Suppose that for events A, B, we have: P(A) = 1/6 , P(B) = 5/12 , P(A|B) + P(B|A) = 7/10. What is P( An B ) ? %3D (4 decimal places)

Q: (c) (3) Calculate the probability that a life of 76 years age will die in between ages 79 and 81,…

A: Given information:   The probability of the person will die at the age of 79 is, q79=0.16   The…

Q: Suppose I interview a random sample of 300 adults and ask them to assess their health, from “Poor”…

A:

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 683 drivers were…

A:

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: The probability of flu symptoms for a person not receiving any treatment is 0.023. In a clinical…

A: Let X be the number of person experience flu symptoms.The total number of people is 896.The…

Q: The probability of flu symptoms for a person not receiving any treatment is 0.03. In a clinical…

A: Define the random variable X follows Binomial distribution with n=1152 and p=0.03 Here, the sample…

Q: Suppose we have a binomial experiment in which success is defined to be a particular quality or…

A: It is given that n is 41 and p is 0.33.

Q: The probability (i) that A can solve a prob Statistics is 4/5, (ii) that B can solve it is 2/3,…

A: We have given that A can solve a problem in statistics is 4/5 B can solve it is 2/3 C can solve it…

Q: 9) If X~N(25, 0) and P(X > 40) = 0.1420, what is o? (Round to the nearest

A: Given data,μ=25P(X>40)=0.1420σ=?

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: P(A) = 0.55. P(AC) = 0.45 P(B|A) = 0.75 P(B|Ac) = 0.09 P(B) = 0.453P(A|B) = ?

Q: (9/5)*(10/18)

A: Given,

Q: In part B, how was 0.5 obtained?

A: When we not have any prior information about the population Proportion, generally we can assume the…

Q: When it comes to statistics, what is quantification and how is it useful? When is it not useful?

A: Statistics: The term Statistics, in singular sense, means the aggregate of scientific methods which…

Q: John has integers 1:10. He randomly draws 5 without replacement and reasons that he could estimate…

A: Introduction: When the man chooses a sample of five numbers between 1 and 10, both inclusive,…

Q: (b) Consider the information given above. If the thirteen-sided die was fair (unbiased), then how…

A: Given that dice has 13 face and dice was fair.

Q: (a) If A = {3,7, 2}, find P(A). %3D (b) What is [A|? (c) What is | P(A)|?

A:

Q: Prove that, if (a%m)=(b%m) then m| (a-b)

A:

Q: (a)         What type of design is this?     (b)         Complete the summary table.     (c)…

A:

Q: A simple random sample of 1,000 people is taken to estimate the percentage of Democrats in a large…

A: Given Information: Sample size n=1000 people Out of which x=543 people are democrats. The sample…

Q: (10 points) Let F = {{a,b}, {c, d}}. What are each of the following %3D (a) (2 points) UF (b) (2…

A: Given the set F

Q: In a very large shipment of electronic devices, 5% are defective. Let X represent the number of…

A: The objective of the question is to find the probability that more than 2 devices are defective in a…

Q: For this problem, assume that outcome O1 has frequency 1/a1, outcome O2 has frequency 11/a, and the…

A: Outcome O1 has frequency 1/a, O2 has frequency 11/a and another one is having frequency 12/a.

Q: Suppose we roll two fair dice (a red die and a green die). Let A = "The sum of the two dice is less…

A: For a sum less than 5

Q: If P (A) = 80%, P (A u B) = 0.95, and P (A nB) = 45%, then P (A n B̅) is

A: It is given that, P (A) = 80%=0.80, P (A u B) = 0.95, and P (A nB) = 45%=0.45

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 660 drivers were…

A: Probability theorem :  P(W)+P(W¯ ) = 1

Q: C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal…

A: Let X be the random variable from binomial distribution with probability of successes (p) = 1/2 and…

Q: A study was done in a large undergraduate classroom asking the students to record how many hours…

A:

Q: Statistical Abstract of the United States reported that 66% of students who graduated from high…

A: Given  p=66%=0.66, n=18

Q: Suppose that extensive testing has revealed that people in Group A have IQ’s that are well described…

A: a)

Q: An experiment consists in tossing a coin 3 times. Let X be the number of heads obtained. Then p(X=2)…

A: Listing the Total outcomes and then calculating the probability.

Q: The contingency table to the right shows counts of the types of gasoline bought during the week and…

A: Solution-: We find, (a) Chi-square value and Cramer's value V                (b)  Interpret these…

Q: Given P(A) = 0.6 and P(A and B) = 0.2 and P(B) = 0.6, then P(A/B) = 0.3 0.3333333... 0.4…

A: Given P(A)=0.6, P(B)=0.6, P(A and B)=0.2

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

Q: Use the formula  C(n, x)pxqn − x  to determine the probability of the given event. (Round your…

A: Given: Number of trials, n=9 Probability of success, p=13 We need to determine the probability of no…

Q: You study a population and are interested in the proportionpthat has a certain characteristic. You…

A: The question is about confidence interval.Given :Randomly selected no. of observations ( n ) =…