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Discrete Question 12, 4.3.27 Part 1 of 3 HW Score: 82.69%, 10.75 of 13 points Points: 0 of 1 Save An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. (a) The probability using the binomial distribution is (Round to five decimal places as needed.)

          Discrete
Question 12, 4.3.27
Part 1 of 3
HW Score: 82.69%, 10.75 of 13
points
Points: 0 of 1
Save
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
(a) The probability using the binomial distribution is
(Round to five decimal places as needed.)

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discrete question 12 4327 part 1 of 3 hw score 8269 1075 of 13 points points 0 of 1 save an automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufactu 99008

Added by Krystal W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Kari Hasz

10/13/2022

Step 1

The problem states that 1 in every 2500 automobiles has a defect. So, the probability of a defect, $p = \frac{1}{2500} = 0.0004$. A random sample of 4500 cars is taken, so the number of trials, $n = 4500$. We want to find the probability of finding 4 cars with the Show more…

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Discrete Question 12, 4.3.27 Part 1 of 3 HW Score: 82.69%, 10.75 of 13 points Points: 0 of 1 Save An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. (a) The probability using the binomial distribution is (Round to five decimal places as needed.)

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