A continuous random variable X has a normal distribution with mean 169. The probability that X...
A continuous random variable X has a normal distribution with mean 169. The probability that X takes a value greater than 180 is 0.17. Use this information and the symmetry of the density function to find the probability that X takes a value less than 158.
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A continuous random variable X has a normal distribution with
mean 169. The probability that X...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation o...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
1. The continuous random variable X, has a uniform distribution over the interval from 23 to...
1. The continuous random variable X, has a uniform distribution over the interval from 23 to 43. a) What in the probability density function in the interval between 23 to 43? 6. 7: Total : _ 16 14 /25 b) What is the probability that X is between 26 and 33? c) What is the mean of X? 2. Given that z is a standard normal random variable, a) what is the probability of z being greater than-1.53? b) if...
A continuous random variable x has a normal distribution either the mean of 70 and standard...
A continuous random variable x has a normal distribution either the mean of 70 and standard deviation of 12. If the x score for x is negative, then which of the following is true? A) x is less than 70 B) x cannot be greater than or equal to the mean C) x may be below 42 D) All of the above
3. Let X be a continuous random variable defined on the interval 0, 4] with probability...
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
Let X be a continuous random variable defined on the interval [0, 4] with probability density...
Let X be a continuous random variable defined on the interval [0, 4] with probability density function p(x) = c(1 + 4x) (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is greater than 3. (c) If X is greater than 1, find the probability X is greater than 2. (d) What is the probability that X is less than some number a, assuming 0 < a <...
A probability distribution function for a random variable X has the form Fx(x) = A{1 -...
A probability distribution function for a random variable X has the form Fx(x) = A{1 - exp[-(x - 1)]}, 1<x< 10, -00<x<1 (a) For what value of A is this a valid probability distribution function? (b) Find the probability density function and sketch it. (c) Use the density function to find the probability that the random variable is in the range 2 < X <3. Check your answer using the distribution function. (d) Find the probability that the random variable...
Let x be a continuous random variable that is normally distributed with a mean of 25...
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value: a) between 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
Find the mean of a continuous probability density function Question Consider a random variable X with...
Find the mean of a continuous probability density function Question Consider a random variable X with probability density function given by f(x) for - 2 <3 < 2 otherwise. {$(4 – ) Calculate , the mean value of X. Provide your answer below:
That is a PLUS sign in the equation. Let X be a continuous random variable defined...
That is a PLUS sign in the equation. Let X be a continuous random variable defined on the interval [0, 4] with probability density function p(x) = c(1 + 4x) (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is greater than 3. (c) If X is greater than 1, find the probability X is greater than 2. (d) What is the probability that X is less than...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks...
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
1. The continuous random variable X, has a uniform distribution over the interval from 23 to 43. a) What in the probability density function in the interval between 23 to 43? 6. 7: Total : _ 16 14 /25 b) What is the probability that X is between 26 and 33? c) What is the mean of X? 2. Given that z is a standard normal random variable, a) what is the probability of z being greater than-1.53? b) if...
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
A probability distribution function for a random variable X has the form Fx(x) = A{1 - exp[-(x - 1)]}, 1<x< 10, -00<x<1 (a) For what value of A is this a valid probability distribution function? (b) Find the probability density function and sketch it. (c) Use the density function to find the probability that the random variable is in the range 2 < X <3. Check your answer using the distribution function. (d) Find the probability that the random variable...
Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value: a) between 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
Find the mean of a continuous probability density function Question Consider a random variable X with probability density function given by f(x) for - 2 <3 < 2 otherwise. {$(4 – ) Calculate , the mean value of X. Provide your answer below:
PHYS1047 a) Given a random variable x, with a continuous probability distribution function fx) 4 marks b) The life expectancy (in days) of a mechanical system has a probability density write down equations for the cumulative distribution C(x) and the survival distribution Px). State a relationship between them. function f(x)=1/x, for x21, and f(x)=0 for x <1. i Find the probability that the system lasts between 0 and I day.2 marks i) Find the probability that the system lasts between...
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