2) A study of the spread of Verticillium wilt in tomato plants suggests that sub

Question

2) A study of the spread of Verticillium wilt in tomato plants suggests that subjecting potting soil to high temperatures used by potted tomato plants may reduce the incidence of disease. A total of 100 tomato plants were grown in a greenhouse with the number of plants affected by Verticillium wilt given bjy treatment: Presence of Verticillium wilt Treatment Soil heat treated Soil not treated Total Total 75 25 100 Yes 34 0 45 Given the events: A: The soil has been heat treated B: The tomato plant has presence of Verticillium wilt Find: a) P(A) b) P(B) c) P(A or B) d) P(A and B) e) P[(B)c] f) P[(A and B)'] 8) P[(A or B)c] h) P(A or B) P[(A)Cand B] i) P[(A)C and B] + P(A and B) j) PI(CA)and B) or ((B)c and A)]

Explanation / Answer

as per chegg policies i am answering 4 parts

a)
P(A)
=75/100
0.75

b)
P(B)
=45/100
0.45

c)
P(A or B)
P(A)+P(B)-P(AB)
=75/100+45/100-34/100
0.86

d)
P(A and B)
P(AB)
=34/100
0.34

e)
P(Bc)
1-P(B)
=1-45/100
0.55

f)
P(A and B)c
1 -P(AB)
=1-34/100
0.66

g)
P(A or B)c
1-P(A or B)
1-.86
0.14

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