If ​P(A)=0.6​, ​P(B)=0.5​, and A and B are​ independent, find​ P(A and​ B).

Q: The set B = {2 - 2x², 6 - 2x − 6x², 13 - 6x - 12x²} is a basis for P₂. coordinates of p(x) = 18x −…

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Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: f ​P(E)=0.60​, ​P(E or ​F)=0.65​, and​ P(E and ​F)=0.10​, find​ P(F).

A: Let E and F are two events. The known probabilities are, ​P(E)=0.60​, ​P(E or ​F)=0.65​, P(E and…

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: P(A U B) = 0.9, P(B) = 0.8, P(A n B) = 0.5. Find P(A). %D

A: We have given that,  P(A∪B) = 0.9, P(B) = 0.8 and P(A∩ B) = 0.5 Then,  We will find P(A) = ?

Q: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

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Q: IfP(A =0.3,P(B)=0.4andP(A and B)=0.7areAandBME?

A: The probabilities of the events are given as follows:

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

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Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: TT f(c)dc)+ =xtan"(x) 4

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Q: If ​P(E)=0.55​, ​P(E or ​F)=0.70​, and​ P(E and ​F)=0.20​, find​ P(F).

A: Given that P(E)=0.55​, ​P(E or ​F)=0.70​, P(E and ​F)=0.20​ The formula of addition of two events…

Q: P(E)=0.60​, ​P(E or ​F)=0.85​, and​ P(E and ​F)=0.05​, find​ P(F).

A: Given : P(E)=0.60​ ​P(E or ​F)=0.85​ P(E and F)=0.05​

Q: Given P(A) = 0.2, P(B) = 0.6 do the following.  If P(A | B) = 0.1, compute P(A and B).

A: Given that  P(A) = 0.2, P(B) = 0.6 P(A | B) = 0.1 Find P(A and B)

Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

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Q: Let P(A) = 0.2 and P(B) = 0.5. If P(A|B) = 0.3, calculate P(A and B

A: Given data, P(A) = 0.2   P(B) = 0.5 P(A|B) = 0.3 P(A and B)=?

Q: If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

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Q: Question 1 The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.5, what is P(A or…

A: Given that A and B are mutually exclusive. It means P(A and B)=0

Q: If P(E) = 0.45, P(E or F) = 0.60, and P(E and F) = 0.10, find P(F). P(F) = |(Simplify your answer.)

A: Given: P(E) = 0.45 P(E or F) = 0.60 P(E and F) = 0.10 To Find: P(F) = ? Formula used: P(A or B) =…

Q: Hypertension A pilot study of a new antihypertensive agent is performed for the purpose of planning…

A: Given Information: Sample standard deviation is 8. Sample size n=21. Significance level α=0.05 (b)…

Q: Suppose that P(A) = 0.5 , P(B) = 0.8, and P(B / A) = 0.7. Find: (a)P (A and B) (b) P (A or B )

A: given data   P(A) = 0.5  P(B) = 0.8  P(B | A) = 0.7

Q: If P(E) = 0.45, P(E or F) = 0.70, and P(E and F) = 0.05, find P(F). P(F) =(Simplify your answer.)

A: