Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 95% of the bulbs die before925 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimalplace.hoursCheckesc23$@51yre

Answered: Suppose that the lifetimes of a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. How to get and what is the bone density score corresponding to P15 is ?
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.
Prob-4 The lighting department of a city has installed 2000 electric lamps with an average life of 10,000 h and a standard deviation of 500 h. After what period of lighting hours would we expect 65.54% of the lamps to fail? Assume life of lamps are normally distributed. Sol:
The weights of a certain machine components are normally distributed with a mean of 8.85g and a standard deviation of 0.08g. Find the two weights that seperate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram. Draw a picture. Use Table A-2.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. The indicated IQ score, x, is (Round to one decimal place as needed.)
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to Pa1, the 91st percentile. This is the temperature reading separating the bottom 91% from the top 9%. Click to view page 1 of the table Click to view page 2 of the table. Which graph represents Pa,? Choose the correct graph below. OD. Oc. OB. OA. Ay The temperature for P91 is approximately . (Round to two decimal places as needed.) XLSX Click to select vour answerls). 33283.xls Exit Honorlock 22 MacBook Air 吕0 000 000 F4 F3 F6 F7 F8 F9 FIC #3 2$ * 3 4 5 6 7 8 E R Y U
Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard deviation a = 15. Find the probability that a randomly selected adult has an IQ between 91 and 119. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 91 and 119 is. (Type an integer or decimal rounded to four decimal places as needed.) Enter your answer in the answer box. MacBook Air esc 888 %23 & 2 3 4 5 6 7 8 Q E R T Y tab P A D G H caps lock K V в N M > ? control option command command option
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as needed.) d Normal Table (Page 2) .00 Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 5398 5793 .6179 .6554 .6915 7257 .7580 7881 .8159 .8413 8643 .8849 .9032 9192 9332 9452 .9554 .9641 9713 9772 .9821 9861 0007 .01 5040 5438 5832 6217 .6591 z=1.50 z=2.25 6950 7291 .7611 7910 .8186 .8438 8665 8869 9049 9207 9345 9463 .9564 9649 .9719 9778 9826 9864 .02 5080 5478 5871 6255 6628 .6985 7324 7642 7939 .8212 8461 8686 8888 .9066 9222 9357 9474 .9573 9656…
Today, the waves are crashing onto the beach every 4.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.3 seconds. Round to 4 decimal places where possible. 1. 66% of the time a person will wait at least how long before the wave crashes in?
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. Which graph represents P15? Choose the correct graph below. O A. AS P15 The bone density score corresponding to P15 is (Round to two decimal places as needed.) O B. A P15 Q C O C. A P15 Q Q O D. A P15

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