part 1 of 2 If you are a 65 % free-throw shooter and the random variable Y denotes the total number of shots in order to make one free-throw, then: Calculate E[Y]. Round to the nearest whole number. part 2 of 2 Calculate Var[Y]. Round to the nearest whole number. 1.4 2.1 3.2 4. 3 1.2 2.1

Q: Given that X is a continuous random variable that has a uniform probability distribution, and 2.1 <…

A: Given,A continuous random variable X has a uniform distribution in 2.1 &lt; X &lt;…

Q: A Discrete Probability Distribution is given below: Probability (%) 12 38 30 20 Class A B C D…

A: Answer  Given  Class         Probability [%] A                   12 B                    38 C…

Q: Find the new balance for $1,000 left on deposit for 6 months at 4% interest compounded quarterly.

A:

Q: Let A and B be events in a sample space with positive probability. Prove that P(B|A) > P(B) if and…

A:

Q: The frequency of twin births has been increasing in recent years so that in 2022 about 4% of all…

A: From given in 2022 about 4% of all births were twins. and The probability of a birth being that of…

Q: Three different machines M₁, M2, and M3 were used for producing a large batch of similar products.…

A: In manufacturing processes, it is essential to ensure that the products produced are of high quality…

Q: Avery sets up a passcode on her smart phone, which allows only five-digit codes. A spy sneaks a look…

A: Avery sets up a passcode on her smart phone, which allows only five-digit codes. A spy sneaks a look…

Q: Henry and Samantha have decide to gamble on a game of chance. Initially, each of them has 2 dollars.…

A: We can model the progress of the game as a Markov chain with states (i,j) representing the amount of…

Q: 7. Joint Probability CGH Company has three sales departments, each contributing the following…

A: Given Information: There are three sales departments say A, B, C and each contributing the following…

Q: Please show me the answer of question 3 and 4

A: Given: Group A Group B 49 133 108 108 110 93 82 119 93 119 114 98 134 106 114 131…

Q: Suppose that 10% of Peloton bikes are defective and should be replaced. Peloton offers one-year…

A: It is given that, 10% of bikes are defective and should be replaced.

Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

A: 6 peoples are there.

Q: Consider the continuous random variable X whose pdf is given by f(z)=(a-³) LOSISI(I). (a) Find the…

A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…

Q: Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach…

A: Given that.   X~N( μ , ?)   μ=205.5 , ?=8.6     Z-score =( x - μ )/?

Q: EE eBook A local bank is using Winters' method with a = 0.2, ß = 0.1, and y = 0.5 to forecast the…

A:

Q: Suppose X and Y are discrete random variables with their joint probability distribution given by the…

A: Given Information: The joint probability distribution function of X and Y is,…

Q: Suppose a race takes place involving 15 participants. In how many different ways can the top three…

A: Given that Total participants=15

Q: 11 10- 8 0 10- 9. 8+ 7- 6- 5. 4 3. 0 11 10- 9- 8- 7- 6+ 5. 4. 3- 0 Scatter Plot A 1 2 3 4 5 6 7 8 5…

A: Residual plot 1 : Scatter plot : Scatter plot C Good ( but not perfect ) model

Q: 8. Drawing 10 cards and counting the number of diamonds drawn is a binomial distribution. What are…

A: Given Information: Drawing 10 cards and counting the number of diamonds drawn in a binomial…

Q: what is the Probability that a Student owns a Cellphone given that they don't own a laptop 2M40…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: hat percentage of your campus student body is female? Let p be the proportion of women students on…

A: From the provided information, Confidence level = 80% Margin of error = 0.042

Q: Example 7: Let X₁, X2, ..., X, be an r.s. with size n from n(0,1). Find the critical region of most…

A: Given information: Let, X1, X2, X3.....  Xn be a random sample of size n from a distribution Nθ,1…

Q: Question 6: In this question we will explore some of the weirdness of conditional probability (it's…

A:

Q: Use the Empirical Rule to solve. The graph illustrates a normal distribution for the prices paid for…

A:

Q: Probability There is a container of colored pencils 5 blacks,2 pink,4 orange,3 blues,and 6 red.what…

A: Answer:- Given, a container of colored pencils 5 blacks, 2 pink, 4 orange, 3 blues, and 6 red.…

