### Expected Value Calculation for Defective LCDs**Question: What is the expected value for the number of defective LCDs?**Options:1. \(0\)2. \(0.1\)3. \(0.45\)4. \(0.5\)5. \(0.9\)6. \(1\)---In this question, the expected value refers to the anticipated number of defective LCDs based on a given probability distribution. The expected value (E[X]) is a key concept in probability and statistics that provides a measure of the center of a probability distribution.To determine the expected value, consider the following general formula for a discrete random variable \(X\):\[ E[X] = \sum (x_i \cdot p_i) \]Where:- \(x_i\) represents the value of the \(i\)-th outcome.- \(p_i\) represents the probability of the \(i\)-th outcome.For any given context, you will need to substitute the provided or known values into the formula to compute the expected value. Ensure you have access to the necessary probabilities and outcomes specific to defective LCDs to apply this formula accurately. A manufacturer of liquid crystal displays (LCDs) is studying their production lines. The probability of sampling a defective LCD is 0.1. A sample of 5 LCDs is taken. You may assume that an LCD being defective is independent of any of the others being defective.

Answered: What is the expected value for the…

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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Shomee is rolling a die repeatedly. What is the probability that a six will emerge for the first time on the fifth roll? What is the expected number of rolls to get the first six and what is the standard deviation of the number of rolls?
In a cafe, the proportion of people who order coffee with their lunch is 0.9. A simple random sample of 144 patrons of the restaurant is taken. What is the expected value of the sample proportion? E(P) - What is the standard deviation (standard error) of the sample proportion P? Op What is the shape of the sampling distribution of P ?(just write the name: Normal, not normal, skewed, bimodal, uniform, etc. for instance) What is the probability that the proportion of people who will order coffee with their meal is between 0.85 to 0.875? (Round to two place decimal)
UNKNOWN STANDARD DEVIATION
(b) A statistical report showed a mean of 35.4 motor vehicle deaths each year in a city. (i) Find the mean number of deaths per day. (ii) Find the probability that there are more than 5 motor vehicle deaths in a 15- day period.
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Suppose that the amount of time a machine produces an item is normally distributed with mean 4 hours and standard deviation 1 hour. What is the probability that the amount of time for this machine to produce 4 items is greater than 18 hours?
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The expected value of a discrete random variable always corresponds to an actual outcome that may occur.
what is the expected number of failures?
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