T 0.1 0.2 0.3 0 0.9048 0.8187 0.7408 1 0.9953 0.9825 0.9998 1.0000 2 3 4 5 6 T 3 4 5 6 7 8 9 10 T 1.0 1.5 0 0.3679 0.2231 1 0.7358 2 0.9197 11 12 13 14 15 16 0.1 T Poisson Probability Sums p(x;µ) 0.9999 1.0000 0.9989 0.9964 0.9999 0.9997 1.0000 1.0000 0.2 0.5578 0.8088 0.9810 0.9344 1.0 0.9963 0.9814 0.9994 0.4 0.6 0.9 0.6065 0.5488 0.4066 0.7725 0.6703 0.9631 0.9384 0.9098 0.8781 0.8442 0.9921 0.9856 0.9769 0.9659 0.9992 0.9982 0.9966 0.9996 0.9526 0.9371 0.9942 0.9909 0.9865 0.9999 0.9998 0.9992 0.9986 0.9977 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 1.0000 1.0000 1.0000 0.7 0.8 0.9 0.3 1.5 0.9473 0.9955 0.9834 2=0 2.0 2.5 0.1353 0.0821 0.4060 0.2873 0.6767 0.5438 0.8571 0.7576 0.4 2.0 " 0.5 0.5 " f 3.0 0.9991 0.9955 0.9858 0.9665 0.9998 0.9989 1.0000 0.0498 0.1991 0.4232 0.6472 0.8912 0.8153 0.9580 0.9161 2.5 1.0000 0.9999 1.0000 0.6 0.9347 0.8893 0.8311 0.9733 0.9489 0.9134 0.9958 0.9881 0.9998 0.9989 0.9962 0.9901 1.0000 0.9997 0.9989 0.9967 0.9786 0.9597 0.9919 0.9829 0.9999 0.9997 0.9933 3.0 " 0.7 0.8 0.4966 0.4493 0.8088 3.5 4.0 4.5 5.0 0.0302 0.0183 0.0111 0.0067 0.1359 0.0916 0.0611 0.0404 0.3208 0.2381 0.1736 0.1247 0.5366 0.4335 0.3423 0.2650 0.7254 0.6288 0.5321 0.8576 0.7851 0.7029 0.9990 0.9972 0.9991 0.9976 0.9997 0.9999 0.9997 0.9992 1.0000 0.9999 0.9997 1.0000 0.9999 1.0000 3.5 4.0 4.5 0.4405 0.6160 0.7622 0.8666 0.9319 0.9682 0.9863 0.9945 0.9980 0.9993 0.9998 0.9999 1.0000 5.0 On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 2 accidents will occur in any given month at this intersection? The probability that exactly 2 accidents will occur in any given month at this intersection is 0.2565 (Round to four decimal places as needed.) (b) What is the probability that fewer than 5 accidents will occur in any given month at this intersection? The probability that fewer than 5 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)

T 0.1 0.2 0.3 0 0.9048 0.8187 0.7408 1 0.9953 0.9825 0.9998 1.0000 2 3 4 5 6 T 3 4 5 6 7 8 9 10 T 1.0 1.5 0 0.3679 0.2231 1 0.7358 2 0.9197 11 12 13 14 15 16 0.1 T Poisson Probability Sums p(x;µ) 0.9999 1.0000 0.9989 0.9964 0.9999 0.9997 1.0000 1.0000 0.2 0.5578 0.8088 0.9810 0.9344 1.0 0.9963 0.9814 0.9994 0.4 0.6 0.9 0.6065 0.5488 0.4066 0.7725 0.6703 0.9631 0.9384 0.9098 0.8781 0.8442 0.9921 0.9856 0.9769 0.9659 0.9992 0.9982 0.9966 0.9996 0.9526 0.9371 0.9942 0.9909 0.9865 0.9999 0.9998 0.9992 0.9986 0.9977 1.0000 1.0000 1.0000 0.9999 0.9998 0.9997 1.0000 1.0000 1.0000 0.7 0.8 0.9 0.3 1.5 0.9473 0.9955 0.9834 2=0 2.0 2.5 0.1353 0.0821 0.4060 0.2873 0.6767 0.5438 0.8571 0.7576 0.4 2.0 " 0.5 0.5 " f 3.0 0.9991 0.9955 0.9858 0.9665 0.9998 0.9989 1.0000 0.0498 0.1991 0.4232 0.6472 0.8912 0.8153 0.9580 0.9161 2.5 1.0000 0.9999 1.0000 0.6 0.9347 0.8893 0.8311 0.9733 0.9489 0.9134 0.9958 0.9881 0.9998 0.9989 0.9962 0.9901 1.0000 0.9997 0.9989 0.9967 0.9786 0.9597 0.9919 0.9829 0.9999 0.9997 0.9933 3.0 " 0.7 0.8 0.4966 0.4493 0.8088 3.5 4.0 4.5 5.0 0.0302 0.0183 0.0111 0.0067 0.1359 0.0916 0.0611 0.0404 0.3208 0.2381 0.1736 0.1247 0.5366 0.4335 0.3423 0.2650 0.7254 0.6288 0.5321 0.8576 0.7851 0.7029 0.9990 0.9972 0.9991 0.9976 0.9997 0.9999 0.9997 0.9992 1.0000 0.9999 0.9997 1.0000 0.9999 1.0000 3.5 4.0 4.5 0.4405 0.6160 0.7622 0.8666 0.9319 0.9682 0.9863 0.9945 0.9980 0.9993 0.9998 0.9999 1.0000 5.0 On average, 2.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums. (a) What is the probability that exactly 2 accidents will occur in any given month at this intersection? The probability that exactly 2 accidents will occur in any given month at this intersection is 0.2565 (Round to four decimal places as needed.) (b) What is the probability that fewer than 5 accidents will occur in any given month at this intersection? The probability that fewer than 5 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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