Q: Over a particular period, an asset had an average return of 5.6 percent and a standard deviation of…

A: Given information- Average return, µ = 5.6% Population standard deviation, σ = 9.1% The expected…

Q: An aquarium contains K gold fishes, along with 18 other kinds of fishes. If a random trio of fishes…

A: The number of ways to choose 3 fish from total fishes K+18 is K+183. The probability of selecting at…

Q: A bagel shop has bagels in the following six varieties: plain, sesame, onion, blueberry, asiago…

A: There are 6 varities :  Each varities has atleast 20 bagels,  No. of ways to choose 20 bagels :  No.…

Q: Please show me the answer of question 1 and 2

A: Given: Here X is the random variable, X~Nμ,σ2 with unknown σ.

Q: Can you please explain the difference between the standard deviation and standard error of x and p,…

A:

Q: Calculate the 95% margin of error in estimating a population mean for the following values. (Round…

A:

Q: Suppose a basketball player has made 271271 out of 438438 free throws. If the player makes the next…

A: Introduction: Denote the random variable X as the amount of win by the other person when the game is…

Q: Suppose the average waiting time for a customer's call to be answered by a company representative is…

A: Given,Let random variable T: the waiting time.T has exponential distribution with mean(μ)=4 min.T ~…

Q: Suppose that 8% of the population of the U.S. is left-handed. If a random sample of 170 people from…

A: given data, suppose 8%  of the u.s is left- handed p=0.08q=1-p=1-0.08=0.92n=170we have to use normal…

Q: Let X be a continuous random variable with the cumulative distribution function [0, ja x≤0 ja 05…

A: Given,F(X)={0; x≤0x225; 0&lt;x≤51; x&gt;5

Q: The digits 3, 4, 5, 6, and 7 are randomly arranged to form a five-digit number. Complete parts (a)…

A: We have given that 3,4,5,6, and 7 are randomly arranged to form a five digit number

Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Here the given information is  On a ballot, the candidates for each office are listed together under…

Q: 3. Alice and Bob buy a bag of apples, which contains 10 good and 4 bad apples. They split the apples…

A: Given: In this case, Alice and Bob buy a bag of apples, which contains 10 good and 4 bad apples.

Q: Let X~ N(x, 16) and Y~ N(µy, 36). = = (i) Suppose we want to test Ho: μx 7 against H₁ μx = 8 at…

A: Given  X~NμX, 16 Y~NμY, 36

Q: c. Draw a random sample of size 1000 from Binomial(n = 3, p=0.3). Then plot a histogram and…

A: Given that a coin is tossed 3 time. Where, H = Heads,  T= Tails Asumed,   P(T)= 0.7 Let, X = the…

Q: Ant Co. has developed a new product, the A-Warren. It is now time to bring the A-Warren product to…

A: To determine the most that Ant Co should pay for any information regarding the success of the…

Q: Write the given information in the Venn Diagram and Answer the following questions. r The graph…

A: The graph of preferred social median platforms of grade 10 students is given.

Q: Consider a set of five webpages hyperlinked by the directed graph shown to the right. If a random…

A: Given:-

Q: Fill the missing values below using minitab, see the picture below Is the regression model…

A: Given the MINITAB regression output as Term Coef SE Coef T- Value P-Value VIF Constant 4437…

Q: of education and whether or not they regularly take vitamins:   Use of Vitamins Education Takes…

A: Here the given table is   we have to find the  the probability the person does not have a high…

Q: Let X be a continuous random variable with the probability density function 0, ja x 2 0, Find the…

A: Obtain the value of a.   The value of a is obtained below as follows:   From the information,…

Q: How many permutations of three items can be selected from a group of six?   Use the letters A, B, C,…

A: 1) The objective is to find the number of permutations of selecting three items from a group of six.…

Q: If 68% of all clouds seeded with silver iodide show spectacular growth, what is the probability that…

A: From the provided information, 68% of all clouds seeded with silver iodide show spectacular growth.…

Q: Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 35% chance, Bob has a 40%…

A: Given that, The event A is Alonzo bussing tables The event B is Bob bussing tables The event C is…

Q: 56% of all Americans are home owners. If 45 Americans are randomly selected, find the probability…

A: q-1)n = 45p = 0.56P(x=X) = nCxpxqn-x________binomial distribution