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The length of time (in years) until a particular radioactive particle decays is a random variablet...
please answer all 3 a The length of time (in years) until a particular radioactive particle...
please answer all 3
a The length of time (in years) until a particular radioactive particle decays is a random variablet with probability density function defined by f(t) = 8 e - 8t fort in [0, 0o). Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. b The length (in centimeters) of the leaf of a certain plant is...
5 The length (in centimeters) of the leaf of a certain plant is a continuous random...
5 The length (in centimeters) of the leaf of a certain plant is a continuous random variable with probability density function defined by f(x) = for x in 14 [3, 5.8]. Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. The mean of the distribution is cm. (Round to one decimal place as needed.) cm. The standard deviation of...
Assume the length X, in minutes, of a particular type of telephone conversation is a random...
Assume the length X, in minutes, of a particular type of telephone conversation is a random variable with probability density function (a) Determine the mean length E(X) of this type of telephone conversation. (b) Find the variance and standard deviation of X. (c) Find E[(X+4)2] .
#5 please 2. Find the probability distribution function for the random variable representing picking a random real numb...
#5 please
2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
Suppose the time between buses at a particular stop is a positively skewed random variable with...
Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 59 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 38 times. The average of this sample, X , is a random variable that comes from a specific probability distribution. (a)Which of the following is true about the distribution of...
Let the random variable T be the time until some event occurs (e.g. time until an...
Let the random variable T be the time until some event occurs (e.g. time until an atom decays, time until next rainfall, etc). Suppose it’s a continuous random variable supported on [0, ∞). The hazard rate for T is defined as h(t) = f(t) 1 − F(t) , where f and F are the density and CDF for the distribution of T. On an intuitive level, this is the chance that the event will occur in the very near future,...
Will rate! Guppose the time between buses at a particular stop is a positively skewed random...
Will rate!
Guppose the time between buses at a particular stop is a positively skewed random varlable with an average of 50 minutes and standard deviation of 5 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of t= 35 t mes. The average of this tampi x, is a randon an able that comes from a specific probability distribution. (ajwhich of the following is true about the...
Assume the length X in minutes of a particular type of telephone conversation is a random variable with probability density function f(x) = {1/5 e^x/5, x > 0 0, elsewhere (a) Determine the mean length E (X) of this type of telephone conversation. (b) Find
Assume the length X in minutes of a particular type of telephone conversation is a random variable with probability density function f(x) = {1/5 e^x/5, x > 0 0, elsewhere (a) Determine the mean length E (X) of this type of telephone conversation. (b) Find the variance and standard deviation of X. (c) Find E [(X + 5)^2].
4. Assume that the length of time between charges of a particular cell phone is normally...
4. Assume that the length of time between charges of a particular cell phone is normally distributed with a mean of 8 hours and a standard deviation of 2 hours. Find the probability that the cell phone will last between 5 and 10 hours between charges. 5. Let X be a continuous random variable with the density function f(x) given by f(0) = 2/8 for 0 < x < 4, and f(1) = 0 otherwise. Find the mean p. 6....
In the following probability distribution, the random variable x represents the number of activities a...
In the following probability distribution, the random variable x represents the number of activities a parent of a 6 th- to 8th-grade student is involved in. Complete parts (a) through (f) below.x01234P(x)0.3670.1330.2090.1160.175(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 _______ (b) Graph the discrete probability distribution. Choose the correct graph below.(c) Compute and interpret the mean of the random variable x .The mean...
please answer all 3
a The length of time (in years) until a particular radioactive particle decays is a random variablet with probability density function defined by f(t) = 8 e - 8t fort in [0, 0o). Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. b The length (in centimeters) of the leaf of a certain plant is...
5 The length (in centimeters) of the leaf of a certain plant is a continuous random variable with probability density function defined by f(x) = for x in 14 [3, 5.8]. Find the mean of the distribution, the standard deviation of the distribution, and the probability that the random variable is between the mean and 1 standard deviation above the mean. The mean of the distribution is cm. (Round to one decimal place as needed.) cm. The standard deviation of...
#5 please
2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 59 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 38 times. The average of this sample, X , is a random variable that comes from a specific probability distribution. (a)Which of the following is true about the distribution of...
Will rate!
Guppose the time between buses at a particular stop is a positively skewed random varlable with an average of 50 minutes and standard deviation of 5 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of t= 35 t mes. The average of this tampi x, is a randon an able that comes from a specific probability distribution. (ajwhich of the following is true about the...
4. Assume that the length of time between charges of a particular cell phone is normally distributed with a mean of 8 hours and a standard deviation of 2 hours. Find the probability that the cell phone will last between 5 and 10 hours between charges. 5. Let X be a continuous random variable with the density function f(x) given by f(0) = 2/8 for 0 < x < 4, and f(1) = 0 otherwise. Find the mean p. 6....
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