A person 5.4 feet tall stands in line of a shadow cast from the top of the house. The shadow hits the top of the person's head,
and continues until the shadow ends on the ground 2.4 feet from the person's shoes. The distance along the ground from the tip of the shadow to the house is 14.6 feet. Find the height of the house. Do not round your
1 answer:
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Answer:
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Step-by-step explanation:
From the given study,
Let A be the event that the accountant has an MBA degree
Let B be the event that the accountant has at least 5 years of professional experience.
P(A) = 0.35
= 1 - P(A)
= 1 - 0.35
= 0.65
= 0.45
P(B) = 1 -
P(B) = 1 - 0.45
P(B) = 0.55
P(A ∩ B ) = 0.75
P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ] because =
SO;
P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]
P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]
P(A ∩ B ) - 0.75 P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]
0.25 P(A ∩ B) = 0.075
P(A ∩ B) =
P(A ∩ B) = 0.3
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)
= P(A) + P(B) - 2P( A ∩ B)
= (0.35 + 0.55) - 2(0.3)
= 0.9 - 0.6
= 0.3
∴
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3