Suppose that a positive continuous random variable X has probability density function given by f(x)=c(14-5x^2), where c is a constant. What is the variance of this random variable? TYPE YOUR ANSWER AS THE NEAREST NUMBER WITH TWO DECIMAL DIGITS.

Q: e. How important is understanding the concept of probabilities and percentiles in this situation?

A: Percentiles are used in probability theory.

Q: 4. The PDF of rand om variable W 1S fw (w) = {c(w + 5), 0, -5 <w <7 otherwise a. Determine the value...

A: We have given that  Probability density function (Pdf) fW(w)= c(w+5) , -5&lt;w&lt;7             0 , ...

Q: Round your answers to 4 decimal digits.  A particular telephone number is used to receive both voic...

A: Let X be particular telephone number is used to receive both voice calls and fax messages from binom...

Q: a. What is the sample space? b. What is the probability of selling 5 laptops the next day? c. What i...

A: here use given table sample space is set of all possible outcomes here outcomes as number of laptops...

Q: When do we use z-distribution? A.) when the standard deviation is unknown. B.) when the population i...

A: As per our guidelines we are supposed to answer only one question per post so I am solving first que...

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed ...

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Q: 1. Given a deck of 30 cards labelled with numbers 1- 10 (with 3 cards of each number), how many card...

A: From the given information,  A deck of 30 cards labelled with numbers 1-10 (with 3 cards of each num...

Q: Consider a binomial experiment with n = 20 and p = 0.70. %3D a. Compute f(12) (to 4 decimals). b. Co...

A: As per company guidelines I solved exactly three subparts of the question .thank you 

Q: For items 1-3, please refer to the problem below: The average grade of the students in Statistics is...

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Q: An engineering professor conducted a survey regarding the favorite subjects of the students. The fol...

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Q: . Suppose that the joint p.m.f of X and Y is modeled as fx (x, y) = s(x + y), x = 1, 2, 3 and y =1, ...

A: It is given that The joint PMF of random variables X and Y is f(x, y) = c(x + y), x = 1,2,3 and y = ...

Q: A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater th...

A: Given that  A coin is tossed and a die is rolled. Sample space=S=(H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T...

Q: 2. Marissa is raising chickens and wants to build a fenced-in enclosure next to her chicken coop. Sh...

A: In this question given that Marissa has 100 feet of chicken wire fencing Find out draw a rectangle a...

Q: IV. АCTIVITY: The following are the heights of four students in centimeters. Suppose samples of size...

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Q: Suppose the grades in a finite mathematics class are Normally distributed with a mean of 75 and a st...

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Q: Nlustration 16.21. There are three plants in a factory producing the same product independently. Exp...

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Q: The table shows the distribution, by age, of a random sample of 3150 moviegoers ages 12-74. If one o...

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Q: Show that number of zombie they encountered per hour and their corresponding probability. How many z...

A: Expected value can be got by multiplied by the value with probability  The consistency can be measur...

Q: A certain type of storage battery lasts one the average 3.0 years with a standard deviation of 0.5 y...

A: Let X be the random variable from normal distribution with mean (μ) = 3.0 and standard deviation (σ)...

Q: An event B has probability 0.6. If A and B are An event A has probability 0.7. independent, which of...

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Q: lim x - 9 Example 25. X →3 x² - - 5x + 6

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Q: Find the experimental probability of rolling a 2.

A: We have given that the sample space  S = { 1, 2, 3, 4, 5, 6 }.

Q: checkout counter in a store. In how many ways can they line up if the first person in line is a man,...

A: HERE Total 6 persons are there  3 men and 3 women 

Q: Each of the letters A through F are written on slips of paper and placed in a hat. Priya selects a s...

A: A. Each of the letters, A through F is written on slips of paper and put in a hat.

Q: To perform a certain type of blood analysis, lab technicians must perform two procedures. The first ...

A: Suppose an experiment must perform two procedures. That is, A and B. A requires either a1 or a2 step...

Q: 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the pr...

A: X has a hypergeometric distribution N=2000 K=800 n=200 P(X&lt;=70)=? For hypergeometric and normal d...

Q: In your school with 400 Grade 11 students, the final examination in General Mathematics has a mean 3...

A: From the provided information, Mean (µ) = 38 Standard deviation (σ) = 4 X~N (38, 4) Here X be a rand...

Q: Teacher Tutorial Rate(in thousand)x A 12 C 16 D 20 24 F 28 SHOW YOUR COMPUTATION: (handwritten) 1. S...

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Q: Let X be the number of tails that turned up when two fair coins are tossed. What are the possible ou...

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Q: wo jurors are selected from 4 alternates to serve at a murder trial. Using the notation A1,A3, for e...

A: Sample space is the set of all outcomes of a random experiment.  

Q: A contractor is required by a county planning department to submit one, two, three, four, or five fo...

A: givenY: the number of forms required of the next applicant.given probability density fuction of Yp(y...

Q: what should we pay in return each time the sum does not exceed four to make the game fair?

A: Here two dice are rolled  So number of total outcomes = 6×6 = 36

Q: ) Calculate the ste ady state probability es der. a transition matrix with the fellowng probobilitie...

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Q: 2.2. Suppose the time T in seconds between cars arriving at an intersection has a probability densit...

A: given;suppose the time T in seconds between cars arriving at an intersection has a probability densi...

Q: A ball is selected at random from a bag containing a red ball, a blue ball, a green ball, and a whit...

A: Given,no.of red balls=1no.of blue balls=1no.of green balls=1no.of white balls=1Total no.of balls =4

Q: A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded...

A: The cube with faces labeled from 1 to 6 is known as dice Probability =  favorable outcomes / total o...

Q: are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

A: Here  No of total cards in Card deck=52 No of club card=13 So No of Non club card=52-13=39  

Q: If we randomly select a customer, what is the probability the customer buys none of the three items?...

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Q: The length of human pregnancies is approximately normal with mean u= 266 days and standard deviation...

A: Solution-: Given: μ=266days,σ=16days We find, (a) P(a randomly selected pregnancy lasts less than 26...

Q: A self-publishing novel writer is looking for book printing services. There are two shops, PrintO an...

A: 1. There are two shops, PrintO and iBook, for book printing services. The number of defects per prin...

Q: The accompanying table shows results from a Chembio test for hepatitis C among HIV- infected patient...

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Q: The first exam given in a professor's class has a mean score of 76.29 with a standard deviation of 6...

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Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

A: Given function is f(x)=13e-x3      if x≥00                if x&lt;0

Q: Consider a husband and wife with brown eyes who have 0.75 probability of having children with brown ...

A: Given data,Probability of brown eyes=0.75Probability of blue eyes=0.125Probability of green eyes=0.1...

Q: In a shoot out in a hockey competition, a player scores on 80% of his shots. a) What is the probabil...

A: A random variable X~Geometric distribution(p=0.8)q=1-0.8=0.2

Q: A sample of 50 students was taken from the local university. These students spent an average of $170...

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Q: d (d) a b d dx 2 3 4

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Q: Select your answer- C. Consider the required conditions for a discrete probability function, shown b...

A: Given that, A technician services mailing machines at companies in the Phoenix area. Depending on th...

Q: A jar has 100 marbles, 60 Red ones, and 40 Blue ones. You select 2 marbles (with replacement). (You...

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Q: Example 12 Evaluate lim 3x + 5x - 2 (a) X → -2 x² 3x – 10 -

A: