Please answer as soon as possible. Thumbs up for all answers, thank you! 1) Random variable...
Please answer as soon as possible. Thumbs up for all answers, thank you!
1) Random variable Z has a Gaussian distribution with µZ = 0 and σZ = 1. What is the mean value of -0.24Z + 0.36?
2) Random variable Z has a Gaussian distribution with µZ = 0. What is the probability that Z > 0?
3) Random variable X is continuously and uniformly distributed over the range 0 to 1. What is σX, the standard deviation of X?
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1) Random variable...
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable...
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
Please answer all parts, questions 1-5. Thank you! To represent normal variable (distribution) with mean() and...
Please answer all parts, questions 1-5. Thank you!
To represent normal variable (distribution) with mean() and standard deviation (0) we use shorthand notation X-N . a). For example, suppose the vitamin C content of a particular variety of orange is distributed normally with mean 720 IU and standard deviation 46 IU. If we designate the vitamin C content of a randomly selected orange, then our shorthand notation is X-N[720 IU, 46 IU). To represent probability between two values a and...
With Explanation Please. 2- Choose the correct answer If the continuous random variable X is uniformly...
With Explanation Please.
2- Choose the correct answer If the continuous random variable X is uniformly distributed with a mean of 70 and a standard deviation of (10v3). The probability that X lies between 80 and 110 is: a. Farundom variable hass pobabiliy densitE osone o the ab A 1/4 D 2/3 b. If a random variable X has a probability density functiontada 30 +4) 0sxs1 then the variance of X is closest to A/0.084 rre . B 0.519 С...
1 & 2 pls Let U be a uniformly distributed random variable on [0, 1]. What...
1 & 2 pls
Let U be a uniformly distributed random variable on [0, 1]. What is the probability that the equation x2 + 4-U、x + 1 = 0 has two distinct real roots x1 and x2? 1. 2. The probability that an electron is at a distance r from the center of the nucleus is: with R being a scale constant. a) Find the value of the constant C. b) Find the mean radius f. c) Find the standard...
can u please answer these questions as soon as possible? Given that z is a standard normal random variable, find z f...
can u please answer these questions as soon as possible?
Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the right of z is 0.03. b. The area to the right of z is 0.045 1.70 C. The area to the right of z is 0.05. 1.64 d. The area to the right of z is 0.1 Television viewing reached a new high when the global information and...
The input to a system is a Gaussian random variable below X with zero mean and variance of σ- as ...
The input to a system is a Gaussian random variable below X with zero mean and variance of σ- as shown x System The output of the system is a random variable Y given as follows: -a b, X>a (a) Determine the probability density function of the output Y (b) Now assume that the following random variable is an input to the system at time t: where the amplitude A is a constant and phase s uniformly distributed over (0,2T)....
1. Choose the correct answer. Which continuous random variable is equivalent to a binomial discrete random...
1. Choose the correct answer. Which continuous random variable is equivalent to a binomial discrete random variable? Gaussian random variable Uniform random variable Exponential random variable None of the above Suppose that the GPA average of students is 3.0. Assuming a Gaussian distribution, what is the probability that a student selected at random has a GPA less than 3.0? 0.5 0 1 Cannot be determined For a continuous random variable X, P[X=x]>0. P[X=x]=0. P[X=x]=F_X (x). P[X=x]<F_X (x).
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...
please help with all. In the following probability distribution, the random variable x represents the number...
please help with all.
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...
Please answer all parts, questions 1-5. Thank you!
To represent normal variable (distribution) with mean() and standard deviation (0) we use shorthand notation X-N . a). For example, suppose the vitamin C content of a particular variety of orange is distributed normally with mean 720 IU and standard deviation 46 IU. If we designate the vitamin C content of a randomly selected orange, then our shorthand notation is X-N[720 IU, 46 IU). To represent probability between two values a and...
With Explanation Please.
2- Choose the correct answer If the continuous random variable X is uniformly distributed with a mean of 70 and a standard deviation of (10v3). The probability that X lies between 80 and 110 is: a. Farundom variable hass pobabiliy densitE osone o the ab A 1/4 D 2/3 b. If a random variable X has a probability density functiontada 30 +4) 0sxs1 then the variance of X is closest to A/0.084 rre . B 0.519 С...
1 & 2 pls
Let U be a uniformly distributed random variable on [0, 1]. What is the probability that the equation x2 + 4-U、x + 1 = 0 has two distinct real roots x1 and x2? 1. 2. The probability that an electron is at a distance r from the center of the nucleus is: with R being a scale constant. a) Find the value of the constant C. b) Find the mean radius f. c) Find the standard...
can u please answer these questions as soon as possible?
Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the right of z is 0.03. b. The area to the right of z is 0.045 1.70 C. The area to the right of z is 0.05. 1.64 d. The area to the right of z is 0.1 Television viewing reached a new high when the global information and...
The input to a system is a Gaussian random variable below X with zero mean and variance of σ- as shown x System The output of the system is a random variable Y given as follows: -a b, X>a (a) Determine the probability density function of the output Y (b) Now assume that the following random variable is an input to the system at time t: where the amplitude A is a constant and phase s uniformly distributed over (0,2T)....
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...
please help with all.
In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...
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