Find what is asked in each problem. You may use the tree diagram or the FCP to answer the problem. Use a separate sheet for your computations and answers. 1. Find the total number of outcomes of each given situations below. a) tossing a coin three times b) answering two multiple questions with four choices each 2. How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not allowed?

Q: Consider an experiment in which you will draw two cards sequentially from a bag containing 4 cards m...

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Q: Find the expected value of g(X, Y) = XY2 . Find µx and µy.

A: The joint probability function of X and Y is described as Y.          X 2 4 P(Y = y) 1 0.10 0.1...

Q: -3 -2 -1 0 1 2 3 Please show your answer to 2 decimal places. About % of the area under the curve of...

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Q: An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he ma...

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Q: Given the sets below, identify the items for the following set expressions: (Using Venn Diagram) U =...

A: Given the sets - U = {0,1,2,3,4,5,6,7,8,9} A = {1,2,3,4,5} B = {2,4,6,8} C = {1,3,5,7,9}  We need to...

Q: 2) Shade (BU C) U A A

A: Given that (B∪C)'∪A  We have to shade the given area  

Q: 3.19 The occurrence of traffic accidents at an intersection may be modeled as a Poisson process, and...

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Q: . A bag contains 10 white and 6 black balls. 4 balls are successively drawn out and not replaced. Wh...

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Q: For mutually exclusive events R,, R2, and Ry., we have P(R,) = 0.05, P(R2) = 0.6, and P(R,)= 0.35. A...

A: Given that ​P(R1​)=0.05​,​ P(R2​)=0.6​, and​P(R3​)=0.35. ​Also,P (Q | R1)=0.6​,P(Q | R2 )=0.7​, andP...

Q: kindly write legibly thank you!  Enumerate and explain each briefly the THREE (3) Properties a Cumu...

A: Given that  Properties a Cumulative distribution function :  We have to define it's properties:   

Q: A chemical supply company currently has in stock 100 Ib of a certain chemical, which it sells to cus...

A: Given, X 1 2 3 4 P(X) 0.3 0.5 0.1 0.1

Q: A three colour spinner was spun 90 times. The outcomes are summarized in the table below: What is th...

A: A three colour spinner was spun 90 times. the outcomes are summarized in the table below: Colour ...

Q: Three couples and two single individuals have been invited to an investment seminar and have agreed ...

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Q: Tossing Coins A coin is tossed 5 times. Find the probability of getting exactly three(3) heads. 1. W...

A: Given that, a coin is tossed 5 times, We need to calculate the probability of getting exactly three ...

Q: A true-false quiz has 12 questions. A student guesses all the answers. Find the probability of the f...

A: Given that n =12 . p = 1/2 Find (a)  getting 6 correct (b)  getting at least 6 correct (c)  getting ...

Q: 13. Are A, B, and C mutually-exclusive events if P(A) = 0.33, P(B) = 0.35, and P(C) = 0.32? Explain....

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Q: Based on the probability distribution presented below, it would appear that Sample C has the least d...

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Q: The mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 6 d...

A: Given,mean(μ)=13standard deviation(σ)=6

Q: A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The curr...

A: Solution  

Q: An engineering construction firm is currently working on power plants at three different sites. Let ...

A: Venn diagram is used to represent groups of observations. It represent the similarity and dissimilar...

Q: A contractor is required by a county planning department to submit one, two, three, four, five, or s...

A: We have given that  Probability mass function  p(y) = ky , for y = 1,2,......6  

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean o...

A: GivenMean(μ)=4standard deviation(σ)=1.6

Q: State the formula for the Principle of Inclusion and Exclusion for 3 sets. Draw a Venn diagram showi...

A: The formula for The principle of inclusion and exclusion  for three sets A |A\cup B \cup C| = |A| + ...

Q: () A class consists of 80 students, 25 of them are girls and 55 boys, 10 of them are rich and remain...

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Q: determine the probability that one is damage b. determine the probability t that less than three anr...

