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A machine shop has 200 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.008. During some days, no machines are inoperative, but on other days, one, two, three, or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day? Multiple Choice 0.0800 0.3230 0.2019 0.5249

          A machine shop has 200 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.008. During some days, no machines are inoperative, but on other days, one, two, three, or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day?
Multiple Choice
0.0800
0.3230
0.2019
0.5249
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A machine shop has 200 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.008. During some days, no machines are inoperative, but on other days, one, two, three, or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day? Multiple Choice 0.0800 0.3230 0.2019 0.5249
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Keondre P.

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A machine shop has 100 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.002. During some days, no machines are inoperative, but during some days, one, two, three, or more are broken down. What is the probability that fewer than two machines will be inoperative during a particular day? Multiple Choice 0.1637 0.8187 0.0200 0.9824

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A machine shop has 100 drill presses and other machines in constant use. The probability that a machine will become inoperative during a given day is 0.003. During some days no machines are inoperative, but during some days, one, two, three or more are broken down. a. What is the expected number of drill presses that would be inoperative during a given day? Use the Poisson distribution. b. What is the probability that exactly two machines will be inoperative during a particular day? Use the Poisson distribution. c. What is the probability that two or fewer machines will be inoperative during a particular day? Use the Poisson distribution.

Juan N.


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Transcript

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00:01 For this question, first of all, let me take notes what's given here.
00:04 The sample size was given here, which is denoted by n.
00:08 This is equal to 200.
00:10 And also we know that the probability here, so the probability was given as 0 .008.
00:16 So the probability of success, this is 0 .008.
00:19 So what we're going to do? so we're going to use the poisson distribution here.
00:23 Maybe first of all, i can just apply the binomial distribution here.
00:26 So for the mean value, and we can just get.
00:30 Some of the values here.
00:32 So what we're going to do? we basically find the probabilities.
00:36 So for the posan distribution we need the lambda value.
00:39 So the lambda value which is equal to n times p which is 200 times 0 .008...
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