B: Calculate Expected value and standard deviation ? X p(x) 0 0.2 1 0.4 2 0.1 3 0.3

Q: probability that the member selected at random i from the shaded area of the graph is (Round to four…

A: Given that.   X~N( μ , ?^2 )   μ=20.5   , ?=5.3   Z-score =( x - μ )/?

Q: Let X and X, independence r.v. have same moment generating function (-) where tsa, let Y=aX+bX, ,…

A:

Q: B: Which of the following values cannot be probabilities of events and why? 4 4 0.87,-0.95,…

A: To find:  Which of the following values cannot be probabilities of events and why?

Q: A spinner is broken into sections labeled 1 to 38. What is the probability that, on your next spin,…

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Q: A personnel director wishes to compare the effectiveness of two methods of train- ing industrial…

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Q: Find the margin of error for the given values of c, s, and n. c=0.90, s=4, n=20 Click the icon to…

A: Given,c=0.90 , s=4 , n=20derees of freedom(df)=n-1df=20-1=19α=1-0.90=0.1α2=0.05t0.05(19)=1.729…

Q: Question 2 x 1 | | | | (a) PX = 2) (b) PX > −2) (c) P(−1 < X <1) (d) PX < -1 or _X = 2) 2

A: Given data is x -2 -1 0 1 2 f(x) 1/8 2/8 2/8 2/8 1/8

Q: 12- Let Mx,y (t₁, t₂) = e4t+t₁t₂+8t. Then var (Y) is (a) 13 (b) 7 (c) 16 (d) 9

A:

Q: Find the z-scores for which 86% of the distribution's area lies between -z and z. Click to view page…

A: It is given that the 86% or 0.86 area lies between two z-scores.

Q: Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran…

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Q: Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) =…

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Q: Suppose that the continuous random variable X has a cumulative distribution function given by 0, if…

A: Solution Given That, Suppose that the continuous random variable X has cumulative distribution…

Q: A black ball is drawn on the first draw. ii. Two green balls are drawn. iii.…

A: According to our guidelines, we can answer only three sub-parts. So, please re-post the rest part.

Q: The monthly utility bills in a city are normally distributed, with mean of $100 and a standard…

A: Given,Mean(μ)=$100standard deviation(σ)=$12

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A:

Q: probability that the number on the ticket is divisible by 2 or 3 is

A: here given ,  A bag contains 100 tickets Numbered 1,2,3,....100  there are total 100/2 =  50 Numbers…

Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: Here Given  Total No of Men=6 Total No of Women=7

Q: X 1 2 expecta ctation fo P(x) 0.23 0.41 0.19 0.17 3 4 OA) 1.0 O this probability distribution?

A: x P(X) X*P(X) 1 0.23 0.23 2 0.41 0.82 3 0.19 0.57 4 0.17 0.68

Q: In rolling a pair of fair dice, what is the probablity of rolling a sum of ten?

A: The provided information is  The rolling a fair dice. The sample space is…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

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Q: What is the expected value (mean) of X?

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Q: A decision-making procedure to find out whether there is a significant difference between a claim…

A: Given statement is : A decision-making procedure to find out whether there is a significant…

Q: 5- If X and Y are uncorrelated, then they are not necessarily statistically independent. O True O…

A: Given a statement related to correlation, we have to write the statement is true or false.

Q: Example: the joint density for the random variables (X,Y), where X is the unit temperature change…

A: Solution:

Q: Sample space S is partitioned into E₁ and E₂ such that P(E₁) = 0.60 and P(E₂) = 0.40. Let D be an…

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Q: Find the indicated z-scores shown in the graph. Click to view page 1 of the Standard Normal Table.…

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Q: For the statement below, write the claim as a mathematical statement. State the null and alternative…

A: GivenThe standard deviation of the base price of a certain type of all-terrainvehicle is atleast…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the following…

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Q: A baseball player's batting average is 0.341, which can be interpreted as the probability that he…

A: Solution  Given That, A baseball player's batting average is 0.341, which can be interpreted as the…

Q: A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed,…

A: Given The null and alternative hypothesis isH0:p≥0.3Ha:p&lt;0.3

Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store…

A: Given: A lumber claims that at least 10% of its new customers will return to buy their next order of…

Q: (a) c (b) E[X] (c) E[X²]

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Let X be a continuous random variable whose probability density function is: x ≥ 1 0, x < 1 Then…

A: Answers: 0.75   1

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

A: Given: There are 7 letters A, B, C, D, E, F, G

Q: Which set of data would probably show a strong positive linear correlation?

A: here use Correlation  Correlation are positive , negative or No correlation  if there is Increase in…

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines i solved only first question .thank you  Given X~μμ,σAverage μ= 5 year…

Q: Given the cumulative distribution function (c.d.f) 0, x+4 6 Compute P(-2 < X ≤ 0.5). a. b. C. d. FL…

A: Find the pdf first.

Q: A letter is known to have come either from LONDON or CLIFTON. On the postmark only the two…

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Q: 10- The following Markov chain is irreducible /1/3 0 0 0 1 1/5 2/31 0 4/5/

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Q: coin is tossed three times. What is the probability of tossing at least two heads? O b) / Od ²/ Od)…

A: toss coin three times  P(atleast two heads) = ? toss coin 3 times {HHH,HHT,HTH,HTT,TTT,TTH,THT,THH)…

Q: It is claimed that the average life span of people in rural area is more than 64 years old with a…

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Q: For each level of confidence c below, determine the corresponding normal confidence interval. Assume…

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Q: The Philippine Red Cross says that about 11% of PH population has Type B blood. A blood drive is…

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Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A|B) = 0.1. Then P(A|AUB) is

A: Solution-: Given: P(A) =0.5, P(B)=0.3, P(A/B)=0.1 Then we determine P(A/A∪B)=15 is true or false

Q: Find the indicated z-scores shown in the graph. Click to view page 1 of the table. Click to view…

A: Given that.   X~N( μ , ?^2 )   μ=0    , ?=1   Z-score =( x - μ )/?

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}, where each point is assumed…

A: Given sample space is, S=(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4). Each point is equally likely.…

Q: Suppose that there is a 1.7% chance a planet will develop life, a 2.8% chance that the life will…

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Q: Ship collisions in the Houston Ship Channel are rare. Suppose of collisions are Poisson distributed,…

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Q: When flipping a coin, two outcomes are possible, such as head and tail. what is the sample space ?

A: GivenA coin is flipped one time

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A: Given the letters {A, B, C, D, E, F, G}. Using these letters we have to generate 3 digit ot 4 digit…