A: Given Information: There are 50 items in a package. The number of damaged items is 4. So, the probab...

Q: The probabilities that a customer buys 1, 2, 3, 5, 8 apples each day in a grocery store are 0.20, 0....

A: We have given that  Probability distribution  B 1 2 3 5 8 p(B) 0.20 0.32 0.23 0.18 0.07 I wa...

Q: The Royals' coach stated that "the odds in favour of us winning the next game are 5:7, the odds of t...

A: Here Take O=Odds of given event P=Probability of that event SO  P=o1+o

Q: The Economic Policy Institute periodically issues reports on workers' wages. Suppose the institute r...

A: Given: μM=37.39σM=4.60μW=27.83σW=4.10  

Q: An auto dealer orders 10 new automobiles for resale. If 30% of the automobiles produced are shipped ...

A: Givensample size(n)=10p=0.30Let "x" be the  no. of defective automobilex~Binomial(n=10,p=0.30)P(X=x)...

Q: The number of items sold per day at a retail store, with its corresponding probabilities, is shown i...

A: Mean(μ)=∑X.P(X)

Q: In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do n...

A: Introduction: There are 10 engineers and 4 doctors who seat at a round table.

Q: An individual who has automobile insurance from a certain company is randomly selected. Let Y be the...

A: (a)   Obtain the value of E(Y)   The value of E(Y) is obtained below as follows:   From the informat...

Q: what is the probability that the person drawing the names is a math major?   b. How many ways can th...

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Q: Consider the random variable X with density function f (x) =x2 for – 1 < x < 1 (and zer %D for all o...

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Q: The sales manager of an insurance company told his newly hired salesman that about 30 percent of the...

A: Let us assume that all those who buy or do not buy usually ask or enquire about the insurance produc...

Q: 3.14 A structure with a design life of 50 yr is planned for a site where high-intensity earthquakes ...

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Q: Note: R is the last digit of the student registration number. (second last digit, if the last digit ...

A: Given Information:      Portfolio Value=$100Mean μ= 20%Variance σ2=10 Consider the last digit of the...

Q: Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 2...

A: Probability is the chances of occurrence of an event. The value of probability lies between 0 and 1....

Q: Suppose you have 3 jars with the following contents. Jar 1 has 2white balls and 3 black balls. Jar 2...

A: Given: J1=2W+3BJ2=4W+1BJ3=1W+1B Where J1, J2, and J3 are jar1, jar2, and jar3. W=White Ball, B=Black...

Q: A company manufactures candies in the shape of small cubes that measure 2 centimeters on each side. ...

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Q: In a school of 2000 students, 1200 take math, 900 take English, 500 don't take any of these. What is...

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Q: 3. Suppose that g is an easy probability density function to generate from, and h is a non- negative...

A: E follows an exponential distribution with parameter value 1. Thus the probability density function ...

Q: 8.) Using the following relative frequency distribution: Outcome A B C D E Relative Frequency 0.25 0...

A: Given data is Outcome A B C D E Relative Frequency 0.25 0.1 0.35 0.05 0.25

Q: what is the probability of an Ace or a King card dealt on the flop( the first 3 community cards)? No...

A: Here we want to find the probability.

Q: Use the identities A = ANS and S = BUB and a distributive law to prove the following. (a) A = (ANB) ...

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Q: COPD) is quite common with over 3 million cases per year in the United States alone. This disease ha...

A: Chronic Obstructive Pulmonary disease symptoms are shortness of breath and risk of mortality among e...

Q: Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X va...

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Q: 1. In how many ways can 3 boys and 4 girls sit in a row if a. they are to sit alternately? b, the bo...

A: According to Bartleby guildlines we have to solve first question and rest can be reposted individual...

Q: Below is an incomplete probability distribution for a random variable X. x | 1 f(x) 0.15 | 0.25 | 0....

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Q: Direction: Complete the table below by constructing and probability distribution of Example 3 (refer...

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