Assume that 1 out of every 5 adults in a local community is unemployed. Approximatethe probability that in a random sample of 100 adults from the community, more than 25are unemployed. Express your final answer in terms of the standard normal cumulativedistribution function Φ.

Q: Suppose, the walking speed of an elderly is no more than 6 km per hour. The walking speed, Y, in km…

A: Solution: From the given information,

Q: Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A:

Q: (a) Find the expectation E (X) of X. E (X) = [] (b) Find the variance Var(X) of X. Varlx) = D

A: The following table shows the provided outputs of the discrete random variables, along with the…

Q: The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had…

A: Note: Hey there! Thank you for the question. As you have posted a question with several sub-parts,…

Q: Let (X„) be a sequence of independent exponentially distributed random variables w respectively. log…

A: From the given information, Xn be a sequence of independent exponentially distributed random…

Q: Suppose that you have thirteen lightbulbs, that the lifetime of each is independent of all the other…

A: From the given information, there are 13 lightbulbs. The lifetime of each is independent of each…

Q: In a NiCd battery, a fully charged cell is composed of Nickelic Hydrox- yde. Nickel is an element…

A:

Q: If y,, y2,y, be a random sample taken from a normal distribution with parameters u and o, then the…

A: we wants to find the log likelihood function of normal distribution of y1,y2,.....,ym random sample…

Q: Suppose the probability density function for a random variable X is given by S 24x- -4 if x > 2 f(x)…

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Q: a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X. Var (x) = 0

A: Here given discrete probability distribution of x  Here use expected value and Variance formula

Q: Verify whether the following function is probability mass function 2x+1 where f(x) 3 x- 0, 1, 2, 3,…

A: A probability mass function gives the probability at each possible value of discrete random…

Q: Fox river company is analysing a new line of business and estimates the possible return on…

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Q: Suppose X has an exponential distribution with B=1/4 , then P (Xs 1 ) is"

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Q: Suppose that X is the length of time (in minutes) that a customer queues in a bank. The probability…

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Q: If X be a random variable with probability density function fx) = 2x Osxs1

A: If X be a random variable with probability density function   f(x) = 2x    , 0≤x≤1 To determine the…

Q: Suppose a probability mass function is given as 7 9 11 13 15 17 P(X=x) 1/12 1/12 1/4 1/4 1/6 1/6…

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Q: Assume that the length of a phone call in minutes is an exponential random variable X with parameter…

A: Solution: Let X be the length of a phone call. From the given information, X follows an exponential…

Q: Find the following: P(X > 22) = %3D The cumulative distribution function of X: if x 20 The…

A: Given pdf of X, we need to find required results .

Q: d) Use Poisson approximation to find the probability that the sample contains at most 1defective…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Find the standard deviation of the probability mass function below. 2 P(X) 0.07 0.30 0.35 0.23 0.05…

A:

Q: The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had…

A: Introduction: In order to find the mean and standard deviation of (X + Y), it is first necessary to…

Q: In a certain city, the daily consumption of water (in million liters) approximately follows a gamma…

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Q: In Exercise, a probability density function of a random variable is defined. Find the expected…

A: To find: The expected value, the variance, and the standard deviation. Given information: The…

Q: Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T = X+ 4 & T2 = (X- 1).…

A: It is an important part of statistics. It is widely used.

Q: Suppose that when a transistor of a certain type is subjected to an accelerated life test, the…

A: Given: X = lifetime in weeks α=5β=8 X ~ Gamma (5, 8) Probability of of lifetime of 1 week to 40…

Q: Let X be a discrete random variable with the following cumulative distribution function x<0 F) =…

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Q: If X is a normal distribution with u = 1 and o = 2, compute P(X < 3). O .8414 (answer) O .1586 O…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: 4) What is the maximum likelihood estimator l for the Normal distribution, assuming o is known? The…

A: From the given information, fx=2πσ2-12e-x-μ22σ2 Consider, the likelihood function, L=∏i=1nfxi…

Q: Q7. A single observation of a r.v. X having an exponential distribution (with mean 0) is used to…

A: Decision rule is given by Ho is accepted if and only if X us less than or equal to 2.

Q: Find the cxpected value of each probability mass function below xP(x) 0-08 1 (メーム)@P(は) メ P(+) メール…

A: According to the provided information, x p(x) x*p(x) x-mean  (x-mean)^2  p(x)*(x-mean)^2 0 0.08…

Q: Let X is a discrete random variable whose cumulative distribution function graph is given below: 11…

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Q: Suppose, the walking speed of an elderly is no more than 6 km per hour. The walking speed, Y, in km…

A: The probability density function is fY=y=118,                     0≤y≤419y-16,…

Q: Let the life span of a material be given by the probability function f(x)=c²xe^(-cx)  (x≥ 0).…

A: Probability function  f(x) = c2xe-cx       x≥0

Q: If X is normally distributed with mean 0 and variance 1, what is the probability density function of…

A: Solution: From the given information, X follows normal distribution with mean µ=0 and variance σ2=1.…

Q: Define the cumulative probability Pc(x): 1 dy. Pc(x) = 27 %3D

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Suppose that the number of traffic accidents, N, in a given period of time is distributed as a…

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Q: The multinomial joint probability mass function becomes the binomial probability mass function when…

A: Any standard text.

Q: Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T1=X+4 and T2=(X-1)…

A: Let X be the random variable. Given that the statistic T1=X+4 and T2=(X-1). Unbiasedness: For a…

Q: Identify the distributions of the random variables with the following moment- generating functions…

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Q: For any number of x, the cumulative distribution function (F(x)) is the probability that the…

A: Here for cumulative distr of x as F(x). And p(X &lt;=x ) is represented by F(x)

Q: 2. Show that in a Lorentzian distribution the half width is r.

A: Introduction -   The Lorentizan function is the singly peaked function given by L(x)…

Q: Find the marginal probability of X = 1.

A: Given:     Y     1 2 3 X 1 0.05 0.05 0 2 0.05 0.1 0.2 3 0.1 0.35 0.1

Q: The multinomial joint probability mass function becomes the binomial probability mass function when…

A:

Q: Show that the expectation of the exponential distribution with param- eter A is 1/A.

A: Exponential distribution : A continuous random variable x is said to be exponential distribution…

Q: The monthly car sales of JG Car Shop next year can be predicted using the following probability mass…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.