9999 0.9998 0.9996
1.0000 1.0000 1.0000
0.5
"
2.5
f
3.0
0.9
0.4066
0.7725
0.9769 0.9659
0.9526 0.9371
0.9966 0.9942 0.9909 0.9865
0.9992
0.9986
0.9977
0.9999
0.9998
0.9997
1.0000
1.0000 1.0000
0.7
0.8
0.9
2.5
0.0821
0.0498
0.2873
0.1991
0.1359
0.5438 0.4232 0.3208
0.7576 0.6472
0.8912
0.9580
0.8153
0.9161
0.9858
0.9665
0.9347
0.9958
0.9881 0.9733
0.9998 0.9989 0.9962 0.9901
1.0000 0.9997 0.9989 0.9967
0.9999
0.9997
0.9990
1.0000
0.6
3.5
4.0
4.5
5.0
0.0302 0.0183 0.0111 0.0067
0.0916 0.0611 0.0404
0.2381 0.1736
0.1247
0.4335 0.3423
0.2650
0.5366
0.7254 0.6288 0.5321
0.8576 0.7851 0.7029
3.0
"
0.9999 0.9997 0.9991
1.0000
0.8893 0.8311
0.9489 0.9134
0.9786 0.9597
0.9919
0.9972
3.5
0.9829
0.9933
0.9999 0.9997 0.9992
1.0000
0.9999 0.9997
1.0000
0.9999
1.0000
4.0
0.4405
0.6160
0.9976 0.9945
0.9980
0.9993
0.9998
4.5
0.7622
0.8666
0.9319
0.9682
0.9863
0.9999
1.0000
5.0
Transcribed Image Text:2 3 4 5 6 T T 0.1 0.2 0.3 1 0 0.9048 0.8187 0.7408 0.9953 0.9825 0.9631 0.9384 0.9098 0.9989 0.9964 0.9921 0.9856 0.9999 0.9997 0.9992 0.9982 1.0000 1.0000 0.9998 1.0000 T 0 1 2 3 4 5 67900 8 10 11 12 13 14 15 16 0.1 Poisson Probability Sums p(x;µ) 0.2 1.0 1.5 0.3679 0.2231 0.7358 0.5578 0.9197 0.8088 0.9810 0.9344 0.9963 0.9814 0.9994 0.9955 1.0 0.3 1.5 2.0 0.1353 0.4060 0.6767 0.8571 0.9473 0.9834 0.9999 0.9991 0.9955 1.0000 0.9998 0.9989 1.0000 2=0 2.0 0.4 0.6 0.7 0.8 0.6703 0.6065 0.5488 0.4966 0.4493 0.8781 0.8442 0.8088 " 0.5 0.4 0.9999 0.9998 0.9996 1.0000 1.0000 1.0000 0.5 " 2.5 f 3.0 0.9 0.4066 0.7725 0.9769 0.9659 0.9526 0.9371 0.9966 0.9942 0.9909 0.9865 0.9992 0.9986 0.9977 0.9999 0.9998 0.9997 1.0000 1.0000 1.0000 0.7 0.8 0.9 2.5 0.0821 0.0498 0.2873 0.1991 0.1359 0.5438 0.4232 0.3208 0.7576 0.6472 0.8912 0.9580 0.8153 0.9161 0.9858 0.9665 0.9347 0.9958 0.9881 0.9733 0.9998 0.9989 0.9962 0.9901 1.0000 0.9997 0.9989 0.9967 0.9999 0.9997 0.9990 1.0000 0.6 3.5 4.0 4.5 5.0 0.0302 0.0183 0.0111 0.0067 0.0916 0.0611 0.0404 0.2381 0.1736 0.1247 0.4335 0.3423 0.2650 0.5366 0.7254 0.6288 0.5321 0.8576 0.7851 0.7029 3.0 " 0.9999 0.9997 0.9991 1.0000 0.8893 0.8311 0.9489 0.9134 0.9786 0.9597 0.9919 0.9972 3.5 0.9829 0.9933 0.9999 0.9997 0.9992 1.0000 0.9999 0.9997 1.0000 0.9999 1.0000 4.0 0.4405 0.6160 0.9976 0.9945 0.9980 0.9993 0.9998 4.5 0.7622 0.8666 0.9319 0.9682 0.9863 0.9999 1.0000 5.0
On average, a textbook author makes 0.6 word-processing error per page on the first draft of her textbook.
(a) What is the probability that on the next page she will make 2 or more errors?
(b) What is the probability that a randomly selected page is error free?
Click here to view the table of Poisson probability sums.
(a) The probability that a page has at least 2 errors is
(Round to four decimal places as needed.)
Transcribed Image Text:On average, a textbook author makes 0.6 word-processing error per page on the first draft of her textbook. (a) What is the probability that on the next page she will make 2 or more errors? (b) What is the probability that a randomly selected page is error free? Click here to view the table of Poisson probability sums. (a) The probability that a page has at least 2 errors is (Round to four decimal places as needed.)
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