Homework Answers
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...
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, 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
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation...
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
18. suppose that the random variable X has a continuous uniform distribution over [ 10, 20...
18. suppose that the random variable X has a continuous uniform distribution over [ 10, 20 ]. Find P (15 is less than or equal to X is less than or equal to 19 ) Possible answers : A 0.30, B 0.35, C 0.40, D 0.45
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
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
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