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If x, y & z be the temperature of 1st, 2nd & 3rd day, x, y, z can be chosen from from 1-100 randomly & probability of getting chosen the number is randomly distributed. So x, y & z can be arranged in 3! i.e. 6 ways, in which our favourable is only one i.e. x>y<z. Hence required probability =1/6
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10. Suppose that the temperature (in Fahreinheit) on a given day is a random variable given by a uniform distribution on [0, 100] What is the probability that the temperature on a given day is colder...
Given that X is a continuous random variable that has a uniform probability distribution, and 0...
Given that X is a continuous random variable that has a uniform probability distribution, and 0 < X < 8: a. Calculate P(X < 4) (to 3 significant digits). P(X < 4)= b. Determine the mean (µ) and standard deviation (σ) of the distribution (to 3 significant digits). µ = σ =
suppose X is a random variable best described by a uniform probability distribution with a=30 and...
suppose X is a random variable best described by a uniform probability distribution with a=30 and b=50 find p(30
A random variable is a uniform random variable between 0 and 8. The probability density is...
A random variable is a uniform random variable between 0 and 8. The probability density is 1/8, when 0<x<8 and 0 elsewhere. What is the probability that the random variable has a value greater than 2 ?
A random variable, X, follows a uniform distribution between 0 and 1. What is the probability...
A random variable, X, follows a uniform distribution between 0 and 1. What is the probability that X is between 0.6 and 1.1? O A.0.4 OB. 0.5 O C. 0.6 OD. Not enough information to determine.
7. Suppose the random variable U has uniform distribution on [0, 1]. Then a second random...
7. Suppose the random variable U has uniform distribution on [0, 1]. Then a second random variable T is chosen to have uniform distribution on [0, U]. Calculate P(T> 1/2)
Let X be a random variable following a continuous uniform distribution from 0 to 10. Find...
Let X be a random variable following a continuous uniform distribution from 0 to 10. Find the conditional probability P(X >3 X < 5.5). Chebyshev's theorem states that the probability that a random variable X has a value at most 3 standard deviations away from the mean is at least 8/9. Given that the probability distribution of X is normally distributed with mean ji and variance o”, find the exact value of P(u – 30 < X < u +30).
1 point) Suppose a random variable x is best described by a uniform probability distribution with...
1 point) Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x <a) -0.18 a E (b) P(x < a) 0.78 (c) P(x 2 a) 0.23 (d) P(x > a) = 0.95 a= (e) P( 1.78 x a) = 0.02 a=
I. Let the random variable y have an uniform distribution with minimum value θ = 0...
I. Let the random variable y have an uniform distribution with minimum value θ = 0 and maximum value θ2-1 and let the random variable U have the form aY +b, where a and b are both constants and a > 0. (a) Using the transformation method, find the probability density function for the random variable U when a 2 and b-4. What distribution does the random variable U have? (b) Using the transformation method, find the probability density function...
Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r=...
Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r= 5, 6, 7, 8. 0, otherwise. A random sample of n = 45 is selected from this distribution. Find the probability that the sample mean is greater than 6.7. Round your answer to two decimal places (e.g. 98.76). P= the absolute tolerance is +/-0.01
A random variable follows the continuous uniform distribution between 30 and 120 a) Calculate the probability...
A random variable follows the continuous uniform distribution between 30 and 120 a) Calculate the probability below for the distribution. P(60less than or equals≤xless than or equals≤90) b) What are the mean and standard deviation of this distribution? wo neng kan jian wen ti
A random variable, X, follows a uniform distribution between 0 and 1. What is the probability that X is between 0.6 and 1.1? O A.0.4 OB. 0.5 O C. 0.6 OD. Not enough information to determine.
7. Suppose the random variable U has uniform distribution on [0, 1]. Then a second random variable T is chosen to have uniform distribution on [0, U]. Calculate P(T> 1/2)
Let X be a random variable following a continuous uniform distribution from 0 to 10. Find the conditional probability P(X >3 X < 5.5). Chebyshev's theorem states that the probability that a random variable X has a value at most 3 standard deviations away from the mean is at least 8/9. Given that the probability distribution of X is normally distributed with mean ji and variance o”, find the exact value of P(u – 30 < X < u +30).
1 point) Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x <a) -0.18 a E (b) P(x < a) 0.78 (c) P(x 2 a) 0.23 (d) P(x > a) = 0.95 a= (e) P( 1.78 x a) = 0.02 a=
I. Let the random variable y have an uniform distribution with minimum value θ = 0 and maximum value θ2-1 and let the random variable U have the form aY +b, where a and b are both constants and a > 0. (a) Using the transformation method, find the probability density function for the random variable U when a 2 and b-4. What distribution does the random variable U have? (b) Using the transformation method, find the probability density function...
Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r= 5, 6, 7, 8. 0, otherwise. A random sample of n = 45 is selected from this distribution. Find the probability that the sample mean is greater than 6.7. Round your answer to two decimal places (e.g. 98.76). P= the absolute tolerance is +/-0.01
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