What is the expected outcome in a fair game?

Q: questions, each An examination consists of multiple-choice having five possible answers. Suppose you…

A: Event  A you know the answer B you guess the answer  C your answer is correct  P(A) = 0.75 P(B) =…

Q: Vehicles pass through a junction on a busy road at an average rate of 60 per hour.  a) Find the…

A: Solution-: Given: Average =λ=60 per hour We want to find, (a) P(none passes in a given 30-minute…

Q: If 4 marbles are pulled from the bucket, determine the number of different 4-sets of marbles that…

A: There are 13 marbles which contains 8 red ad 5 blue marbles. (i)When 4 marbles are pulled, where 2…

Q: 0.10, and 0.20, respectively, what is the probability that the system functions?

A: here given ,  p(A') = probability of A fail =  0.10 , so p(A) = 1- p(A') = 1 - 0.10 = 0.9  p(B') =…

Q: that there was no infection by that disease :in a town of 100,000 population is

A: Here given, Percentage infection of disease in country was 0.005 So  p = 0.00005  q = 1- p = 0.99995…

Q: 1. In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: To find: The probability that none is red balls

Q: Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of…

A:

Q: : E1 occurs and E2 occurs, find probability of E3

A: here given  When Rolling Die  E1 = event that outcome is 1,2,3 or 4 E2 = event that even number…

Q: The probability that a component is faulty is 0.04. Two components are picked at random. Calculate…

A: Binomial distribution is given by

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: here given ,  there are 52 cards in deck  there are 26 red and 26 black cards in decks

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given Information: 80% of the high school students are known to have come from their elementary…

Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

A: Given: PXm-Xn>∈<∈ for m,n >Ne

Q: For a fixed x (0<x< 1), suppose Y has a probability mass function [x-¹(1-x); y = 1,2,3,... f(y|x) =…

A: Solution

Q: 0. The average service rate is 14 people per hour. What is the average time required to serve a…

A: The average number of people arriving = 10 per hour The average number of people getting services =…

Q: In a Survey, 85% of the people interviewed were unaware that maintaining a healthy weight could…

A: Givenp=0.85n=20Let "x" be the no.of people are unware that maintaining a healthy weightcould reduce…

Q: Assume that in a certain company of Muscat the probability of a certain item being defective is…

A:

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AB) = 0.1. Calculate (a) P(AB); (b)…

A:

Q: 5A+2B. The variance of T is 6

A: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B.

Q: The probability a chip is manufactured to an acceptable standard is 0.87. A sample of six chips is…

A: Given data: P = 0.87 n = 6

Q: how many ways can you choose 3 pieces from the 4 kings and queens (black kinh, white king, black…

A: From the given condition we need to choose 3 pieces from the 4 kings and queens to place on 3…

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =< Z < 1. Calculate the expected value of z. a. 1 b.…

A: A random variable, z, has p.d.f. f (z) = e², 0 &lt; Z &lt; 1.

Q: The probability that a component is faulty is 0.04. Two components are picked at random. Calculate…

A: From the provided information, Sample size (n) = 2 The probability that a component is faulty is (p)…

Q: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: The probability a machine has a lifespan of more than 5 years (p) is 0.8.

Q: A and B are two events such that P(A) = = 0.4 and P(AB) = 0.2 Then P(An B) is equal to a. 0.4 b. 0.6…

A: Given : P(A) = 0.4 and P(A n B) = 0.2

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A:

Q: d. Determine e. Determine f. Determine value of (XY value of x² Y² уг the expected the expected the…

A:

Q: If (x₁y). y || 3 X 2 4 • 10-10 0.15 0.20 0.30 5 0·10 0·15 a. Determine b. Determine the marginal…

A: The given data is  f(x,y) x 2 4 Total y 1 0.10 0.15 0.25 3 0.20 0.30 0.50 5 0.10 0.15…

Q: Suppose that the joint probability mass function of X and Y is X... Op 1+ 2+ Yo -1+ 0.05 0.1 0.1 0…

A:

Q: next problem with the production line diagnosed as being due to an initial repair that was…

A: Here define events  Initial Repair made by hamza = H Initial Repair made by hamza = y Initial…

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 3: 7.141 O a. b. 3; 2.414…

A: From the provided information, Number of observations (n) = 7

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

Q: Is the given statement true or false? nC₁= "Cn-r O a. False b. True O

A: Given: nCr = nCn-r

Q: P(-1<Z<1)= round to four decimal places

A: Given that P(-1&lt;Z&lt;1)

Q: (i) (ii) (iii) Find P(Q). Find P(R). Are events Q and R exclusive? Justify your answer.

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS OF QUESTION  two 12 sided dice are  thrown ,…

Q: Hannah is a student and an online seller. She sells Personal Preventive Equipment (PPE) like face…

A: Note: If the post contains multiple subparts, only allow to do first three subparts as per…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: GivenNo.of toppings(n)=6No.of toppings could be ordered(r)=3

Q: Use the calculator displays to the right to make a decision to reject or fail to reject the null…

A: From the provided information, Sample size (n) = 45 Sample mean (x̄) = 59.25 Population standard…

Q: An instructor wishes to determine which of two methods of teaching ---A or ---B is more effective in…

A: The z test is the type of parametric test. It used when the sample size is large and it also used…

Q: (a) Determine the mean = (b) Determine the Standard Deviation (c) Determine the Coefficiet of…

A: here given , A concerned parents group determined the number of commercials shows in each of the…

Q: Referring to the important health practices advocated by the California study, suppose  that in a…

A: Probability

Q: In a certain factory. Three machines produce pencils. For factory evaluation, samples were chosen…

A: Given Information: Type of production 1st machine 2nd machine 3rd machine Good 200-N 200+N…

Q: What are the differences between the two types of random variables in statistics? B i U Font Family…

A: Answer:

Q: If y is a random variable with a mass function, its probability is defined as: y 0 1 4 9 P(y) 0.64…

A: Solution-: We have following table: y 0 1 4 9 P(y) 0.64 0.25 0.09 0.02 We want to find, (a)…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

A:

Q: next problem with the production line diagnosed as being due to an initial repair that was…

A: Here use probability tree and Bayes rule

Q: Given the following data set, let x be the explanatory variable and y be the response variable.…

A: Given data : sr.no X Y 1 6 4 2 1 9 3 3 8 4 7 3 5 5 5 6 2 8 7 3 7

Q: The speed of a file transfer from a server on campus to a personal computer at a student's home on a…

A:

Q: a. What is the probability that all the three grade 11 students are included? b. What is the…

A: here given  there are total 10 students in group  and of them 3 students are grade 11 students  5…

Q: bility 0.2. Supposing that there are only sunny or rainy days, in the long run on what fraction of…

A: here given ,  On a Southern Pacific island, a sunny day is followed by another sunny day with…