Determine whether or not distribution represent a probability distribution then explain why.
Q: What are the requirements for a probability distribution?
A: A probability density function must satisfy two requirements: (1) f(x) must be nonnegative for each…
Q: Find the probability that more than 19 weeks pass between accidents.
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Q: Draw a probability distribution plot for Geometric and Multinomial. Give a real-life example for…
A: Geometric distribution: Suppose there are independent trials and the probability of success is same…
Q: Construct a probability distribution for tossing 3 coins. Assume X be the number of tails.
A: here number of trials( number of times the coin is tossed)=3 in tossing a coin for once , the…
Q: Determine whether or not distribution represent a probability distribution then explain why
A: The conditions of valid probability distribution are- 0≤p≤1 ∑p=1
Q: Holmes Institute conducted a survey about International Students in Melbourne. The survey results…
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Q: The probabilities of a return on an investment of $5000, $7000, and $9000 are 1 2 , 3 8 and 1 8…
A: Given Information: The probabilities of a return on an investment of $5000, $7000, and $9000 are…
Q: Decide whether the distribution is a probability distribution. If it is not a probability…
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Q: A coin is flipped 5 times and X is the number of tails. Find the probability distribution of X. Do…
A: Introduction :- Here we have to find out the probability distribution for number of tails. If a…
Q: Use the table below to help you constructa probability distribution for all of the possible values…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: the variance of the probability distribution
A: It is given that k=1/6.
Q: Describe the shape of the graph of each probability distribution. (a) Uniform (b) Exponential (c)…
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Q: Explain binomial distribution by example of probability.
A: Binomial distribution: The probability mass function for binomial distribution is,…
Q: Describe what the expected value or mean of a probability distribution represents geometrically.
A: Geometric distribution P[X=x]=pqx x=0,1,2,3.....…
Q: Prepare a probability distribution then find the mean, variance and standard deviation for the…
A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
Q: Determine whether the table represents a discrete probability distribution. Explain why or why not.…
A: We have given that X 100 200 300 400 500 P(x) 0.1 0.2 0.4 0.4 0.2
Q: Explain one actual application of a discrete probability distribution OR a Poisson distribution in…
A: Number of arrivals at restaurants per day is a Poisson random variable. Let us say that every day…
Q: Construct a probability distribution for a family of three children. Let X represent the number of…
A: Given that there are 3 children. X=the number of girls So the possible values of X are 0, 1, 2, 3
Q: Describe the two basic rules of probability
A: Relative frequency definition of probability: The relative frequency of an event is defined as the…
Q: The probability that a patient will have 0,1,2,3 medical tests performed on a hospital is…
A: Given : The prob. that a patient will have 0 , 1 , 2 , 3 medical tests performed on a hospital is…
Q: Which do you prefer in representing a probability of getting odd sum of a pair of dice is tossed
A: Here rolling pair of dice So Total possible outcomes = 6×6 =36 Probability =(#Favorable outcomes)/…
Q: All probabilities are proportions but not all proportions are probabilities. Please explain the…
A: Solution-: All probabilities are proportions but not all proportions are probabilities. Explain the…
Q: Determine whether the distribution is a discrete probability distribution.
A: Properties of probability distribution is , 1) The probability for a particular value or range of…
Q: List 5 things that come to mind when you hear the phrase "Joint Probability Distribution". Write…
A: The solution is as follows,
Q: help asaaap, thankou Explain one actual application of a discrete probability distribution OR…
A: Poisson distribution: Poisson distribution is used to describe the distribution of rare events in a…
Q: question on probability.
A: In the table given in the problem contains about the no. of week days of a college who goes to…
Q: Construct a probability distribution then interpret the mean, variance, and standard deviation
A: Introduction: Denote the random variable, X as the number of sports related activities a student in…
Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 25% of…
A: Solution: Let A be the event that the athlete is football player and B be the event that the athlete…
Q: Describe when a given distribution is a probability distribution.
A: Let us assume X be a random variable such that X connected with the outcome of a random experiment…
Q: Table below shows the extent to which Americans are turning toward online reviews and ratings when…
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Q: Find the mean of this probability distribution. (Appropriate rounding rules apply.) mean =
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Q: What is the probability distribution if X∼B(3,0.82)?
A: Given : X∼B(3,0.82)
Q: A six-sided die is rolled 5 times. Create a table and histogram for the probability distribution for…
A: A random variable x will follow the binomial distribution if the following conditions are satisfied.…
Q: Determine whether or not the distribution represents a probability distribution.
A:
Q: The table shows the estimated distribution of injury severity by a child passenger. What is the…
A: Solution: The estimated distribution of injury severity by a child passenger is Injury Severity…
Q: acceptable probability
A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…
Q: Table below shows the extent to which Americans are turning toward online reviews and ratings when…
A:
Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 39% of…
A:
Q: Determine whether the table represents a discrete probability distribution. Explain why or why not.…
A: Properties for discrete probability distribution:
Q: probability distribution, find its mean.
A: Let The random Variable X denotes the number of televisions in Household in a certain country. we…
Q: Determine whether or not the distribution is a discreet probability distribution and select the…
A: Given data: x 6 7 8 P(X=x) 12 18 38 The objective is to determine whether or not the…
Q: A researcher surveyed the households in a small town. The random variable X represents the number of…
A: Given, x 0 1 2 P(x) 0·25 0·50 0·50 To check the given data is probability distribution or…
Q: Find the probability distribution of the sum of the numbers when a pair of dice is rolled? Consider…
A: Given information: It is given that a pair of dice are rolled.
