In an election, 66% of the voters were Republicans, and 34% were not. Of the Republicans, 60% voted for Candidate X, and of the non-Republicans, 10% voted for Candidate X. Consider a randomly selected voter. Define A = Voter is Republican B = Voted for Candidate X (a) Find the values. P(A) = P(AC) = P(B|A) = P(B|AC) = (b) Find P(A and B).   Write in words what outcome it represents. This is the probability of being a non-Republican and voting for a Republican.This is the probability of being a Republican and voting for Candidate X.     This is the probability of being a Republican and voting for a Republican.This is the probability of being a non-Republican and voting for Candidate X. (c) Find P(AC and B).   Write in words what outcome it represents. This is the probability of being a Republican and voting for Candidate X.This is the probability of being a Republican and voting for a Republican.     This is the probability of being a non-Republican and voting for Candidate X.This is the probability of being a non-Republican and voting for a Republican. (d) Using the results in parts (b) and (c), find P(B). (Hint: The events in parts (b) and (c) cover all of the ways in which B can happen.)   (e) Use the result in part (d) to state what percent of the vote Candidate X received.

Q: if you flip a fair coin 8 times and the X is the number of times the coin came up " heads", what is…

A: According to the provided information, a fair coin tossed 8 times.  The possible outcome of a fair…

Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: Find P(A∪B)

A:

Q: Given that p(A)=.55, p(B)=.35, and p(A| B)=.85, find p(A and B).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: The table shows the number of one doctor's patients who caught a cold one week and whether or not…

A:

Q: If you flip a fair coin 12 times and X is the number of times the coin came up "Heads", what is P(X…

A: From the provided information, A fair coin flipped 12 times that is n = 12 Probability of occurring…

Q: Given P(A) = 0.40, P(B) = 0.35, and P(A and B) = 0.12, what is P(A or B)?

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: A hat contains one thousand-dollar bill and four five-dollar bills. Five persons, one at a time,…

A:

Q: 4 A math teacher surveys 10 randomly- selected students in her classes. She finds that 7 of the 10…

A: Out of 10 students 7 speak more than one language fluently. So, 7 out of 10 students speak more than…

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A:

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) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: If P (A)=0.5, P (B)=0.3, and A and B are mutually exclusive, find P (A or B). P(A or B) =

A: Given that  P(A)=0.5 , P(B)=0.3  A and B are mutually exclusive

Q: PY|X| (3|4) =?

A: Let us denote the possible outcomes in the form of ordered pairs (B, R) where B represents the…

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: GivenP(A) = 0.4,  P(B) = 0.5, P(A | B) = 0.3 Compute  P(A and B) Compute P(A or B).

A: P(A) = 0.4, P(B) = 0.5, P(A|B) = 0.3

Q: Given P(A and B) = 0.18, P(B) = 0.78, P(B|A) = 0.82, what is P(A)?

A: Given information- P (B) = 0.78 P (A∩B) = 0.18 P (B|A) = 0.82 P (B/A) is given by-

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.