Suppose that T is a discrete randomvariable which takes on values:12, 18, 24, 30, 36, 42, 48, 54, andsuppose further that U is acontinuous random variable that is agood approximation for T. Which oneof the following approximatesPr 18 T 36]?A. Pr[18 < U ≤ 36]B. Pr[27 < U <33]C. Pr[21 < U <39]D. Pr[27

Suppose that T is a discrete random variable which takes on values: 12, 18, 24, 30, 36, 42, 48, 54,…

Answered: Suppose that T is a discrete random…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Consider the function -x² + 7.98x – 12.716. a. Normalize it so that it is a PDF on [2.20, 5.78]. b. If that is the PDF for a random variable X, what is the probability that X < 4.67? 2. Consider the function In x. a. Normalize it so that it is a PDF on [2.80, 6.76]. b. Compute the expected value of the PDF on that interval. c. Compute the variance of the PDF on that same interval. 3. Consider the function e-x/116.0. a. Normalize it so that it is a PDF on [0, 0). b. Compute the formula for xa. c. What is the VAR when a = 0.95? d. What is the ETL for that same a?
Suppose that W is a discrete random variable which takes on values: 12, 17, 22, 27, 32, 37, 42, 47, and suppose further that X is a continuous random variable that is a good approximation for W. Which one of the following is approximated by Pr[24.5 < X < 39.5]? O A. Pr[27 < W < 37] B. Pr[22 < W < 42] C. Pr[22 < W < 37] D. Pr[27 < W < 37] E. Pr[22 < W < 37]
2. a) Let X and Y be independent identically distributed binomial random variables, X~ Bin(3, 0.4) and Y ~ Bin(3, 0.4). i) Compute the probability P(X = 0). ii) Compute the probability that the product XY equals 0, that is, compute P(XY = 0). b) The actual amount of jam (in g) that a filling machine puts into "150 g" jars may be looked upon as a random variable having a normal distribu- tion with σ = 6 and mean μ = 155. What proportion of jars, in the long-run, contain less than 150 g? N(0, 1), Give your answer in terms of the function, where for Z (z) = P(Z), and a give a sketch of the normal curve with a shaded area that corresponds to the required probability.
Assume that X and Y are independent continuous random variables. Suppose that X in uniformly distributed on the interval [1,12] and Y is uniformly distributed on the interval [1,8]. Find O 0.01394 O 0.01533 O 0.01673 O 0.01255 O 0.01115
Q4 and Q5 pleaaaaase
Suppose T and Z are random variables. a. If P(T> 2.82) = 0.06 and P(T 0.84)=P(Z 0.84). a. P(-2.82 ≤ T ≤ 2.82)= w an example Get more help Question 7, 5.1.22 > Part 1 of 2 27 I PISS tv MAG
Suppose T and Z are random variables. a. If P(T> 2.98)= 0.03 and P(T0.53) = P(Z0.53). a. P(-2.98STS2.98) =| Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All MacBook Air F3 000 F4 F7
The moment generating function of the continuous random variable X is given below: Which of the following is the second moment uz of the continuous random variable X with respect to the zero point? X sürekli raslantı değişkeninin moment çıkaran fonksiyonu aşağıda verilmiştir: Mx(t)= 1- 20t X sürekli raslantı değişkeninin sıfır noktasına göre ikinci momenti u, asağıdakilerden hangisidir? 20 - O A) 200 O B) 420 O C) 400 D) 100 O E) 800
Please assist with this practice problem
(c) Let X and Y be discrete random variables, with X~geop.75 and Y~ Poiz. Assuming that X.Y are independent, determine E[Y.3*).
The probability function of the discrete random variable X is given below: The value of the moment generating function of the random variable X for t = 0 is which one? X kesikli raslantı değişkeninin olasılık fonksiyonu aşağıda verilmiştir: 21 - O A) 5 x =-1,0 16 O B) 2 1 x = 1 f(x)={ 8 O C) 0 x-1 O D) 1 x = 2,3 4 O E) 3 0, ö.d. X raslantı değişkeninin moment çıkaran fonksiyonunun t=0 için değeri asağıdakilerden hangisidir?
Let X1 and X2 be discrete random variables with joint pdf given by the following table: X2 1 2 3 1 1 1 12 2 1 X1 3 1 2 18 4 15 a) Find the marginal pdf's of X, and X2 b) Are X, and X2 independent? Why or why not? c) Find P(X1 < X2)

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