Question 4 In a school, 50% of the students take Calculus, 60% of them take Algebra, 20% take both courses if a randomly selected student takes Calculus, what is the probability that student also takes Algebra?

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Q: A shipment contains 8 ​igneous,6 sedimentary, and 6 metamorphic rocks. If 4 rocks are selected at​ r...

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Q: 28. Binomial distribution, n= 10, p= 0.5. a) Compute P(X = 5) b) Compute P(X> 5) c) Compute P(2 <X<4...

A: Given that n=10 , p=0.5 X~Binomial(n=10,p=0.5)

Q: A school is offering two extracurricular classes, one in Playing Chess and the other in Painting The...

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Q: bag contains three red marbles, two green ones, one blue one, two yellow ones, and two orange ones. ...

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Q: Solve the following problem and show your complete solution: 1. Profesor Z conducted a periodic exam...

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Q: a. Using Bayes' Theorem, if a person tests positive, determine the probability that the person is in...

A: here define events, A= person is infected   B= person test positive   p(A)  =1/200 = 0.005 p(A') = 0...

Q: 3. Answer the following questions (the parts in this question are unrelated and have nothing to do w...

A: Given that,  Z is a variable that follows standard normal distribution.  By using z table we find  P...

Q: A state senate has 120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are l...

A: Given: A state senate has 120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 4...

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A: Type I and Type III errors are critical to hypothesis testing in statistics.

Q: 2 strains of Zombie virus strains have been discovered in the US! The strains are described below: S...

A: Given that, 2 strains of Zombie virus strains have been discovered in the US! The strains are descri...

Q: What, then, is the chance that there will be a need for exactly 2 ambulances on the said highway, du...

A: It has been observed that the average number of traffic accidents requiring medical assistance on th...

Q: Suppose two random variables X and Y have a joint pdf f(x, y) = ax°y, 0<x < 1,0 < y 1, 0 < x < 1,0 <...

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Q: 6. Suppose X is a continuous random variable with a strictly positive probability density function f...

A: Here are two methods of solving this probability density function                                   ...

Q: What level of measurement is the hardness of materials belong? O ordinal O nominal O ratio O interva...

A: Nominal data: Nominal data measure qualitative data and it is the name of variable. example: Smoking...

Q: Find the area between z=0 and z= - 0.18

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Q: You want to obtain cash by using an ATM, but it's dark and you can't see your card when you insert i...

A: given datayou want to obtain cash by using an ATM.but its dark and you cant see your card.

Q: 1) How many triangles can be drawn on a plane using 8 non-collinear points?

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Q: Suppose a sample of 155 students at a university were asked their grade in statistics. 21 said they ...

A: Given that  Sample size n =155 np=21

Q: a.) Give an example of a business problem where simulation would be helpful. b.) Explain how the sim...

A: A simulation tool designed to help people make business decisions that may not be immediateeffect/ef...

Q: his sales by recording the number of boxes of pandesal delivered for the entire month. The probabili...

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Q: 5) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-card hands are possible? ...

A: HERE GIVEN,  There are total 52 cards there are 13 cards in each suit there are 26 black cards  ther...

Q: 2. In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the...

A: Given : number 1000 -peso bills (n)=20Number of receivers (x) = 4 In this example concept of combina...

Q: 2. Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins un...

A: Given  X~geom(1/3)      

Q: Here are summary statistics for the weights of Pepsi in randomly selected cans: n= 36, x 0.82411 lb,...

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Q: .A class consists of 17 women and 65 men. If a student is randomly selected, what is the probability...

A: It is given that Number of women = 17 Total = 17 + 65 = 82

Q: Answer the following problems. Write your answer on the space provided. whar is the probability of d...

A: Since you have posted multiple questions, as per our guidelines we have provided answer for first qu...

Q: If a student provided 90% confidence intervals in all ten questions, how many points would we expect...

A: Note: As per the guidelines, in case of multiple subparts, answer to first three subparts will be pr...

Q: Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon ...

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Q: 2 Let X, Y be independent and identically distributed with Uniform(0, 1) density. (a) Find the densi...

A: Given  X,Y~U(0,1)    

Q: A single, fair 6-sided die is tossed. Find the odds in favor of rolling a 1, 2, 3, or 6. What are th...

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Q: In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two partic...

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Q: Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval...

A: Given that  n=145 , X=106 

Q: Constructing a Discrete Probability Distribution Question: The spinner below is spun two times. The ...

A: Given info: The spinner spun two times. The probability of landing on the 1 is 0.25, the probability...

Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with th...

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Q: A single-elimination tournament with four players is to be held. In Game 1, the players seeded (rate...

A: The following solution is given below:

Q: Explain the Empirical rule and its relationship to the normal distribution 1.

A: Solution-: Explain the empirical rule and its relationship to the normal distribution.

Q: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards ar...

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These...

Q: Exercise 2.8. The number X of milk-chocolate chips and the number Y of dark- chocolate chips in a co...

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Q: ) A lamp has two bulbs, each of a type with average lifetime 1,300 hours. Assuming that we can model...

A: Given: μ = 1300  

Q: Find the mean, variance, and standard deviation of the binomial distribution with the given values o...

A: The parameters of Binomial distribution are given by n = 90 and p = 0.7

Q: ways can 5 balls be selected if: a. all the balls are orange? b. all the balls are green? c. all the...

A: HERE GIVEN, there are total 5+7+10 = 22 pingpong balls in box here 5 balls are selected  here use co...

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to b...

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Q: The binomial distribution has p = 0.5 and n = 20. Find P(X < 8). Use Table II, Appendix A. Express y...

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Q: Xavier and Yolanda both have classes that end at noon and they agree to meet every day after class. ...

A: It is the basically question of probability density function  The Probability Density Function(PDF) ...

Q: 4) Listen A spinner has 6 sectors numbered 1 to 6. The table shows the probability that the dial wil...

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Q: 6. Define a recurrence relation and all necessary initial conditions for the following problem: A st...

A: We need to find the recurrence relation for the given above problem

Q: Which counting method should you use to find the compound probability? Explain.   What is the tota...

A: here given, The math club needs to choose four people for a committee to represent it at the school ...

Q: Evaluate the number. C(7, 4)

A: According to the given information in this question We need to evaluate C(7,4)  

Q: Q3. 48 raincoats for sale at a local men's clothing store. Twelve are black. If 6 raincoats are sele...

A: Given information: Total number of raincoats = 48 Number of black raincoats = 12