Question

2) A company produces light bulbs with an average product life of 1000 hours and a...

2) A company produces light bulbs with an average product life of 1000 hours and a standard deviation of 100 hours. Assume a normal distribution and answer the following:

a- What percentage of light bulbs produced are expected to last longer than 1000 hours, i.e. P(x > 1000)? Express your answer in decimals.

b- What percentage of light bulbs produced are expected to last shorter than 800 hours, i.e. P(x < 800)? Express your answer in decimals.

c- What percentage of light bulbs produced are expected to last between 700 and 800 hours, i.e. P(700 < x < 800)? Express your answer in decimals.

d- What percentage of light bulbs produced are expected to last between 1200 and 1300 hours, i.e. P(1200 < x < 1300)? Express your answer in decimals.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
There is a large supply of light bulbs with the average life of 1000 hours and...
There is a large supply of light bulbs with the average life of 1000 hours and the standard deviation of 50 hours. A light bulb is drawn at random. Find the probability that it will last more than 1020 hours. A random sample of 25 light bulbs is drawn. Find the probability that the sample average life is more than 1020 hours. Using Ti-34 calculator Equations/answer written out using binomcdf(x,x,x) Binompdf(x,x,x) Invnorm InvT tcdf If possible/needed to solve the equation
Q7: There is a large supply of light bulbs with the average life of 1000 hours...
Q7: There is a large supply of light bulbs with the average life of 1000 hours and the standard deviation of 50 hours. A light bulb is drawn at random. Find the probability that it will last more than 1020 hours. A random sample of 25 light bulbs is drawn. Find the probability that the sample average life is more than 1020 hours.
LED light bulbs have an expected life that is exponentially distributed with a mean of 5,000...
LED light bulbs have an expected life that is exponentially distributed with a mean of 5,000 hours. Determine the probability that one these lights will last: a- -  At least 6,000 hours b- - No longer than 1,000 hours c- - Between 1,000 and 6,000 hours
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 question. What proportion of light bulbs will last between 59 and 61 hours? (4 decimals) What is the probablity that a randomly selected light bulb lasts less than 45 hours? (4 decimals)
Suppose that lifetimes of light bulbs produced by a certain company are uniformly distributed between 700...
Suppose that lifetimes of light bulbs produced by a certain company are uniformly distributed between 700 and 1100 hours. What is the probability for a randomly selected 64 light bulbs that total lifetime is at least 55600 hours? (use 4 digits after decimal point)  [hint: P(ΣX ≥ 55600 hours)=?]
The lifetime of light bulbs produced by a company are normally distributed with mean 1500 hours...
The lifetime of light bulbs produced by a company are normally distributed with mean 1500 hours and standard deviation 125 hours. (c) If three new bulbs are installed at the same time, what is the probability that exactly two will be burning after 1400 hours? (d) If three new bulbs are installed at the same time, what is the probability that at least two will be burning after 1400 hours? Enter your answer as a decimal, not a percentage. Round...
Suppose that lifetimes of light bulbs produced by a certain company are uniformly distributed between 700...
Suppose that lifetimes of light bulbs produced by a certain company are uniformly distributed between 700 and 1100 hours. What is the probability for a randomly selected 64 light bulbs that total lifetime is at least 55600 hours?
The lifetimes of light bulbs that are advertised to last for 5, 000 hours are nor-...
The lifetimes of light bulbs that are advertised to last for 5, 000 hours are nor- mally distributed with a mean of 5, 100 hours and a standard deviation of 200 hours. What is the probability that a bulb lasts longer than the advertised figure?
Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56...
Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56 hours and a standard deviation of 3.2 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 50 hours or​ less? ​(c) What proportion of light bulbs will last between 58 and 62 ​hours? ​(d) What is the probability that a randomly selected light bulb lasts...
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 51 hours or​ less? ​(c) What proportion of light bulbs will last between 58 and 61 ​hours? ​(d) What is the probability that a randomly selected light bulb lasts...