Let X have a uniform distribution on the interval (4, 10). Find the probability that the sum of 2 independent observations of X is greater than 19. Let X have a uniform distribution on the interval (7, 12). Find the probability that the sum of 2 independent observations of X is greater than 23.

Q: Let X₁ ~ Bin(n₁,p) and X₂ ~ Bin(n2, p). Find the distribution function of Y = X₁ + X₂. Assume X₁ L…

A: X1~Binn1,p, X2~Binn2,p, Y=X1+X2

Q: Select all distributions which are approximately symmetric.

A: Here given 6 different dot plot for data .

Q: A box contains 5 Balls labeled with the number "1", 3 balls labeled with the number "2", and 1 ball…

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Q: Example 2: Calculate the standard deviation and variance for each set of sample data. Make sure to…

A: Let X denotes the scores of students from face to face class & Y denotes the scores of students…

Q: Suppose Y ~ Uniform(01,02) where the parameters 01 and 02 take the values -4 and -3 respectively.…

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Q: Assume a member is selected at random from the population represented by the graph. Find the…

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Q: Let the random variable X fit uniformly in the interval (-1,1). Find the distribution of the random…

A: Given: The random variable X follows a uniform distribution in the interval (-1,1). Let Y=X2…

Q: Find the distribution function of the random variablethat has the probability distribution f(x) =…

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Q: f the random variable X follows the uniform distribution U= (0,1) What is the distribution of the…

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Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

Q: Find the distribution function which corresponds to the probability distribution defined by f (x) =…

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Q: Let X a b(4,) find Var(3x) and distribution function.

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Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

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Q: The amount of time that Alyse has waited for the school bus this year can be modeled by a uniform…

A: The objective of this question is to find the probability that Alyse waits less than 1 minute for…

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: Assume that all variables are approximately normally distributed.  Help me with 13 please.

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Q: The amount of time you wait for the bus is uniformly distributed on the interval from 5 to 10…

A: Let X denote the amount of time you wait for the bus and it follows uniform distribution on interval…

Q: Give a probability histogram of the data, 7, 7, 7, 8, 10, 10, 12, 13, on the interval [5.5, 15.5],…

A: Given  that the data are 7,7,7,8,10,10,12,13 Interval=[5.5,15.5], breaking that Interval into two…

Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4].   Determine the…

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Q: If x is uniformally distributed with [100 , 150] the find the probability more than 120.

A: A random variable x~Uniform(a=100,b=150)

Q: The probability of Jack making a free throw is 0.90. Assume one morning, he will attempt 5 shots and…

A: X follows Binomial distribution: X ~ Binomial( n, p)

Q: The mean of the time it takes for a product to arrive from China is 60 days and the standard…

A: Given: Mean time taken for a product to arrive from China is 60 days, that is, μ=60. Standard…

Q: Approximately 8% of students at a local high school participate in after-schoold sports every year…

A: Given p=0.08n=60

Q: For a discrete distribution, show that B, 2 B,.

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Q: Find the probability for P(y 3) if y is distributed as N(1, 9)

A: The mean is 1, and standard deviation is 9. The probability for Py<0  or  y>3 is, Py<0  or…

Q: Let X-Bin(5, 0.2), and X2-Bin(3, 0.2). a. What is the distribution of Y=X₁+X₂? b. Please calculate…

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Q: The time (in minutes) it takes Greg to complete a homework problem is uniformly distributed…

A: X=Time it takes to complete a homework problem X~Ua,bwhere, a=15 and b=28hence, X~U15,28

Q: Let X be the total number of groups of customers at Jellibabix's restaurant over one day in…

A: a

Q: Which statement is true about these 2 distributions? set A 01 2 3 4 5 6 7 8 9 10 set B ● 0 1 2 3 4 5…

A: The dot-plots of the distribution are given as follows:

Q: Let X have a uniform distribution on the interval (1,3). What is the probability that the sum of 2…

A: Given : X1~Unif(1,3) and X2~Unif(1,3) E(X1) =E(X2) = a+b2 E(X1) =E(X2) = 1+32 E(X1) =E(X2) = 2 V(X1)…

Q: For each random variable defined, describe the set of possible values for the variable, and state…

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Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

A: Solution: Let X be the number of dandelions per square meter. From the given information, the mean…

Q: If the iron cutting machine in a factory works continuously for a certain period of time under the…

A: a part n = 9 x¯=14+26+18+29+12+19+22+30+199=1899=21…