lem H. Questions 1-6 cording to t S. Coast Guard, sixty-ive perceat of boating a
ID: 3277257 • Letter: L
Question
lem H. Questions 1-6 cording to t S. Coast Guard, sixty-ive perceat of boating aecidlents ocur conditions. in light wind (SEE EXCEL OUTPUT, APPENDIX 3) 1. Suppose 20 boating accidents are randomly selected. Find the probability that at most 11 occurred in light wind conditions. 2. Suppose 24 boating accidents are randomly selected. Find the probability that at least 6 did not occur in light wind conditions. 3. Suppose 20 boating accidents are randomly selected. Find the probability that the number of accidents that occurred in light wind conditions differs by greater than 3 from the mean. 4. Suppose 24 boating accidents are randomly selected. Find the probability that greater than 15 occurred in light wind conditions. 5. Suppos e 20 boating accidents are randomly selected. Find the probability that exactly 8 did not occur in light wind conditions. 6. Suppose 24 boating accidents are randomly selected. Find the probability that greater than 30% but less than 75% of them occurred in light wind conditions.Explanation / Answer
Ans:
Given that
p=0.65
1-p=0.35
1)n=20
P(k<=11)=BINOMDIST(11,20,0.65,TRUE)=0.2376
2)n=24
P(k>=6)=1-BINOMDIST(5,24,0.35,TRUE)=0.8956
4)n=24
P(k>15)=1-P(k<=14)=1-BINOMDIST(14,24,0.65,TRUE)=0.6866
5)n=20
P(K=8)=BINOMDIST(8,20,0.35,FALSE)=0.1614
6)Required probability will be =P(14)+P(15)+P(16)=0.13+0.1610+0.1682=0.4592
k BINOMDIST(I327,24,0.65,FALSE) cumulative prob 0 0.00 0.0000 1 0.00 0.0000 2 0.00 0.0000 3 0.00 0.0000 4 0.00 0.0000 5 0.00 0.0000 6 0.00 0.0001 7 0.0003 0.0004 8 0.0012 0.0016 9 0.0039 0.0055 10 0.0109 0.0164 11 0.0258 0.0423 12 0.0520 0.0942 13 0.0891 0.1833 14 0.1300 0.3134 15 0.1610 0.4743 16 0.1682 0.6425 17 0.1470 0.7894 18 0.1061 0.8956 19 0.0622 0.9578 20 0.0289 0.9867 21 0.0102 0.9970 22 0.0026 0.9995 23 0.0004 1.0000 24 0.00 1.0000Related Questions
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