Question 16 The mumber students who enter a Library in an hour is a poisson random variable. and suppose that P(X= 0) = 0.12. Determine the mean and Variance of X. -2.12 None 2.21 2.12

Q: QUESTION 13 k. Use Poisson's distribution to calculate the A life insurance salesman sells on the…

A: We have given that,  X be the random variable from Poisson distribution with mean λ = 4  i.,…

Q: Question 3. Suppose that the random variable X is defined as X = 0.6X1 + 0.3X2 +0.1X3, where the…

A: Given: Where all three are independent x = 0, 1, 2, 3, 4, 5

Q: QUESTION 23 A random variable X has P(-5 130)=0.9251. Then the mean of X is 3238.64 O 106.96 •…

A:

Q: Question 8. Let X and Y be random variables with Var(X) 1, Var(Y) 3, and Var(X-Y)3D4. The…

A: Solution: From the given information,

Q: Question 5 Let X1 and X2 be random sample of normal distribution with mean 1 and 2 and variance 3…

A: Solution

Q: Question 1-30 Mr. Schultz is randomly distributing 15 rulers with centimeter markings and 10 rulers…

A: I am attaching image so that you understand each and every step.

Q: QUESTION 6. Measurements of maximum height of the waves in Marmara Sea over a long time period…

A: Solution : Given that, Let , y be a maximum height of the waves in marmara sea over along time…

Q: Question 27: Suppose that Y,Y,..,Y, are independent and identically distributed normal random…

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Q: QUESTION 12 A random variable X has P(5<X<19) 2 0.75. Using Chebyshev's theorem, the mean and…

A: We have to find mean and variance.

Q: QUESTION 4 A normally distributed random variable X with variance o2=256 and P(X> 130)-D0.6554.Then…

A: In question, Given that the variance of random variable X is 256 and P(X &gt; 130) = 0.6554 Then…

Q: 3.1 Consider the discrete random variable (Y) with the following probability distribution: P (y=y)=…

A: Probability distribution of a random variable gives the probability at each possible value of the…

Q: Question 12 Use the information below to answer Question 12 and Question 13. People arrive at a…

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Q: Question 14 The mumber of failures of a testing instrument from contamination particles on the…

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Q: Question 5 5 pts Assume that the random variable X is normally distributed, with mean 80 and…

A: We have to find out given probability...

Q: Question 2 Suppose Y is a continuous, uniform random variable that can take on any value between O…

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Q: Question 3: X is a Gaussian random variable with E[X] = 0 and P[-10<X<10] = 0.1. What is the…

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Q: QUESTION 17 The variance of a binomial random variable's distribution equals 8.40, for given values…

A: Introduction :-  Given that X follows Binomial distribution with n = 40 and p = 0.20 We have to…

Q: Question 14. Suppose that random variable X follows a Poisson distribution with parameter A = 4,…

A: The mean and the variance of the Poisson distribution is equal to   Now,

Q: 1 2 4 Given that p(X = 4) = 0.25, the cdf → 0.25 0.4 A B values for A, B in the table above are: O…

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Q: QUESTION 8 Given that Z is a standard normal random variable, P(-1.0<Z<1.5) is O 0.7745 O 0.8413 O…

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Q: QUESTION 6 A normally distributed random variable X with variance o2-256 and PO> 130)=0.9251. Then…

A: Given Sigma^2=256 P(X&gt;130)=0.9251 We want to find the value of mean

Q: QUESTION 16 Classify the following random variable according to whether it is discrete or…

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Q: Question 4 946 red firs 217 A buyer must decide whether or not to accept a shipment of 40 parts. The…

A: Solution-: Given: N=40,M=5, n=6 Our aim to find, (a) P(accept shipment no defective parts are…

Q: QUESTION 3 A random variable X has P(33<)X<53) 2 0.36. Using Chebyshev's theorem, the mean and…

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Q: Question 1 5 pts Suppose that you invest an equal amount of money in each of five Internet business…

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Q: Question 7. Let X be a random variable with variance 4. Also, let Y be a random variable with…

A: The variance of variable X is 4. The variance of variable Y is 1

Q: QUESTION 1 A normally distributed random variable X with variance o=256 and P(X> 130)-0.6554.Then…

A: Determine the value of mean of X. The value of mean of X is obtained below as follows:

Q: QUESTION 8 If X be a normally distributed random variable with variance of 25 such that P(X > 20) =…

A: Given information Variance = 25 Standard deviation ? = √25 = 5 P(X&gt;20) = 0.0778 P(X ≤ 20) = 1 –…

Q: QUESTION 4 A random sample of size n=100, froma population with standard deviation a=9 1. is used to…

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Q: QUESTION 10 The distribution function of a discrete random variable X is as given in the table below…

A: It was stated that the distribution function of random variable X is as follows: x 0 1 2 3 4…

Q: Question 2. Let X be a normal random variable with u = -5 and o² = 4. a) Find P(X –3|X > -5).

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Q: QUESTION 16 Consider the random variable Y, which denotes the number of reliable electrical circuits…

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Q: Question 2. Suppose that X1, ..., X, are iid random variables having a Poisson distribution with…

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Q: Question 12 2.5 F Suppose X is a random variable with mean 10 and variance 25. Suppose Y is a random…

A: We have find standard deviation.

Q: QUESTION 7 If 3% of all cars fail an emissions inspection, find the probability that 3 cars will…

A: Given,         X~Poisson λ=2.7         PX=x=e-λ λxx!; x⩾0

Q: QUESTION 5 A pediatrician wishes to recruit 4 women, each of whom is expecting their first child, to…

A: We have to solve problem number 5 and 6,in 5 we have given a condition and we have to find out the…

Q: QUESTION 7 Use the Poisson Distribution to find the indicated probability. The number of calls…

A: Given: Number of calls received per day or per 24 hours = 12 So, number of calls received per hour…

Q: QUESTION 3 The number X of refrigerators sold per day at a local appliance store is shown in the…

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Q: QUESTION 24 A normally distributed random variable X with variance o2=256 and P(X> 130)-0.9251. Then…

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Q: QUESTION 8 A random variable X has P(-5<X<21)2 0.9375. Using Chebyshev's theorem, the mean and…

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Q: Question 3 Which of the following statements is/are true? (1) For any given distribution and its…

A: Given that  We have find whether the statement is TRUE or FALSE :

Q: QUESTION 15 A random sample of sizen 36 is drawn from a normal population with a variance of 25,…

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Q: O None of the other answers O 0.3174 O 0.1587 O 0.8413 O 0.3413

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Q: Question 2 Let X1, X2, X3 be a random sample from a uniform distribution U(@ – ,0 + }). Consider the…

A: INTRODUCTION :  Unbiased estimator : An estimator is said to be unbiased if the expectation of the…

Q: QUESTION 2 The change in smell sensation attributed to COVID-19 by smoking status in a sample of…

A: Given number of extreme reduction=126+31=157 Number of smoker and extreme reduction =31 We want to…

Q: Question 13. Let X be a random variable with variance 4. Also, let Y be another ran- dom variable…

A: