A certain region of a country is, on average, hit by 8 hurricanes a year. (a) What is the probability that the region will be hit by fewer than 5 hurricanes in a given year? (b) What is the probability that the region will be hit by anywhere from 2 to 6 hurricanes in a given year? Click here to view the table of Poisson probability sums. (a) The probability that the region will be hit by fewer than 5 hurricanes in a given year is (Round to four decimal places as needed.)
A certain region of a country is, on average, hit by 8 hurricanes a year. (a) What is the probability that the region will be hit by fewer than 5 hurricanes in a given year? (b) What is the probability that the region will be hit by anywhere from 2 to 6 hurricanes in a given year? Click here to view the table of Poisson probability sums. (a) The probability that the region will be hit by fewer than 5 hurricanes in a given year 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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Transcribed Image Text:67809
P
5.5
6.0
0
0.0041
0.0025
1
0.0266
0.0174
2
0.0884 0.0620
0.0296 0.0203
3
0.0430
0.2017 0.1512 0.1118 0.0818
4 0.3575 0.2851 0.2237 0.1730 0.1321
0.3690 0.3007 0.2414
5
0.5289 0.4457
10
11
12
13
14
15
18
19
20
21
22
23
24
P
Poisson Probability Sums Σ p(x;μ)
2=0
16 0.9999 0.9998 0.9996
17
1.0000
0.9999
0.9998
1.0000
0.9999
1.0000
6.5
0.0015
0.0113
0.9890 0.9799 0.9661
0.9955 0.9912
0.9983 0.9964 0.9929
0.9994 0.9986
0.9998 0.9995
5.5
6.0
0.6860 0.6063 0.5265 0.4497 0.3782
0.8095 0.7440 0.6728 0.5987 0.5246
0.8944 0.8472 0.7916 0.7291 0.6620
0.8305 0.7764
0.9462 0.9161
0.8774
0.9747 0.9574
0.9332
0.9015
0.8622
0.9467
0.9840 0.9730
0.9872
0.9970 0.9943
0.9988
0.9976
7.0
8.0
0.0009 0.0006 0.0003
0.0073
0.0047
0.0030
6.5
fl
7.5
0.9990
0.9996
7.0
0.0138
0.0093
0.0591 0.0424
0.0301
0.0996
0.0744
0.1912 0.1496
0.9980
0.9992
0.9999 0.9997
1.0000
0.3134
0.4530
0.5925
0.7166
0.8159
0.9208
0.9573 0.9362
0.9784
0.9658
0.9897
0.9954
7.5
"
8.5
9.0
0.0002
0.0001
0.0019 0.0012
0.9993
0.9999 0.9997
0.9999
1.0000
0.8881 0.8487
0.8030
0.9091
0.8758
0.9486 0.9261
0.9827 0.9726 0.9585
0.9918
0.9862
0.9780
0.9963 0.9934
0.9984 0.9970
8.0
0.2562
0.2068
0.3856
0.3239
0.5231 0.4557
0.6530 0.5874
0.7634 0.7060
0.0062
0.0212
0.0550
0.1157
0.9889
0.9947
0.9987 0.9976
0.9995 0.9989
0.9998 0.9996
0.9999
1.0000
8.5
9.5
0.0001
0.0008
9.0
0.0042
0.0149
0.0403
0.0885
0.1649
0.2687
0.3918
0.5218
0.6453
0.7520
0.8364
0.8981
0.9400
0.9665
0.9823
0.9911
0.9957
0.9980
0.9991
0.9998 0.9996
0.9999 0.9999
1.0000
0.9999
1.0000
9.5
Transcribed Image Text:A certain region of a country is, on average, hit by 8 hurricanes a year.
(a) What is the probability that the region will be hit by fewer than 5 hurricanes in a given year?
(b) What is the probability that the region will be hit by anywhere from 2 to 6 hurricanes in a given year?
Click here to view the table of Poisson probability sums.
(a) The probability that the region will be hit by fewer than 5 hurricanes in a given year is
(Round to four decimal places as needed.)
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