continuous random variables?

Q: Let X be a random variable with normal distribution with mean 6 and variance 4. Then P(X-6>3.12)-…

A: 1) It is given that, X be a random variable with normal distribution with mean 6 and variance 4 i.e.…

Q: Z is a standard normal random variable. the P(1.05≤Z≤2.13) equals?

A:

Q: Find the variance and standard deviation of the probability distribution of random variable X if :…

A: Variance=EX2-E2(X)=12110+22110+32110+42110+52110+62110+72110+82110+92110+102110-1110+2110+3110+4110+…

Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

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Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

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Q: If Z is a random variable from a standard normal distribution and if P(Z<a)=0.42, then P(Z<-a)=0.58.…

A: If Z is a random variable from a standard normal distribution and if P(Z&lt;a)=0.42, then…

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.72, then %3D P(Z <…

A: Therefore,

Q: The number of tubes of toothpaste purchased by a typical family is a random variable having a…

A: Solution: 2. Let X be the number of tubes of toothpaste purchased by a typical family. From the…

Q: Is the random variable given in the accompanying table discrete or continuous? Explain. Number of…

A: Here data giving that number of girls and its probabilities.

Q: X is a uniformly distributed random variable with A = 10 and B = 20. a) What is the 75th percentile…

A: X is a uniformly distributed random variable with A = 10 and B = 20.a) What is the 75th percentile…

Q: (b) From the distribution you found in part (a), what can you say about the distribution of X? The…

A: Given: X 0 1 2 3 4 5 6 7 P(X=x) 0.2791 0.3907 0.2344 0.0781 0.0156 0.0019 0.0001 0.00000357

Q: Given two normal random variables: X~Normal(μ-6,0=15) and Y-Normal(μ=15,0=6). What can be said about…

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Q: The uniform distribution of a random variable X is given in the figure below. 0 2 1. X From the…

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Q: The percent of persons (ages five and older) in each state who speak a language at home other than…

A: We have given that the percent of persons in each state who speak a language at home other than…

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: 1. Which of the following random variables is discrete? a. the length of time a battery lasts b. the…

A: Discrete variable:   It is nothing but it takes or considers only the countable number of values or…

Q: Let Y be a random variable with mean zero and variance o². What do we know about the quantity 1 (Yi…

A: Given that,  Y = 1n∑i=1nYi  Now,  1n∑i=1nYi - Y = 1n∑i=1nYi - 1n×nY = Y - Y = 0

Q: If X represents a random variable coming from a normal distribution and P(X 8.7) = 0.37. %3D True…

A: P(X &lt; 8.7) = 0.63 P(X &gt; 8.7) = 0.37

Q: What increases the likelihood that our a random sample will be representative of the population? O…

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Q: a continuous random variable? X = "number of petals on a sunflower" Z = "results of drawing three…

A: A continuous random variable is defined as the variable that can take any specific value between two…

Q: If X represents a random variable coming from a normal distribution and P(X 6.5) = 0.59. True O…

A: It is given that P(X&lt;6.5)=0.41.

Q: An immigration agent at Pearson Airport in Toronto could on the average process 120 entrants during…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: A. Classify each random variable as either discrete or continuous. 1. The number of arrivals at an…

A: For the given the 10 statements.  We need to answer if each randomly variable as either  discrete…

Q: Which of the following represent a discrete random variable? choose all that apply. Hat size Pet…

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Q: Identify the given random variable as being discrete or continuous. 1) The number of field goals…

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Q: Which is a discrete random variable?   Z = "the weight of newborn African elephants"   X = "the…

A: The discrete random variable is:-

Q: Is the random variable given in table discrete or continuous? Number of Girls in Four Births Number…

A: we can see that given probability distribution table gives probability for fixed points x= 0,1,2,3,4

Q: The distribution of the following random variable is:

A: Given that the random variable is, X¯-μsn Here, X¯: Sample meanμ: Population means: sample standard…

Q: For a Poisson random variable the mean and the standard deviation are the same. Select one: O True O…

A: If a random variable X~Poisson(λ) than f(x)=eλ λxx!; x≥0

Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

A: Given,A random varible X~U(0, 2)f(x)=12   ; 0≤x≤2

Q: e) Mean of the random variable X.

A: Given: probability distribution of X and we need to find the mean of X

Q: The random variable ?, which is the number of telephones coming to a telephone exchange in a…

A: Part (a) Let X be a random variable denotes the number of telephone calls coming to a telephone…

Q: If X has a normal distribution, which of the following is true about the shape (distribution) of the…

A: Given that, X has a normal distribution

Q: Which of the following random variables is  continuous?   Lifetime of a AAA battery.   Amount of…

A: Which of the following random variables is  continuous?

Q: (1 point) If X is a binomial random variable, compute the mean, the standard deviation, and the…

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Q: A) For a standard normal distribution, the probability of z 0 is B) Given that Z is a standard…

A: Note: Hey there! Thank you for posting the question. For calculating probability, we are considering…

Q: ccording to the Huffington Post2, internet users are see about 11,250 online advertisements per…

A: A normal distribution has bell shaped curve and it is symmetric about the mean. A standard normal…

Q: Suppose that X follows a Binomial distribution, i.e., X ∼ Binomial(3, 0.5). Define a new random…

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Q: a) Suppose that Luke flies with Spirit Airlines, which posts a flight time of 2 hours and 5 minutes…

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Q: This is a Statistics problem.  Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the…

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Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20…

A: Given Data: Z follows standard normal distribution   Let the value be x

Q: A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER).…

A: ## As per guidelines answering only 3 subparts of the question repost again by specifying the…

Q: What is the mean of this discrete random variable? 2 3 4. 0.05 0.35 0.20 0.35 0.05 P(x)

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Q: The random variable x represents the number of phone calls an author receives in a day, and it has a…

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Q: The failure time, in years, of a component is a random variable with a Weibull distribution with…

A: To find: What is the probability that the component will fail within 5.8 years?

Q: 2. Assume the weight of a randomly chosen American passenger car is a uniformly distrībuted random…

A: Given Information: The weight of a randomly chosen American passenger car is uniformly distributed…

Q: Is the random variable given in table discrete or continuous? Explain. Number of Girls in Four…

A: First we will define what does a discrete random variable and a continuous random variable looks…

Q: True or false For a normally distributed random variable, P(X > µ) = .5

A: The question is based on a normal dist. Given : P ( X &gt; μ ) = 0.5

Q: If X does not have a normal distribution, which of the following is true about the shape…

A: This is based on central limit theorem.