Q1: If the random variable (x) has a uniform distribution on the interval [0,6]. Find: a) P(1 < x< 4). b) The mean E(x).

Q: Q38 T Xhas Poisson distribution and P(X = 0) = what is E(X).

A:

Q: d) Due to the symmetry of the normal distribution we know that P(X > 30) = P(X <

A: Givenμ=42σ=6Let "X"=length(in cm) of an eel

Q: Anya has three identical tea cups. She randomly stores each cup in one of three cupboards, where…

A: From the given information, Anya has 3 identical tea cups. She randomly stores each cup in one of…

Q: If the maximum observation is (70) and the distribution range is equal to (20) * :then the minimum…

A: Answer: From  the given data

Q: Suppose that X and Y are independent random variables with the probability densities given below.…

A: Suppose that X and Y are independent random variables with the probability densities given below.…

Q: If X ~B(60,0.18), use the normal distribution to approximate the binomial distribution for: (i)…

A: Given, X ~B(60,0.18) i.e., n=60 p=0.18 P(X=10)=?

Q: [10] The random variable Y has normal distribution with a mean of 30 and a variance of 16, i.e. Y~…

A: In this problem, a random variable Y is described to follow a normal distribution with a mean of 30…

Q: (E,-0,) Estimate 0 by minimizing the function where E, is the expected number of j=1 losses in the…

A:

Q: A normal distribution has μ = 32 and a = 5. (a) Find the z score corresponding to x = 27. (Enter an…

A: Given that  X~N (μ = 32  , σ = 5) μ= 32  , σ = 5 Formula for Z-score Z=(X-μ)/σ

Q: X is a normally distributed random variable with mean −25 and standard deviation 4. Find the…

A:

Q: F(12,6). Find the following: (a ) F0.05 (12,6). (b) F0.95 (12,6). (c ) P(0.33 ≤ W≤ 4.00).

A: (12,6)=1/F0.05(6,12)=1/3=0.33Given that W ~F(12,6)where r1=12 and r2=6 a) F0.05(12,6) is given in…

Q: (E,-0,) Estimate 0 by minimizing the function where E, is the expected number of j=1 losses in the…

A:

Q: The profits of a mobile company are normally distributed with Mean of R.O (17 x 10) and standard…

A:

Q: (a) Mean, variance, and standard deviation of X (b) P(X<2.5). (c) Cumulative distribution function

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Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: Assume that you maximize expected utility with linear utility function u(x) = x. Let P denote your…

A: The maximum expected utility of the linear utility function .The subjective probabilities are.The…

Q: A random sample of size n₁ = 16 is selected from a normal population with a mean of 74 and a…

A: given data sample 1: μ1  = 74σ1 = 6n1 = 16sample 2 :μ2 = 70σ2 = 16n2 = 6(a)  P(x¯1-x¯2&gt;4) = ? (b)…

Q: A distribution X ~ U(2, 9). Find P(x < 6). Round answer to three decimal places.

A: We have find distribution..

Q: 2) Let X be normal variate with a mean of 65 and standard deviation of 5. Find the value ofa', if 1)…

A: Given : Mean  = 65 Standard deviation  = 5

Q: Let m|q0 denotes the probability that an individual who survives at the initial time t=0 will die…

A: we will provide the solution of all 3 parts

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: Hello, Thanks for posting your question here.  I believe that here you're asked to find µx̅  and σx̅…

Q: 16. (BONUS) Use Chebyshev's Theorem to find the following probability. If u = 5, o? = 9. Assume x…

A:

Q: A) What is the z-score of x = 3, if it is 1.1 standard deviations to the left of the mean?  B)…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: George plans to take simple random sample of size 50 from a population, and to compute the mean…

A: Given: The size of the sample is n=50. The population mean is μ=145. The population standard…

Q: Q4-Find the distribution function associated with f(x) = , for 0 < x < 1 or 2 < x < 4, and zero…

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Q: For a certain year, the average annual salary in Pennsylvania was $25,000. Assume that the salaries…

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Q: you should calculate the required probabilities using tables A model for normal human body…

A: Assume, X be the random variable representing the normal human body temperature (in °F). The…

Q: Let X-Bin(5, 0.2), and X2-Bin(3, 0.2). a. What is the distribution of Y=X₁+X₂? b. Please calculate…

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Q: you should calculate the required probabilities using tables A model for normal human body…

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Q: When a man observed a sobriety checkpoint conducted by a police​ department, he saw 656 drivers were…

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Q: Uniform distribution of traffic accidents on a 123 km road (f(x)=C) As it is accepted; a) Determine…

A: If a uniform distribution is ranges in interval a,b, the probability distribution function is given…

Q: Q1 Let probability distribution function of Xbe defined by x = 0,1, 2, 3. a P(x) = otherwise. Find…

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Q: The distribution function for a random variable X is -2x F (x) = { x > 0 x 2?

A: Find your answer below

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!