Consider the weighted voting system [q: 15, 8, 3, 1] Find the Banzhaf power distribution of this weighted voting system, When the quota is 15 When the quota is 16 When the quota is 18

Q: It is claimed that a vitamin supplement helps mice learn to run a maze more quickly and, in fact, to…

A: Given Information:- It is claimed that a vitamin supplement helps mice learn to run a maze more…

Q: The P(A) = ?  5/11.    P(not A) =?    6/11 Odds in favor of A are?

A: Given that P(A)=5/11, P(not A)=6/11

Q: For diseases X, Y, and Z, if two carriers of the disease have a child, the child has a .25 chance of…

A: Given that, The diseases are X,Y,Z If two carriers of the disease have the child the probability of…

Q: A Harris Interactive national telephone poll in 2002 asked, "Do you think adults should be allowed…

A: Given: For the question asked in the national telephone poll, 80% of respondents answered, "Yes, it…

Q: The probability that a person has a positive test result given that person is healthy is 0.01. The…

A: Let Po denote the positive test result and CV denote that the person is infected with COVID. CV'…

Q: The random variable X has the probability distribution table shown below. x 3 5 7 9 11 P(X = x) 0.2…

A: x 3 5 7 9 11 P(X = x) 0.2 0.2 a a 0.2

Q: You manage a team of 4 employees. The entire team is responsible for completing 4 projects on time.…

A:

Q: In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let…

A: Let us define some events  A : student knows the answer. B : student guess the answer. E : student…

Q: In a certain community, 36 percent of the families own a dog and 22 percent of the families that own…

A: Given  P(Dog)=36%=0.36, P(Dog and Cat)=22%=0.22, P(Cat)=30%=0.30  P(Dog|Cat)=?

Q: A piece of equipment contains six identical items and it is known that three of them are  defective.…

A: Given that there are total of six identical items in a piece of equipment. Three items out of six…

Q: Two machines turn out all the products in a factory, with the first machine producing 40% of the…

A:

Q: (i) Calculate the value of the upper quartile for this distribution. (ii) On a copy of, or very…

A:

Q: Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful. for…

A: The information provided in the question are as follows : The two-way table for new test and true…

Q: Outcome robability 1 .1 R and G 2 .1 3 .1 vents A, B, C and D are defined as follows. {The number is…

A:

Q: A national survey of graduate students is conducted to assess their consumption of coffee. The…

A:

Q: The total annual precipitation for a region is approximately normally distributed with a mean of…

A: Given data normal distributionμ = 1050 mmσ = 400 mmP(1050<x<1300) = ?

Q: A fair coin is flipped 5 times. Determine the following probabilities: (a) The probability 4 heads…

A: 7. A coin is fair and is flipped 5 times. The possible outcomes on each flip are either Heads or…

Q: 2. You operate a polar research station; every morning, you send a radio message indicating which…

A: Given the 4 directions are coded as shown below 000, 110, 101, 011 The probability that each bit 0…

Q: uppose that you flip a coin 14 times. What is the probability that you achieve at least 5 tails?

A: given data, flip a coin 14 timesn=14p(head)=p=0.50p(tail)=q=1-0.50=0.50x= no. of tails probability…

Q: 4. Suppose we adopt a fractional age assumption as follows: For every x integer and t = [0, 1], the…

A: Given, for every x integer and t∈0,1, the function 1pxt is a linear function on the interval 0,1.…

Q: Men Women Boys Girls Total Survived 332 318 29 27   Died 1360 104 35 18   Total

A: Data given    men Women Boys Girls Survived 332 318 29 27 Died 1360…

Q: Independent trials consisting of the flipping a biased coin having probability 1/3 of coming up…

A: Given  p=probability of getting head=1/3, n=10

Q: In an apartment complex, 40% of residents read USA Today, only 25% read the New York Times. Five…

A: given data, 40% of residents read USA today, 25% read the New york times5% of residents read  both…

Q: both 2 and 3. E. n is not divisible by 6 or n is not divisible by both 2 and 3. F. n is not…

A: Answer:- If P and Q  be two  statement than, The negation of "P and Q" becomes "Not P or Not Q"  The…

Q: You are practicing your free throws for an upcoming basketball game. Every throw is successful with…

A: Given The probability that a throw is successful =23The total number of throws in a set =5 4)The…

Q: 6) In a turn during a game, you must roll a 6-sided die and spin the spinner shown. What is the…

A: 6) A 6-sided die is rolled and spinner of 10 numbers spinned.

Q: Harold is planning a party for 44 people. He has some round tables and some square tables. There are…

A: Given:Number of people =44 On a square table 4 chairs.        On a round table 6 chairs. We need to…

Q: 3.1.7A flu virus hits a company employing 180 people. Independent of the other employees, there is a…

A: From the provided information, Sample size (n) = 180 Probability of p = 0.35

Q: the 6 seats in the first row are to be assigned to a class of 17 women and 20 men. What is the…

A: 17 women 20 men __________________ 37 total people      6 seats in the first row are to be assigned…

Q: 7. A student club has twenty members: 6 seniors, 4 juniors, 5 sophomores, and 5 freshmen. (a) In how…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Discrete Probability:  Four dice are thrown, what's the probability that: a) None of them fall…

A: Given data : Four dice are thrown, what's the probability that: a) None of them fall higher than…

Q: The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that…

A: Given that From table Total=261+117+104+86+119=687 Engineering=104 Business=86 Chemistry=119

Q: 2. The data below summarizes marks on a test (out of 20) for a class of 33 students. Estimate the…

A: Answer:- Given, total frequency= 33  So, the frequency of the various classes is ,  Classes  mid…

Q: Two dice are rolled in a random experiment. (a) What is the probability that at most one is a six?…

A: We have given, two dies are rolled in the random experiment. The sample space is written as, Ω=1,1,…

Q: Suppose the pdf of X is given by = {1+² 0 f(x) = (1/3+²³ × 0≤x≤2 otherwise ✪ Derive F(x). Calculate…

A: Given,f(x)={18+38x; 0≤X≤20otherwise

Q: This equation represents the outcome of heads when three coins were flipped in 50 trials: 0.8+1.18…

A: Solution:   Three coins are flipped 50 times  The possible values of heads are 0,1,2 and 3  n = 50…

Q: Examine the Dot Plots and determine which activity has a mean of 1.555?

A: Introduction: We need to determine which activity that has a mean of 1.555.

Q: e P(passing | front row)

A:

Q: Is it a valid density ? Calculate P(0.5 ≤ x ≤ 5).

A:

Q: Round your answers to four decimal places. P(x > 9) = P(Z > -1.90) = 1 - P(Z < -1.90) x x

A: To find probability P(x&gt;9.5)=p(z&gt;-1.90) Using given z table

Q: You must make a choice between 4 different brands. Based on the data in the table, which brand has…

A: Brand Breaks within 6 Months Total A 1250 12,400 B 1375 7500 C 450 1400 D 84 230

Q: Suppose f(x) = 0.125x for 0<x< 4. determine the mean and variance of X. Round your answers to 3…

A: Given that the pdf of x  f(x)=0.125x.     for 0&lt;x&lt;4 We have to find mean and variance of X:

Q: Assume that for an ad campaign to be successful, at least 77% of those seeing a television…

A: given data P(able to recall the name of the company in the ad) = p = 0.77sample size (n) = 19x = no.…

Q: Example 6 Find the mean of the discrete random variable X whose probability distribution is X 1 p(x)…

A: We have given that following probability distribution table  x p(X) 1 0.30 2 0.25 3 0.15…

Q: James owns 7 different mathematics books and 6 different computer science books and wish to fill 5…

A: given data, 7- mathematics books6- computer scienece books13- total books5 positions on a…

Q: Company A will default with probability .01, company B will default with probability .05, and…

A: Given that. The event A is I will  buy a bond of Company A The event B is I will  buy a bond of…

Q: The events are [dependent / independent] because P(A and B) is

A:

Q: A and B are two independent events then show that A' and B' are also independent

A: Given that A and B are independent then P(A and B)=P(A)×P(B)

Q: part 1 of 3 A family has 3 children. Let F represent the number of female children, and let M…

A: Given: Total number of children in the family: n=3 F : Number of female children  M : Number of male…

Q: For discrete random variables, when making the probability statements that involve an inequality, it…

A: P(X≥6)+_________ = 1 we have to find correct option for blank.