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Probability
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The life (in months) of a certain electronic computer part has a probability density function defined...
3. (25 pts) The life X, in hours, of a certain kind of electronic part has...
3. (25 pts) The life X, in hours, of a certain kind of electronic part has a probability density function given by fory 2100 f,(y) o, fory <100 (A) What is the probability that a part will survive 250 hours of operation? (B) Find the expected value of the random variable (C) Find the variance of the random variable if the probability density function is given by y 2100 0, y<100.
(a)The continuous random variable X is distributed with probability density function f defined by f(x) =...
(a)The continuous random variable X is distributed with probability density function f defined by f(x) = (1/64)x * (16 - x^2) , for 0 < x < 4. . Find [V (2x+1)] . (b) -An urn contains 7 white balls and 3 black balls. Two balls are selected at random without replacement. What is the probability that: 1-The first ball is black and the second ball is white. 2-One ball is white and the other is black ( C)- Suppose...
2) The lifetime in years of a certain type of electronic component has a probability density...
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
The life expectancy (in years) of a certain brand of clock radio is a continuous random...
The life expectancy (in years) of a certain brand of
clock radio is a continuous random variable with the probability
density function below
f(X) =
otherwine
(A) Find the probability that a randomly selected clock lasts at
most 6 years
(B) Find the probability that a randomly selected clock radio lasts
from 6 to 10 years
(C) Graph y=f(x) for A, 10 and show the shaded region lor part
(A)
The expectancy in years) of a certain brand of clock...
A certain type of electronic component has a lifetime Y (in hours) with probability density function given by
A certain type of electronic component has a lifetime Y (in hours) with probability density function given by That is, Y has a gamma distribution with parameters α = 2 and θ. Let denote the MLE of θ. Suppose that three such components, tested independently, had lifetimes of 120, 130, and 128 hours. a Find the MLE of θ. b Find E() and V(). c Suppose that actually equals 130. Give an approximate bound that you might expect for the error of estimation. d What...
The distance X between trees in a given forest has a probability density function given f...
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
The life expectancy (in years) of a certain brand of clock radio is a continuous random...
The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f(x) = 2/(x+ 272 #x20 0 otherwise (A) Find the probability that a randomly selected clock lasts at most 5 years (B) Find the probability that a randomly selected clock radio lasts from 5 to 11 years (C) Graph y = f(x) for [011] and show the shaded region for part (A)
The life (hour) of an electronic tube is a random variable with the following probability...
The life (hour) of an electronic tube is a random variable with
the following probability density function.
Find the expected life of such a tube.
Let X be a random variable with the following probability
density functions.
Find the value of C
Find the cumulative distribution function of X.
1. Bir elektronik tüpün ömrü (saat) aşağıdaki olasılık yoğunluk fonksiyonu nuna sahip bir rassal değişkendir. f(3) = ce-C, c > 0 0, d.d. Böyle bir tüpün beklenen ömrünü bulunuz. 2....
Assume the life of an electronic component in hours is a random variable with the following density function: 9. f(x)-(01 ge-./soo, elsewhere. Find the following: (a) The mean life of the electronic...
Assume the life of an electronic component in hours is a random variable with the following density function: 9. f(x)-(01 ge-./soo, elsewhere. Find the following: (a) The mean life of the electronic component, (b) Find E(X2), (c) Find the variance and standard deviation of the random variable X. (d)Demonstrate that Chebyshev's theorem holds for k = 2 and k = 3.
Assume the life of an electronic component in hours is a random variable with the following density function: 9....
The life expectancy (in years) of a certain brand of clock radio is a continuous random...
The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f(x)=12/(x+2)2 ifx20 otherwise (A) Find the probability that a randomly selected clock lasts at most 6 years. (B) Find the probability that a randomly selected clock radio lasts from 6 to 9 years. (C) Graph y -fx) for [O, 9] and show the shaded region for part (A). (A) What is the probability that a clock will...
3. (25 pts) The life X, in hours, of a certain kind of electronic part has a probability density function given by fory 2100 f,(y) o, fory <100 (A) What is the probability that a part will survive 250 hours of operation? (B) Find the expected value of the random variable (C) Find the variance of the random variable if the probability density function is given by y 2100 0, y<100.
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
The life expectancy (in years) of a certain brand of
clock radio is a continuous random variable with the probability
density function below
f(X) =
otherwine
(A) Find the probability that a randomly selected clock lasts at
most 6 years
(B) Find the probability that a randomly selected clock radio lasts
from 6 to 10 years
(C) Graph y=f(x) for A, 10 and show the shaded region lor part
(A)
The expectancy in years) of a certain brand of clock...
The distance X between trees in a given forest has a probability density function given f (x) cex/10, x >0, and zero otherwise with measurement in feet i) Find the value of c that makes this function a valid probability density function. [4 marks] ii) Find the cumulative distribution function (CDF) of X. 5 marks What is the probability that the distance from a randomly selected tree to its nearest neighbour is at least 15 feet. iii) 4 marks) iv)...
The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f(x) = 2/(x+ 272 #x20 0 otherwise (A) Find the probability that a randomly selected clock lasts at most 5 years (B) Find the probability that a randomly selected clock radio lasts from 5 to 11 years (C) Graph y = f(x) for [011] and show the shaded region for part (A)
The life (hour) of an electronic tube is a random variable with
the following probability density function.
Find the expected life of such a tube.
Let X be a random variable with the following probability
density functions.
Find the value of C
Find the cumulative distribution function of X.
1. Bir elektronik tüpün ömrü (saat) aşağıdaki olasılık yoğunluk fonksiyonu nuna sahip bir rassal değişkendir. f(3) = ce-C, c > 0 0, d.d. Böyle bir tüpün beklenen ömrünü bulunuz. 2....
Assume the life of an electronic component in hours is a random variable with the following density function: 9. f(x)-(01 ge-./soo, elsewhere. Find the following: (a) The mean life of the electronic component, (b) Find E(X2), (c) Find the variance and standard deviation of the random variable X. (d)Demonstrate that Chebyshev's theorem holds for k = 2 and k = 3.
Assume the life of an electronic component in hours is a random variable with the following density function: 9....
The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f(x)=12/(x+2)2 ifx20 otherwise (A) Find the probability that a randomly selected clock lasts at most 6 years. (B) Find the probability that a randomly selected clock radio lasts from 6 to 9 years. (C) Graph y -fx) for [O, 9] and show the shaded region for part (A). (A) What is the probability that a clock will...
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