For questions \"5 through 11, use the following information: A sample of 180 bis
ID: 3340151 • Letter: F
Question
For questions "5 through 11, use the following information: A sample of 180 bison were observed in three different districts in the districts in which they were observed are displayed in the tabie National Park. Their age categories and District Lamar Nez Perce Firehole Totals Calf 18 13 29 60 10 17 Yearling 15 43 75 36 Adult 180 Totals (3 points each) Show your work as unsimplified fr yearling fractions What is the probability of randomly selecting a bison from the sample that was a or was observed in the Firehole district? . 6. If a randomly selected bison from the sample was observed in the Lamar district, what is the probability that it was an adult? 7. Find the probability that a randomly selected bison from the sample was a calf from the Nez Perce district. 8. Find the probability that a randomly selected bison from the sample was an adult. 9 What is the probability that a randomly selected yearling was observed in the Nez Perce 9. district? For questions 10 through *17, round your answers to three decimal places *Show work 10. °10. Given P(A)= 0.543 and P(BIA) = 0.308, find P(A and B). *11. Given P(C or D)= 0.858, p(C)=0.780, and P(D) = 0.302. find P(Cand D). Given P(G) = 0.863, p(G and H-0.490, and that events G and H are independent, find P(H) *12.Explanation / Answer
5)total number of yearling or in firehole district=(15+8+13+18+29)=83
probability =83/180 =0.461
6)
probability of adult given in Lamar district =43/75 =0.573
7) probability that a calf from Nez Perce district =10/180 =0.056
8)
probability of adult =99/180=0.55
9)
probability in Nez Prez district given yearling =8/36 =0.222
10) P(A and B) =P(A) *P(B|A) =0.543*0.308=0.167
11)
P(C and D) =P(C)+P(D)-P(C or D) =0.780+0.302-0.858=0.224
12)
for independence:
P(H) =P(G and H)/P(G) =0.490/0.863 =0.568