Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?

Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.
The scores of a certain population on the wechler intelligence scale for children are thought to be normally distributed, with
A particular fruit's weights are normally distributed, with a mean of 422 grams and a standard deviation of 10 grams. If you pick one fruit at random, what is the probability that it will weigh between 427 grams and 445 grams
Question 4 ww Based on a study, the volume of a randomly selected large soda serving has an unknown distribution with a mean of 29.7 oz and a standard deviation of 0.5 oz. Let X be the volume of a randomly selected large soda serving and let S be the total volume of a random sample of size 51. 1. Describe the probability distribution of X and state its parameters and o: X~ Select an answer ( Select an answer N F B unknown and find the probability that the volume of a randomly selected large soda serving is between 30 and 30 oz. (Round the answer to 4 decimal places) O 2. Use the Central Limit Theorem Select an answer Select an answer the sample size is large (n>30) although the distribution of the original population is unknown the original population is normally distributed the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown to describe the probability distribution of S and state its…
Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 545 and standard deviation 11 and the second plane's speed is also normally distributed with mean and standard deviation 515 and 11, respectively. (a) What is the probability that after 2 hr of flying, the second plane has not caught up to the first plane? (Round your answer to four decimal places.) (b) Determine the probability that the planes are separated by at most 10 km after 2 hr. (Round your answer to four decimal places.)
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 124.
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.
Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is
A food safety engineer has discovered that a food warmer has temperature problems. While they set up the temperature at 78c, it heats with the mean of 78c but a standard deviation of 2c. The problem is that any food that drops below 74c can create food poison for the consumers. What is the probability of having non-standard food from this food warmer? In other words, what proportion of food can be a health hazard? (Use the number only without any extra character or % sign)
A particular fruit's weights are normally distributed, with a mean of 360 grams and a standard deviation of 35 grams.If you pick 3 fruit at random, what is the probability that their mean weight will be between 322 grams and 422 grams
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0°C and 2.679°C.
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?