A distribution X ~ U(1, 13).  Find k where  P(x < k) = 0.7.

Q: Let X and Y be independent v.a with uniform distribution on the interval (0, 20) and (0, 30)…

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Q: Q3: Consider the Gaussian Distribution: p(x) = ,-λ (x- a) 2 - Where A and a are constants, Find (x),…

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Q: Find the mean value of f(x) = |x| on the interval [-1, 4]. %3D

A: Given that: f(x)=|x| in [-1, 4]

Q: Assume that X has the distribution N (10, 4), find:   P (Z > - 3)     P (11.36 < X < 16)

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 4 X~N (10, 4)

Q: is the b(20,0.1), find approximate value of P(12SXs 14). using the Poisson approximation

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Q: distribution is given as X ~ U(0, 12). Find P(x > 3)

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Q: Let X be uniformly distributed over (a, ß). Find (a) E[X] and (b) Var(X).

A: Given that,X is uniformly distributed over  i.e.

Q: 5.29 Consider a one-way road where the cars form a PP(1) with rate X cars/sec. The road is x feet…

A: The complete solution is in given below

Q: d. What is the probability that more than 5 minutes will elapse before the 1st hit is observed?…

A: Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let…

Q: The random variable X has a pdf f(x) = 5x 0≤x≤0.6325. Find P(X≤ 0.4) 0.333 0.632 0.486 O 0.413 0.400…

A: pdf of x : f(x) = 5x  ; 0≤x≤0.6325   we have to find P(x≤0.4) = ?

Q: Does a distribution exist for which: Mx(t) = (t)/(t-1) for |t| < 1? If yes, find it, otherwise prove…

A: Given the distribution function,  Mx(t) = (t)/(t-1) for t &lt; 1

Q: A distribution is given as X ~ U(0, 15). Find P(x < 4) and round to the nearest hundredths place.…

A: It is given that the X~U(0,15).

Q: For constants o > 0 and a > 0, the function aoª p(x) xa+1> where x > 0, is called a Pareto…

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

Q: Let X N(0, 1), and let Z ~ Unif{-1, 1} (i.e. P(Z = −1) = P(Z = 1) = 1/2) be independent of X. Let…

A: It is given that X~N0,1 and Z=-1       p=0.51          p=0.5 X and Z are independent.

Q: "Time headway" in traffic flow is the elapsed time between the time that one car finishes passing a…

A: d)

Q: P(1.15 < Z < 2.77) =

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: 8 models a continuous probability for 1 < x < 8. 7x2 The function f(x) Compute the median:

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Q: Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)

A: Obtain the mean and standard deviation for the uniform continuous model U(1,13). Obtain the mean of…

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: Show all work

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Q: Continuous variable X is uniformly distributed on the interval [7.5, 32.6]. What is its interquartil

A: Given that X is uniformly distributed on the interval [7.5, 32.6]. fx=132.6-7.5      =125.1,…

Q: x has the uniform distribution [0,1] put y=2x + 5 then y has the uniform distribution on the…

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