Suppose x is a uniform random variable with a = 30 and b = 60. Find P(x < 38 | x < 50).     0.27     0.4     0.6     0.67

Q: Probabilities of values of X-[10 21 24 27 30], a random discrete variable, are [0.16 0.09 0.13…

A:

Q: 1 2 3 + TANFIN12 8.1.018. Find conditions on the numbers a and b such that the table gives the…

A: Given, x -1 0 1 2 4 5 P(X=x) 0.2 a 0.3 0.3 b 0.1

Q: n a 2016 survey of 957 registered voters, 321 people believe that the threats from climate change…

A: It is given that: The level of significance is 0.05 For 2016 survey,

Q: Find the E(X) of the random variable X with the following PDF: £x(x)=4410.11(x)+(1.2)(x)+(-+)423)(x)

A: 3 Given density function is, fx=x2I0,1x+12I1,2x+-x2+32I[2,3)x      =x2, 0&lt;x&lt;112,…

Q: Let Y be a number between 0 and 20 produced by a random number generator. Assuming that the random…

A:

Q: It is known that 26% of adults in the UK use a certain app. A researcher selects a random sample of…

A: Her the sample size = 5000 Proportion of adults who use a certain app in UK , p = 0.26 n*p &gt;5 :…

Q: Suppose z is a normal random variable. Find P ( Z < 1.84 ).

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Q: Q7- If the random variable X is normal with mean 4 and standard deviation 2, then what is P(X² – 8X…

A: Given: X~ N (μ=4 ,  σ = 2) mean= μ = 4 standard deviation = σ = 2 Calculation: then find  P(X2-8X…

Q: About 15% of a town's popula. of customers that arrive at a c (a) What type of random va parameters…

A: Solution:  Let X count the number of customers  that arrive at a certain restaurant until tenth…

Q: If the random variable X is normal with mean 2 and standard deviation 2, n what is P(X² – 4X < 1). -

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Q: Suppose that the number of Tornadoes that strikes a certain area of United States is a Possion…

A: Let X: Number of tornadoes that strikes a certain area of United states X is a Poisson random…

Q: Given that the random viriable X has mean µ = 90 and SD e= 15, find the mean and SD of each of the…

A:

Q: 0.9301 0 8943

A: To find the approximate value of z

Q: Y = 0 Y = 1 Y = 2 Px(x) X = 4 1/5 1/12 1/3 X = 5 1/10 2/5 X = 6 Py(y) 3/5 3/20 1

A: Given that,  and  are independent discrete random variables with joint PMF is as follows: 1

Q: Let X, and X, be independent random variables. Suppose the mean of X, and X2 are 5 and 2; and…

A: Given, Let X1 and X2 are the independent random variables Suppose, the mean,  E(X1)=5  E(X2)=2  The…

Q: Given that P(A|B) =0.5, P(A) = 0.4, and P(B)3D0.44, then P(BIA) is equal to:

A:

Q: 3 The random variable X ~ B(40, 0.4). Find: a P(X 16) e P(11< X< 15) d P(10< X< 17)

A: The mean is computed as: The standard deviation is computed as In the given case, the required…

Q: The mean of a discrete random variable x. Select one: O a. is none of these b. is correctly…

A: The mean of a discrete random variable is customarily denoted by μ.

Q: Assume that the birth of a boy or a girl are the same likely. Find the distribution of the random…

A: Given : p(boy) = p(girl) = 0.5 Sample size, n = 4 newborn babies

Q: Suppose a and b be two possible values of a random variable X with a > b. The probability that X…

A: Given Data: a&gt;b

Q: Suppose x is a norm distrib random variable with u=33 and o=9. find the value Xo of the random…

A: We have to find value of x.

Q: Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X ≤ 1) O 0.3124…

A:

Q: Your answer is incorrect. rdinary (fair) coin is tossed 3 times. Outcomes are thus triples of…

A: We have given that  R= the random variable counting the number of heads in each outcome. X=3R-R2-4…

Q: 5.6.1 X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) =…

A: E(X)=2, V(X)=5, E(Y)=6, V(Y)=8X and Y are independent then Cov(X,Y)=0Note: According to bartelby…

Q: 2) Given, f(x)= (2x+1)/ 25, x= 0, 1, 2, 3, 4 Determine the mean and variance of the random variable.

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Q: Suppose X is a random variable with possible values 4,-4 and 2 and with respective probabilities…

A: Its a Discrete probability distribution

Q: Suppose x is a uniform random variable with a = 10 and b = 90. Find (P(x > 66 | x > 50).     0.25…

A: According to the given information in this question We need to find the value of P(x &gt; 66 | x…

Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?

A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

Q: 1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) +.61(2)(x). What is the mean of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Random Variable X counts the number of students who passed a test in a class of 50 students Match…

A: 1. p = 122. q = 123. n = 50

Q: An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t)…

A: It is given that an ordinary coin is tossed 3 times.

Q: Suppose X is a binomial random variable with n=100 and p=0.3. Estimate P(X=40) by using the normal…

A:

Q: Suppose X is a random variable with X - N(90, 52) and let u = the mean of X me = the median of X mo…

A: Solution

Q: 1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) + 6(2)(x). What is the mean of X?…

A: The question is about expected value of a discrete random variable Given : Pair of fair dice is…

Q: random variable X is normal with mean 2 and standard deviation 2, then what is P(x2 - 4x < 1). 3

A:

Q: Let X be a binomial random variable. If E(X)=3 and V(X)=1.5, then p(X=2) equals

A: First we have to determine the parameters of Binomial distribution, n and p with the help of E(X)…

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A: The PDF of uniform distribution is given as follows :Given that  X denotes the daily amount of…

Q: Let X be a binomial random variable with parameters of 9 and 0.1. Let Y be a binomial random…

A: Given that X+Y=2 So, the possible pairs are (0,2), (1,1), (2,0) So,…