Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15, and Px4 = 0.5

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

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Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

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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: (a) Consider the 48-ball lottery game described above. In how many different ways can you select a…

A: Fundamental Principle of Counting In basic counting, the product guideline is the most important…

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: Given information: E(x)=3 P(x) 0.12 0.15 0.23 0.3 0.2 x 1 2 3 4 5

Q: The sample space S is depicted by the Venn Diagram below. P(A) = 0.35, P(B) = 0.67,P(C) = 0.13 P(An…

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

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Q: a. Determine b. Determine C. Determine d. Determine the mean of x the mean of Y the variance of X…

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Q: been met. The calculated test statistic is approximately 1.40 with an associated p-value of…

A: Solution  Given that,  Suppose a city official conducts a hypothesis test to test the claim that the…

Q: A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box…

A: The total number of pencils =5+7=12 Let event A: The first pencil chosen yellow.P(A)=C17C112=712Let…

Q: 5.2 Table shows the percentage frequency table for the petrol brand most preferred by 50 motorists…

A: The provided information is  Petrol performance counts percentage BP 13 26% Caltex 9 18%…

Q: Find the probability that a green is drawn from B. B. Find the probability that a red is drawn from…

A: here define events  R = red ball  G= Green ball here 2 balls are selected from A and Transfer to B ,…

Q: Question 6 A simple dice game involves the player paying $1 to play. Two fair six-sided dice are…

A: Two fair 6 sided die rolled. Profit and loss according to output is mentioned in question. We have…

Q: (a) How large should the sample be if the margin of error is to be less than $4? ANSWER: (b) If we…

A: here given , Population standard deviation  =  34$  Confidence level = 90%  MOE < 4 $

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

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Q: discuss any 3 probability sampling techniques by giving examples

A: Solution-: Discuss any 3 probability sampling techniques by giving examples.

Q: 10) A card is drawn at randum from a pack of 52 Card What is the probability that the card is king…

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Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

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Q: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe…

A: The following information has been given: The population standard deviation is σ=76.5. The margin of…

Q: How many favorable outcomes are expressed in the probability 7/9

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Q: A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random sample of…

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Q: times at each screening station follow an exponential distribution and that arrivals follow a…

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Q: A bowl contains twelve batteries of which four are new, five are used (working) and three are…

A: GivenX denote number of new batteries chosen Y denote number of used batteries chosen Total number…

Q: Consider the triangle A on R2 formed by three points: (0,0), (1,0), and P, where P has coordinates…

A: GivenThe data points (0,0) (1,0) and (Cosθ, sinθ)  The distribution of θ is uniform between 0,2π The…

Q: he lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation…

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Q: In the process of producing engine valves, the valves are subjected to a first grind. Valves whose…

A: Given information:- PMeet specification=74%=74100=0.74PReground=0.18PScrap=0.08PMeet…

Q: The p-value will correspond to a two-tailed area using  t = 1.124 with n − 2 = 3  degrees of…

A: The test is two tailed.

Q: from. Determine the number of ways the greenhouse could select 4 tropical plants and 4 exotic plants…

A: here given ,  A local greenhouse is creating a plant display for a mall. The greenhouse currently…

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

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Q: The water content of soil from a borrow site is normally distributed with a mean of μ = 14.2% and…

A: Given data: Mean = 14.2 % Population standard deviation  = 2 3%

Q: Given the following: Number of births between 30 June 2009 and 30 June 2010 in Australia was…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: particle is moving on the unit circle x² + y² = 1 at the constant angular ing at the initial…

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Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given: Four technicians regularly make repairs when breakdowns occur on automated production line.…

Q: Three transistors are tested. The probability that none of them works is 0.97. What is the…

A: The probability that none of them works is 0.97.

Q: A fair coin (P(heads) = 0.5) is flipped 6 times. What is the probability of flipping fewer than 3…

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Q: reate a frequency and probability distribution of the sample means.

A: here given  population (1,2,3,4,5 ) now sample of size 3 are selected , so 5C3 = 10 sample are…

Q: that the old and improved processes can be regarded as independent populations. What is the…

A: It is given that For old process, sample size = 16, mean = 5000 and SD = 40 For improved process,…

Q: THEOREM 4.1 (The Linearity Property of Expectation). Let X and Y be two random variables. Then the…

A: Given:Let X and Y be the two discrete random variables.Then the expectation of their sum is the sum…

Q: rovide an appropriate response. Use the Standard Normal Table to find the probability. An airline…

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Q: . A random student will be selected from the College of Engineering. The number of male (B) and…

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Q: (a) If the absolute measurement error within 0.5 millimeters is acceptable, what is the probability…

A: here given ,  A test instrument needs to be calibrated periodically to prevent measurement errors.…

Q: 70% of your friends like Chocolate, and 35% like Chocolate AND like Strawberry. What percent of…

A: The provided information is  P(Chocolate and Strawberry)=0.35 P(Chocolate)=0.70   We have to find…

Q: CC (ANC) (ANC) C C 1. True 2. False

A: From the graph, A∩C=C   (i) C⊂(A∩C)⇒C⊂C⇒which is true since every set is the subset of itself…

Q: (c) If a bank receives on the average of 6 bad cheques per day. Find the probability that it will…

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Q: Find the probability that 2 successive reds are drawn from bag A. B. Find the probability that a red…

A: here given ,  there are total 7 balls in bag A and 7 balls in bag B  Bag A contains 3 red and 4…

Q: the number of combinations of 10 distinct objects taken six at a time = the number of combinations…

A: Coimbation is the measure used to determine the number of possible arrangement of data. It does not…

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: In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines 5 bulbs, which are selected…

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