Suppose that a telephone switchboard of some company on the average handles 300 calls per hour, and that the board can make at most 10 connections per minute. Using the Poisson distribution, estimate the probability that the board will be overtaxed during a given minute. (Use Table A6) 

Transcribed Image Text:

A- 0.2 F(x) A- 0.3 F(x) H - 0.1 fax) F(x) f) Fx) 0. 0. 0. 0. 0. 9048 8187 0.8187 0.9048 7408 0.7408 6703 0.6703 6065 0.6065 0.9098 0905 0.9953 1637 0.9825 2222 0.9631 2681 0.9384 3033 0.9921 0045 0.9998 0164 0.9989 0333 0.9964 0536 0758 0.9856 0002 1.0000 0011 0.9999 0033 0.9997 0072 0.9992 0126 0.9982 0000 1.0000 0001 1.0000 0003 1.0000 0007 0.9999 0016 0.9998 0001 1.0000 0002 1.0000 A- 0.7 A- 0.8 H- 0.6 A- 0.9 f(x) fx) F(x) fx) Fx) F(x) f) F(x) 0. 0. 0. 0. 0. 0.493 5488 0.488 4966 0.4966 4493 4066 0.4066 3679 0.3679 3293 0.8781 3476 0.8442 3595 0.8088 3659 0.7725 3679 0.7358 0.9197 0988 0.9769 0.9966 1217 0.9659 1438 0.9526 1647 0.9371 1839 0198 0284 0.9942 0383 0.9909 0494 0.9865 0613 0.98 10 4 0030 0.9996 0050 0.9992 0077 0.9986 0111 0.9977 0153 0.9963 0004 1.0000 0007 0.9999 0012 0.9998 0020 0.9997 0031 0.9994 0001 0003 0.9999 1.0000 0002 1.0000 1.0000 0005 0001 1.0000 A- 15 far) F(x) F(X) fx) F(x) fa) F(x) 0. 0. 0. 0. 2231 0.0183 0.2231 1353 0.1353 0498 0.0498 0183 0067 0.0067 0733 1465 3347 05578 2707 0.4060 1494 0.1991 0.0916 0337 0.0404 2707 0.4232 2 2510 0.8088 0.6767 2240 0.2381 0.4335 0842 0.1247 0.9344 0.2650 1255 1804 0.8571 2240 0.6472 1954 1404 0902 0.9473 0.8153 0.9161 0471 0.9814 1680 1954 0.6288 0.7851 1755 1755 0.4405 0.9955 1563 0141 0361 0.9834 1008 0.6160 0035 0.9991 0120 0.9955 0504 0.9665 1042 0.8893 1462 0.7622 0.8666 0.9319 0008 0.9998 0034 0.9989 0216 0.9881 0595 0.9489 1044 1.0000 0.9962 0001 0009 0.9998 0081 0298 0.9786 0653 0002 1.0000 0027 0.9989 0132 0.9919 0363 0.9682 0.9997 0053 0.9972 10 0008 0181 0.9863 0002 0.9991 11 0.9999 0019 0082 0.9945 1.0000 12 0001 0006 0.9997 0034 0.9980 0.9993 0.9998 13 0002 0.9999 0013 1.0000 14 0001 0005 15 0002 0.9999 1.0000 0000 16 -2345