Question 1: The cumulative distribution function of a continuous random variable X is given by (0, x < -2 Fx(x) = }c(x +2)2,-2 sxS3 1, x > 3 %3D where c is a constant. According to the information given above, find Var(X).

Q: The table shows the number of deaths in the U.S. in 2020 due to a variety of causes. The population…

A: From the provided information, The table of number of deaths in US in 2020 due to a variety of…

Q: In the fifth grade at Lenape Elementary School, there are 4/7 as many girls as there are boys. There…

A: The provided information is The ratio of girls and boys is=4:7 Let (x)=4x,7x Boys=66 Then, value of…

Q: 81 100 88 85 84 100 91 98 80 Test B 93 73 83 98 77 85 85 84 90 (a) Is there significant difference…

A: Test A : 81,100,88,85,84,100,91,98,80  Test B : 93,73,83,98,77,85,85,84,90

Q: Q. Fit a Poisson distribution to the following data by Recurrence Relation Method. x: 0 3 4 5 6 7…

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Q: Q 4/ After collecting considerable data, the engineers decided to model the variation in shaft…

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Q: If n=360 and p (p-hat) =0.48, find the margin of error at a 95% confidence level Give your answer to…

A: Given data,n=360p=0.48Z value at 95% CI is Zc=1.96Margin of error E=?

Q: 3. Betty is playing a game with a fair die. If she rolls a prime number, she scores 10 times the…

A: here as per your requirement i have calculated Q.3 here fair dice is tossed ,  so total possible…

Q: Q1. Age and pulse rate on a study of 6 people is as follows. Age 1 5 Pulse 130 10 15 20 25 110 100…

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Q: Every one of us is all too familiar with the phenomenon of forgetting. Facts that we clearly…

A: a) Given information: t y 15 min=15/60h=0.25 h 66.3 1 h 47.1 8 h 39.3 1 day=24 h 34.8…

Q: The manager of the Green Hills Swimming Club is planning the swimming team program. The first team…

A: The objective is to construct the Project network diagram: To develop an activity schedule.

Q: Formulate the null and alternative hypothesis, identify the level of significance, illustrate if CLT…

A: Given that 84% prefer to be contacted through online messaging. Null Hypothesis: H0:p=0.84…

Q: Consider a continuous-time Markov chain X(t) on S = {1,2,3} with associated em- bedded chain given…

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Q: plz solve it within 30-40 mins I'll give you multiple upvote

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Q: 3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three…

A: (3) No.of long distance runners = 10 No.of sprinters = 8  No.of jumpers = 5 consider that a team of…

Q: Two cards are selected in sequence from a (a) .1 standard deck. Find the probability that.. the…

A: Here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , PLZ REPOST REMAINING WITH NOTE I NEED…

Q: (a) Calculate the sampling error at 95% confidence level   (b) Construct a 95% confidence interval…

A: Given that  Sample size n =25 Sample mean =53 Population standard deviation =5.5 NOTE:- According to…

Q: For any real number y, defined y* by {y, if y > 0 y+ %3D 10, if y < 0 Let c be a constant a. Show…

A: Given any real number y defined by y+ defined by the function given.

Q: Question 1: The cumulative distribution function of a continuous random variable X is gi- (0,x < -2…

A: Given information: Consider, the density function, The c value is calculated below:

Q: 1. Determine the permutations of the following. a. CELLULAR b. FLAMMABLE Ç. AVAILABLE

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use basic of permutation   Prn =  n!(n-r)!

