The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What...

Question

Question

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What...

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last less than 800 hours?

.6321

.5507

.7135

.4493

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Correct option "B"

0.5507

The following information is provided: = 1000. The provided mean is 3 We need to compute Pr(X < 800). Therefore, the followin

Add a comment

Answer 2

Answer #2

Let xbe life of a light bulb Xn exp The probability density funchon, The cumulatiye distibudion funchom, we want to find , PTX < 800下. FC800] -800 8 o tooo Probability-o5507

Add a comment

Answer 3

Similar Homework Help Questions

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What...

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last more than 1,200 hours? A .3012 B .4345 C .3679 D .6988
Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of...

Lucky Lumen light bulbs have an expected life that is exponentially distributed with a mean of 20,000 hours. Determine the probability that one of these light bulbs will last: 1. At least 20,000 hours 2. No longer than 4000 hours 3. Between 4,000 and 24,000 hours Please show all work
The life expectancy of a particular brand of light bulbs is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. What is the probability that a bulb will last between 1500 and 1650 hours?

The life expectancy of a particular brand of light bulbs is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. What is the probability that a bulb will last between 1500 and 1650 hours?

The mean life of a particular brand of light bulb is 1200 hours and the standard...

The mean life of a particular brand of light bulb is 1200 hours and the standard deviation is 75 hours. Tests show that the life of the bulb is approximately normally distributed. What is the range of hours that approximately 68% of the bulbs will last?
A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life...

A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?
The life in hours of a 75-watt light bulb is known to be normally distributed with...

The life in hours of a 75-watt light bulb is known to be normally distributed with σ = 25 hours. Suppose that you wanted the total width of the two-sided confidence interval on the mean life to be six hours at 95% confidence. What sample size should be used?

The life in hours of a 75-watt light bulb is known to be normally distributed with...

The life in hours of a 75-watt light bulb is known to be normally distributed with = 23 hours. A random sample of 20 bulbs has a mean life of X= 1011 hours. Suppose that we wanted the margin of error in estimating the mean life from the two-sided confidence interval to be five hours at 95% confidence. What sample size should be used? Round up the answer to the nearest integer. Statistical Tables and Charts
The life in hours of a 75-watt light bulb is known to be normally distributed with...

The life in hours of a 75-watt light bulb is known to be normally distributed with σ = 27 hours. A random sample of 20 bulbs has a mean life of x Overscript bar EndScripts = 1015 hours. Suppose that we wanted the total width of the two-sided confidence interval on mean life to be six hours at 95% confidence. What sample size should be used? Round up the answer to the nearest integer.
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57...

Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 52 hours or less? (c) What proportion of light bulbs will last between 57 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts...

The lifetime of a microprocessor is exponentially distributed with a variance of 4,000,000 hours. a. What...

The lifetime of a microprocessor is exponentially distributed with a variance of 4,000,000 hours. a. What proportion of microprocessors will function for less than 5,000 hours? b. A microprocessor has been functioning for 1,000 hours. What is the probability that it will function for a total of at least 6,000 hours?

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What...

Homework Answers

Add Answer to:
The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What...

Post as a guest

Earn Coins