The table below shows a probability density function far the discrete random variable X, the number of errors found in amachine during a monthly quality control inspection at a food production facility. What is the probability that X is 1, 2, or 37• Provide the final answer as a fraction.P(X = x)1/101.3/101/2033/2042/5

The question is about discrete probability distribution Given : To find : Prob. that X is 1, 2 or…

Answered: The table below shows a probability…

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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The probability distribution of X, the number of imperfections for every 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by 1 2 3 4 f(x) 0.41 0.37 0.17 0.05 0.01 find the mean and variance of X. (10 pts)
As you walk into your econometrics exam, a friend bets you $10 that she will outscore you on the exam. Let ✗ be a random variable denoting your winnings. X can take the values 10, if you win teh bet, 0 if there is a score tie, or -10 if you lose. You know that the probability distribution for ✗ is denoted by f(x) and it depends on whether she studied for the exam or not. Let Y be the random variable that indicates if she studied, Y = 0 if she studied and Y = 1 if she did not study. The following table denotes the joint distribution of X and Y : Y=0 Y=1 f(x) X = -10 0.18 P1 P2 X = 0 0 P3 0.3 X = 10 P4 0.45 P5 f(y) P6 0.75 Probabilities P1, P2, P3, P4, P5, P6 are not displayed in the table. Answer the following items: (a) (b) (a) Compute the Probabilities P1, P2, P3, P4, P5, P6 of the table. (b) Compute the expectation E(X). Should you take the bet? (c) What is the probability distribution of your winnings if you know that she did not study, namely, P(X = −10|Y = 1), P(X = 0|Y = 1), P(X…
The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 20 minutes.What is the probability that washing dishes tonight will take me between 13 and 18 minutes?Give your answer accurate to two decimal places.
Mark has a batting average of 0.17. Let X be the number of hits in his next 16 at bats. What is the distribution of X? X (,) Please show the following answers to 4 decimal places. What is the probability that he has exactly 7 hits? 0.0088 What is the probability that he has less than 7 hits?
The time it takes me to wash the dishes is uniformly distributed between 9 minutes and 14 minutes.What is the probability that washing dishes tonight will take me between 10 and 11 minutes?Give your answer accurate to two decimal places.
A researcher recorded the number of shots made, X, out of 10 free throws by a sample of 1000 randomly selected college students. The table below is a probability distribution table representing the data collected. Calculate the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. x P(x) 0 0.01 1 0.01 2 0.02 3 0.04 4 0.03 5 0.05 6 0.21 7 0.29 8 0.21 9 0.08 10 0.05
Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=
Let the random variable X = the number of motor vehicle accidents per student in one year. Find the mean and standard deviation of the probability distribution, and interpret the value of the mean in the context of the real-life situation. X 1 3 4 Probability 0.15 0.29 0.25 0.18 0.10 0.03 Interpretation of µz
The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 20 minutes.What is the probability that washing dishes tonight will take me between 14 and 19 minutes?Give your answer accurate to two decimal places.
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.What is the probability that washing dishes tonight will take me between 14 and 17 minutes?Give your answer accurate to two decimal places.
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 17 minutes.What is the probability that washing dishes tonight will take me between 12 and 16 minutes?Give your answer accurate to two decimal places.
action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4

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