Q: Two cards are selected in sequence from a (a).1 standard deck. Find the probability that.. the…

A: here given , there are total 52 cards in standard deck there 4 suits in deck of cards  and  each…

Q: A study determined that 8% of persons age 65 to 74 have a certain symptom. A group of 21 persons age…

A: Givenp=8%=0.08No.of persons age 65-74 (n)=21Let "x" be the no. of people have the symptoms…

Q: QUESTION 5 In the video game Animal Crossing: New Horizons, there are six types of fruit that grow…

A: The probability of selecting a specific fruit at random is 1/6,

Q: 3.) In a particular epidemic disease, 400 individuals were surveyed by a well-established…

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Q: • Question 4 If n 400 and p (p-hat) 0.9, construct a 99% confidence interval. Give your answers to…

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Q: According to a report done by SAJ Power, the mean lifetime of the light bulbs it manufactures is 45…

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Q: A thief steals stereo systems from the parked cars. Every morning he starts searching parked cars,…

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Q: A fair die is rolled five times. What is the probability of obtaining at least four 3​'s?

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Q: a. the weapon that they will test is functional? b. the second weapon is defective given that the…

A: here given there are total 150  weapons  70 are special gun , non special gun  are 80  25 defective…

Q: Ex-1 Write down the outcome set or the sample space in the following experiments: (a) A coin is…

A: a) When A coin is tossed 2 times then outcomes of the Sample space is given by S = { (HH), (HT),…

Q: Q1: Let x1, X2, ..Xn, Xn41 be a random sample of size n+ 1,n > 1, from a distribution that is N(H,…

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Q: A recent survey of students at Regina Mundi College included a question about the number of school…

A: We have given that,  Number of days missed (x)    frequency (f)  0…

Q: QUESTION 1 Z is a random variable subjecting to a standard normal distribution. Find a value of c…

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Q: 3. Let the random variable Y have the p.d.f. g(y) = cy , –1< y <1, zero elsewhere. (i) Determine the…

A: A continuous function f(x) is said to be the probability density function of the continuous random…

Q: In a medical mission among adults, the distribution of cholesterol readings, in mg/dl is normally…

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Q: A set of height symmetrical coins where tossed 128 times and the frequency throws observed where as…

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Q: 3. The random variable r represents the annual rainfall depth in El Paso in inches. Be- tween values…

A: We have given that the random variable x represents the annual rainfall depth in El Paso in inches.…

Q: According to a report done by S& J Power, the mean lifetime of the light bulbs it manufactures is 45…

A: Write the Hypotheses ?

Q: Q1: let an experiment consist of tossing a pair of unbiased dice. Let X be a random variable…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Question 1: The cumulative distribution function of a continuous random variable X is given by (0,x…

A: Given information: Fx=0, x&lt;-2c(x+2)2, -2≤x≤31, x&gt;3 Consider, the density function, fx=ddxFx…

Q: Suppose X and Y are independent random variables. X is uniformly ) and Y is exponentially…

A: We have given that  The random variable X and Y are independent. X is uniformly distributed on (0,…

Q: 5. Show that for a normal distribution with mean u and variance o, the central moments satisfy the…

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Q: roblem No. 1: Suppose that Y1, Ya, Y3 denote a random sample from an exponential distribution with…

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Q: A quality control inspector is checking a sample of lightbulbs for defects. The table summarizes the…

A: For the given data  find the probability that the lightbulb is defective​, given that it is 50…

Q: Two cards are selected in sequence from a (a) .1 standard deck. Find the probability that.. the…

A: here as per guidelines i have calculated first main question  here in standard deck there are total…

Q: It is estimated that 15% of teens own iphone. In the MDM4U class there are 25 teens who own…

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Q: Score frequency <cf 95 – 99 1 110 90 – 94 4 109 85 – 89 13 105 80 – 84 22 92 - 75 – 79 19 70 -- 70-…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Compare the chance that a rainy day has lightning to the chance that a day with lightning has rain.

A: here given , Suppose that in a year of 365 days, it rains on 21 days. There is lightning on 16 days.…

Q: 3. A random variable that can be used to find a 0.954 confidence interval for u, the mean of the…

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Q: Prove that MSE(@) = v(ô) + [Bias(@)]?

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Q: what is the probability that she will get: a. a fresh egg given that it is a chicken egg? b. a…

A: It is given that P(chicken egg) = 12/29 P(fresh egg) = 15/29 P(fresh and chicken egg) = 8/29