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...
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...
The lifetime, in years, of a certain type of pump is a random variable with probability density function x 20 (x+1) 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find the...
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following probability density function: f(x) = {kx +.2, 3<x<5 0 otherwise a) what is the value of K b) what is the mean of x c) Fx(4) =
A certain electronic product is 5% likely to be "dead" out of the box. The life expectancy of the remaining inventory follows an exponential distribution with a mean of 8 years. Define random variable X to model the life expectancy (in years) of the entire (combined) inventory. (a) Mathematically describe the pdf fx(x) (b) Determine EX. I want a number, not a formula. (c) Determine and accurately plot the edf Fx(x) (d) Suppose the manufacturer provides a full replacement warranty...
x 20 The lifetime, in years, of a certain type of pump is a random variable with probability density function 3 (x+1)+ 0 True (Note: “True" means “Otherwise” or “Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find...
The life expectancy in Africa is 74 with a standard deviation of 8 years. A random sample of 49 individuals is selected. 1.What is the probability that the sample mean will be between 73.5 and 76 years? 2.What is the probability that the sample mean will be larger than 77 3.What is the probability that the sample mean will be less than 72.7 years?
Problem No. 6.4 / 10 pes. The lifetime, in years of a certain type of pump is a random variable with probability density function .x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the...
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump is a random variable with probability density function (x+1)* x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of...
1 The life (in years) of a certain machine is a random variable with probability density function defined by f(x) = 5 + 2 vx for x in (1, 25). 136 A. Find the mean life of this machine. The mean life is approximately years. (Round to two decimal places as needed.) B. Find the standard deviation of the distribution. The standard deviation is approximately years. (Round the final answer to two decimal places as needed. Use the expected value...