Q: A data scientist tracked how many cups of coffee she drank every day at work over the course of a…
A: Random variable: A random variable X is a real number that describes the outcome of the random…
Q: Market research has shown that 60% of persons who are introduced to a certain product actually buy…
A: It is given that, The probability that person buy the product , p =60%=0.60 Sample size, n=15
Q: Lorelai conducted a survey of students in her class to observe the distribution of eye color. The…
A: Total number of people observed= (40+58+7+14)=119 Among these 119 people, 40 has blue eyes
Q: OW TO CALCULATE PROBABILITY
A: A probability is simply the probability that something will happen. Whenever we are uncertain…
Q: Rolled 3 dice what is the probability distribution of getting an equal or less than 5?
A: Answer- Rolled 3 dice. Then n(S) = 6*6*6= 216 what is the probability distribution of getting an…
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Determine whether or not distribution represent a
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- Find the moment generating function ME(t) for an exponential random variable with parameter (lambda) = 1. Sketch the graph of ME(t)MELC182 Activity 1: Classify the following as discrete or continuous. 1. The number of senators present in the meeting. 2. the weight of newborn babies for the month of June. 3. The number of ball pens in the box 4. The amount of salt needed to bake a loaf 5. The capacity of an auditorium. of bread. 6. The number of households with television. 7. The height of mango trees in a farm. 8. The area of lots in a subdivision. 9. The number of students who joined the field trip. 10. The time it takes a student to finish his test in a particular subject MELC3 Activity 2: Determine the values of the random variable in each of the following situations. 11. Two coins are tossed. Let T be the number of tails that occur. Determine the values of the random variable T. 12. Three coins are tossed. Let T be the number of tails that occur. Determine the values of the random variable T. 13. A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one…Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about 10% of the time, while the non salty outgoing tides occurs twice per day. You take your dog for a walk down by the river at random during the weekend and notice that he'll drink from the river 30% of the time when the salt is sufficiently low. someone points out that the saltiness doesn't depend on the local rain but on the rain upriver. Assume that at any time it is possible to have 3 independent rainstorms upriver , all with the same 10% probability of occurrence that you see at the city. What is the probability of no rain upriver ? Of 1 rain ? Of more than one ? please tell which probability formula you use
- 13) Random variables X and Y have joint pdf fXY={4xy, 0≤x≤1, 0≤y≤1fXY={4xy, 0≤x≤1, 0≤y≤1 Find Correlation and Covariance1. Perform the singular value decomposition of A and the spectral decomposition of variance(A) You can use R (but please do it without using the svd function).X1 and X2 are two discrete random variables, while the X1 random variable takes the values x1 = 1, x1 = 2 and x1 = 3, while the X2 random variable takes the values x2 = 10, x2 = 20 and x2 = 30. The combined probability mass function of the random variables X1 and X2 (pX1, X2 (x1, x2)) is given in the table below a) Find the marginal probability mass function (pX1 (X1)) of the random variable X1.b) Find the marginal probability mass function (pX2 (X2)) of the random variable X2.c) Find the expected value of the random variable X1.d) Find the expected value of the random variable X2.e) Find the variance of the random variable X1.f) Find the variance of the random variable X2.g) pX1 | X2 (x1 | x2 = 10) Find the mass function of the given conditional probability.h) pX2 | X1 (x2 | x1 = 2) Find the mass function of the given conditional probability.i) Are the random variables X1 and X2 independent? Show it. The combined probability mass function of the random variables X1 and X2 is below
- A stochastic process (SP) X(t) is given byX(t) = Asin(ωt + Φ)where A and Φ are independent random variables and Φ is uniformly distributed between 0 and 2π.a) Calculate mean E[X(t)]. b) Calculate the auto-correlation RX (t1,t2).c) Is X(t) wide sense stationary (WSS)? Justify your answer.Now consider that X(t) is a Gaussian SP with mean μX (t) = 0.5 and auto-correlation RX (t1,t2) =10e−14 |t1−t2|. Let Z = X(5) and W = X(9) be the two random variables.d) Calculate var(Z), var(W), and var(Z + W). e) Calculate cov(ZW).X1 and X2 are independent random variables such that Xi has PDF fXi(x)={λiexp(−λix) when x≥0, 0 otherwise}. What is P[X2<X1]?How to solve this using Microsoft Excel Use alpha of 0.05 2 tail. Free Association (in seconds) Partially Controlled (in seconds)5.84 4.844.64 5.643.56 8.565.00 7.002.35 4.353.67 4.677.87 6.677.74 5.444.48 5.586.56 6.26
- LetX1,X2,...,Xn be a sequence of independent and identically distributed random variables having the Exponential(λ) distribution,λ >0, fXi(x) ={λe−λx, x >0 0, otherwise Define the random variable Y=X1+X2+···+Xn. Find E(Y),Var(Y)and the moment generating function ofY.: Calculate the coefficients of skewness and kurtosis of the following frequency distribution. X 0 1 2 3 4 5 Frequency 2 2 4 6 8 3