Suppose the probability distribution of X representing the number of PWD passenger in an subway station is given in the below table. Find the value of k that will make this table a probability distribution; X p(x) O 1/16 O 16 1 k 2 3k 3 Sk 4 7k

Q: 3. Consider rolling a fair six-sided die, so that S = {1, 2, 3, 4, 5, 6}. Let X(s) = 5, and Y(s) =…

A: Given that  A fair six-sided die is rolled  S = { 1 , 2 , 3 , 4 , 5 , 6 }

Q: Find the indicated critical value of 0.02

A: We need to find the indicated critical value of 0.02.

Q: A fruit-canning company produces 250ml pineapple juice cans at its bottling plant. The population…

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Q: 9. Sarah has 9 crayons: 3 blue, 1 red, 2 green, and 3 yellow. a) In how many ways can she line them…

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Q: Use the fact that the mean of a geometric distribution is μ =- and the variance is o² = - Р 2 Р 1…

A: Given that mean of geometric distribution is μ=1p & σ2=qp2

Q: 1. Suppose X~ N(₁,02), i = 1,..., n are independent random variable State the distribution of each…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: 1. If a poker hand (5 cards) is dealt from a well-shuffled, standard deck, calculate the number of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Amanda Fall is starting up a new house painting business, Fall Colors. She has been advertising in…

A: Given that, Amanda Fall is starting up a new house painting business, Fall Colors. She has been…

Q: 3. At a certain gas station, 40% of the customers use regular gas, 35% use plus gas, and 25% use…

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Q: Find the area of the shaded region with density scores of the 0 and mean of 1 z=-1.16

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Q: We would like to test a hypothesis regarding one population mean.  The null hypothesis is H0: μ =…

A: GivenThe null hypothesis is H0:μ=31.7sample size(n)=22Mean(x)=28.9standard deviation(s)=6.4

Q: Using the appropriate table in textbook (Keller, Appendix B) or Excel, a. find z.05. Draw the…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: 5. The Toronto Blue Jays are going to the playoffs! Let's consider a best of three playoff series.…

A: 5)  Given : Let W represent that jace will win L represents that jace will loose Therefore, p(W)…

Q: Three mutually exclusive events occur with probabilities P (E₁) = 0.30, P (E₂) = 0.20, and P (E3) =…

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Q: Consider the density curve plotted below: PDF(X) 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02…

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Q: Problem 2 Let (,,P) be a probability space. (1) For measurable events A,B,C E A with P(C)>0 and…

A: 2. Given information:

Q: average weight of 4150 lb and SD = 450 lb Find each as a 2-decimal percentage - DO NOT put the %…

A: Given that.   X~N( μ , ?)   μ=4150     , ?=450   Z-score =( x - μ )/?

Q: 2. Let X and Y be continuous random variables having the joint density function: [c(x² + y²) 0 f(x,…

A: Given that        c = 3/2  The the joint pdf of x and y is given in the question.

Q: A bag contains n cards, each having one of the numbers (1, 2, 3, ..., n) written on it. If all…

A: Given Information: A bag contains n cards, each having one of the numbers {1, 2, 3,.....,n} The…

Q: (D) If the student is an Arts & Sciences major, what is the probability that the student is from…

A: Formula for conditional probability  P(A | B) = P(A and B) / P(B)

Q: Use the sample data and confidence level given below to complete parts (a) through (d). ← A drug is…

A: Given n=4183, x=160

Q: The sample mean number of pretzels consumed for Treatment 1, rounded to four decimal places, is…

A: Hint:  sample mean =1n∑xi Sample Variance s2=∑xi-x¯2n-1

Q: On a vacation, you ask your neighbor to water a diseased plant that you are taking care of while you…

A: Event is the possible chance of all the observation can involve. If an event happen already based on…

Q: i) Let X be a random variable that is approximately normal. Assume the population standard deviation…

A: i)Givenstandard deviation(σ)=11.6confidence interval=95%Margin of error(E)=2

Q: Find the sample means of the number of pretzels consumed for the remaining treatments, rounding your…

A: Given data: Treatment 1 Treatment 2 Treatment 3 Treatment 4 9 5 2 5 7 9 6 1 3 0 1 5 14 3…

Q: A fair coin is flipped and it is noted whether heads or tails show. A fair 4-sided die is tossed and…

A: When a coin is tossed then total possible outcomes are = {Head, Tail} = 2 Now, probability formula…

Q: Suppose that W is a discrete random variable and its cumulative distribution function is given in…

A: E(W)=3.375 P(W=3) =0 P(2 <= W <= 5)=19/32

Q: Given a normal distribution with μ = 50 and o= 10, find: (a) the area under the curve to the left of…

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Q: In how many ways can a class of 12 students be divided into 4 groups compose of 3 members each?…

A: Given that  There are 12 students. Those are divided into 4 groups composed of 3 members. For 1st…

Q: An online gambling site offers a first prize of $5000, a second prize of $3000, and a third prize of…

A: given data  first prize of $5000, a second prize of $3000, and a third prize of $1000. It costs $10…

Q: A continuous random variable X that can assume value between x-2 and x-5 has a density function…

A: For the given density function Find the probabilities

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Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food…

A: A B C D total order accurate 317 272 246 136 971 order not accurate 30 57 35 12 134 total…

Q: Select a committee of seven members from a group of six women and eight men. The order of selection…

A: Given that  A committee of seven members  Group of 6 women and 8 men

Q: 36% of women consider themselves fans of professional baseball. You randomly select six women and…

A: The following information has been provided: The probability of success is p=0.36 The total number…

Q: 1) Consider the following extensive form game of coordination. Firms 1 and 2 must choose between…

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Q: A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective.…

A: Let n be the sample size  X be the number of defective fuse  X~Bin(n,p)

Q: 7. The expected number of people showing up for an event has mean 75,000 and variance 5, 000². (a)…

A: Introduction: Denote X as the number of people showing up for an event. It is given that X has a…

Q: These data represent the marks of thirty students in a mathematics course exam: 35 44 40 44 90 80 60…

A: Given information: Arrange the given data in ascending order: 32, 35, 35, 36, 40, 40, 44, 44, 44,…

Q: John and Jess play a game where they each roll a die, but John's die is six-sided and Jess's is…

A: It is given that there are totally forty-eight outcomes.

Q: How many ways can the letters in the word PARALLEL be arranged if the letters P and R are together?

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Q: 4. Let X'= (X₁,..., Xn) be an n-dimensional random vector whose covariance matrix exists. Let A be…

A: Let's simplify Covariance of AX,  Cov(Ax)= E[(Ax-E(Ax))(Ax-E(Ax))]' = E[(Ax-A*E(x))(Ax-A*E(x))]'

Q: The probability that it is Monday and that a student is absent is 3/100.Because there are 55 school…

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Q: How

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Q: The values in the column for the degrees of freedom are based on the number of population means, or…

A: The information provided in the question are as follows : k = number of treatments or population…

Q: If event A is independent of event B and A is independent of event C. Which of the following…

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Q: In how many ways three girls and nine boys can be seated in two vans, each having numbered seats, 3…

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Q: Using the t-table, determine the critical value(s) (t-value(s) that delineates the boundary of the…

A: Given;sample size(n) = 19level of significance(α) = 0.05right tail test

Q: A frequency distribution is shown below. Complete parts (a) through (d). The number of televisions…

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Q: A random variable X has a density function f(x)=where - ∞0 < x < 00. a. find the value of the…

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