The lifespan of a light bulb manufactured by a certain company is measured by a random...
The lifespan of a light bulb manufactured by a certain company is measured by a random variable X with the following probability density function, f (x) = { 0.02e−0.02x x > 0 0 otherwise where x denotes the life, in hours, of a randomly chosen bulb.
What is the probability that the lifespan of the bulb is between 30 and 80 hours? (Round your answer to 4 decimal places.)
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
The lifespan of a light bulb manufactured by a certain company
is measured by a random...
Let X be the length of life of a 60-watt light bulb manufactured by a certain...
Let X be the length of life of a 60-watt light bulb manufactured by a certain company. If a random sample of 25 units is tested until they burn out, yielding a sample mean of x = 1478 hours and s 2 x = 1296, compute a confidence 95 % -confidence interval for the mean and the variance.
The current in a certain circuit as measured by an ammeter is a continuous random variable...
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) =
6. Assume that the lifetime of a light bulb is 5X years where X is a...
6. Assume that the lifetime of a light bulb is 5X years where X is a random variable with the density function if 1 2, otherwise 0, f(x) (a) What fraction of light bulbs last less than 7.5 years? (b) What fraction of light bulbs that last less than 7.5 years lasted between 5 and 6.25 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) = 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 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...
16. In order to determine the life expectancy of a particular type of light bulb manufactured...
16. In order to determine the life expectancy of a particular type of light bulb manufactured by a lighting company, the corporate quality control officer randomly selected 10 bulbs from the pre-packaging section of the company's production line. The bulbs were subsequently tested in the quality control lab and the following data was recorded. Bulb Life (Hours). 3900 s ildedorg eris al terw.o 4200 weelido motus 4100 3800 4000 4300 3600 cools to Tenwo erTAL Tennib jot emotaus a. Calculate...
(Sec. 4.3) An average light bulb manufactured at The Lightbulb Company lasts and average of 300...
(Sec. 4.3) An average light bulb manufactured at The Lightbulb Company lasts and average of 300 days, with a standard deviation of 50 days. Suppose the lifespan of a light bulb from this company is normally distributed. (a) What is the probability that a light bulb from this company lasts less than 210 days? More than 330 days? (b) What is the probability that a light bulb from this company lasts between 280 and 380 days? (c) How would you...
5. The life of a type of electric light bulb can be modeled by an exponential...
5. The life of a type of electric light bulb can be modeled by an exponential distribution with 0.001 (a) What is the average life of this type of light bulb? And determine the probability that a randomly picked light bulb has a life shorter than the average life. (2pt) (b) Determine the probability that a light bulb fails within 1200 hours. (2pt) (c) If 4 bulbs are installed at the same time and work independently in a house, what...
Suppose that the probability distribution function for the life expectancy of a light bulb is giv...
Suppose that the probability distribution function for the life expectancy of a light bulb is given below. If a lamp has two light bulbs, what is the probability that they will both fail within the first 1000 hours (Hint: Assume one light bulb is X and the other Y. Since X and Yare independent events, assume,f(x,y)-NX)从Y ) where f-f.-f, then use problem #4 from Written Assignment #7 as a guide for the anti-differentiation.) f(x)=-1 е-(X-1000,2/125000 250 y2r
Suppose that the...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 743 hours. A random sample of 21 light bulbs has a mean life of 717 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e) (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: $717...
6. Assume that the lifetime of a light bulb is 5X years where X is a random variable with the density function if 1 2, otherwise 0, f(x) (a) What fraction of light bulbs last less than 7.5 years? (b) What fraction of light bulbs that last less than 7.5 years lasted between 5 and 6.25 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) = 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 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...
16. In order to determine the life expectancy of a particular type of light bulb manufactured by a lighting company, the corporate quality control officer randomly selected 10 bulbs from the pre-packaging section of the company's production line. The bulbs were subsequently tested in the quality control lab and the following data was recorded. Bulb Life (Hours). 3900 s ildedorg eris al terw.o 4200 weelido motus 4100 3800 4000 4300 3600 cools to Tenwo erTAL Tennib jot emotaus a. Calculate...
(Sec. 4.3) An average light bulb manufactured at The Lightbulb Company lasts and average of 300 days, with a standard deviation of 50 days. Suppose the lifespan of a light bulb from this company is normally distributed. (a) What is the probability that a light bulb from this company lasts less than 210 days? More than 330 days? (b) What is the probability that a light bulb from this company lasts between 280 and 380 days? (c) How would you...
5. The life of a type of electric light bulb can be modeled by an exponential distribution with 0.001 (a) What is the average life of this type of light bulb? And determine the probability that a randomly picked light bulb has a life shorter than the average life. (2pt) (b) Determine the probability that a light bulb fails within 1200 hours. (2pt) (c) If 4 bulbs are installed at the same time and work independently in a house, what...
Suppose that the probability distribution function for the life expectancy of a light bulb is given below. If a lamp has two light bulbs, what is the probability that they will both fail within the first 1000 hours (Hint: Assume one light bulb is X and the other Y. Since X and Yare independent events, assume,f(x,y)-NX)从Y ) where f-f.-f, then use problem #4 from Written Assignment #7 as a guide for the anti-differentiation.) f(x)=-1 е-(X-1000,2/125000 250 y2r
Suppose that the...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 743 hours. A random sample of 21 light bulbs has a mean life of 717 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e) (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: $717...
Most questions answered within 3 hours.
-
Write a program to solve the Josephus problem, with the following
modification:
Sample Input:
./a.out n...
asked 1 hour ago -
At the start of a CD it is spinning at a rate of 525 rpm
(revolutions...
asked 1 hour ago -
4. Without doing any calculations, predict whether the observed
∆T would increase, decrease or remain the...
asked 3 hours ago -
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 4 hours ago -
Ripples in a pond travel at a velocity of 3 m/s with one peak
passing a...
asked 4 hours ago -
A man stands on the roof of a building of height 13.0 mm and
throws a...
asked 4 hours ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 5 hours ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 5 hours ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 5 hours ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 5 hours ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 5 hours ago -
Why are polymers not typically casted into products?
asked 5 hours ago