A simple random sample of 1,000 people is taken to estimate the percentage of Democrats in a large population. It turns out that 543 of the people in the sample are Democrats. The sample percentage is (543/1000) x 100% = 54.3%. The SE for the sample percentage of Democrats is 1.6%. (You don't need to check this calculation.) (a) TRUE or FALSE (circle one): (51.1%, 57.5%) is a 95%-confidence interval for the percentage of Democrats in the population. Explain your answer. (b) TRUE or FALSE (circle one): (51.1%, 57.5%) is a 95%-confidence interval for the percentage of Democrats in the sample. Explain your answer. (c) TRUE or FALSE(circle one): There are about two chances in three for the percentage of Democrats in the population to be in the range (52.7%, 55.9%). Explain your answer.

Q: Given P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, what is P(B)?

A: We have given that,  P(A) = 0.34, P(A and B) = 0.20, P(A or B) = 0.55, then, We will find the value…

Q: Given P(B) = 0.47, P(A and B) = 0.10, P(A or B) = 0.51, what is P(A)?

A: From the given information, the probability that occurring event B is 0.47, probability that…

Q: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09, what is P(E)?

A: Given P(E or F) = 0.72, P(F) = 0.43, and P(E and F) = 0.09

Q: what is P(A)?

A: P(B) = 0.31, P(A and B) = 0.20, P(A or B) = 0.53

Q: Given P(E or F) = 0.71, P(F) = 0.12, and P(E and F) = 0.18, what is P(E)?

A: The given problem is to find the value of P(E) with the given P(E or F)=0.71, P(F)=0.12, P(E and…

Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?

A:

Q: Given P(E or F) = 0.72, P(E) = 0.22, and P(E and F) = 0.04, what is P(F)?

A: Here we need to find P(F).

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: Given P(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

Q: Given P(A and B) = 0.23, P(A) = 0.84, what is P(B|A)?

A:

Q: Given P(E or F) = 0.92, P(E) = 0.33, and P(E and F) = 0.07, what is P(F)?

A: Use formula of P(E Or F)

Q: iven P(E or F) = 0.86, P(F) = 0.15, and P(E and F) = 0.02, what is P(E)?

A:

Q: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, what is P(E)?

A: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, By the addition theorem  P(EorF) =P(E)…

Q: Given P(E or F) = 0.66, P(E) = 0.26, and P(E and F) = 0.07, what is P(F)?

A:

Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: Given P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51, what is P(A)?

A: P(B) = 0.40, P(A and B) = 0.14, P(A or B) = 0.51

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: what is P(B)

A:

Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)

A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Given P(E or F) = 0.83, P(E) = 0.44, and P(E and F) = 0.18, what is P(F)?

A: P(E or F) = P(E) + P(F) - P(E and F)

Q: Given P(AandB) = 0.08 P(A) = 0.52 , what is P(B|A)

A: Given,

Q: Rebecca works at a research lab. Her summer intern John has asked for help in determining the sample…

A: The variance of the sample in the academic report is 144 and .

Q: Find P(A and B) P(A) = 0.7 P(B)=0.2 P(A or B)= 0.4

A: Given, P(A) = 0.7 P(B)=0.2 P(A or B)= 0.4

Q: given that P(A or B) = 1/3, P(A) = 1/7, and P(A and B) = 1/8, find P(B) a. 101/168 b. 159/168 c.…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:\

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: Given P(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: Given P(A) = 0.37, P(A and B) = 0.14, P(A or B) = 0.58, what is P(B)?

A: We have given that                P(A)=0.37 , P(A∩B)=0.14  and P(A∪B)=0.58Since we know that…

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: Given P(E or F) = 0.82, P(F) = 0.32, and P(E and F) = 0.13, what is P(E)?

A: P(E or F) = 0.82 P(F) = 0.32 P(E and F) = 0.13 P(E)=?

Q: Given that P(N) = 0.256; P(M and N) = .098; and P(M or N) = .674. Find P(M).

A: Given data, P(N) = 0.256 P(M and N) =0 .098 P(M or N) = 0.674 P(M)=?

Q: Find P(AUB), if the given are P(A)= 0.4, P(B) = 0.3

A: Given that  P(A) = 0.40 P(B) = 0.30 P(A∩B) is not given , Since events A and B are independent.   We…