2017 Fas Mam 1442 001 intemet Best ti Test: Final Exam: Ch 1-7 Time Remaining: 0

Question

2017 Fas Mam 1442 001 intemet Best ti Test: Final Exam: Ch 1-7 Time Remaining: 01:633 Submit Test This Question: 1 pt 9of13 (1 compete) This Test: 13 pts possible An maonoble mandacturer that I n every 2500 aamotles produced has a particular mandachmg defect he probability of tinding 4 cars with b) The Poisson distbution can be uned to approxmate the binomial distribution for large values of n and small values of p. Repeat (a) using a Ponson dsb bution and compare the results Round to five decimal places as needed ) ) The probablity using the Poisson distrbution s Round to ive decimal places as needed) Compare the results Choose the correct answer below A. The wo probables aro approxmately the same B. The probabley calculated usng the Posson dstrbtos much larger O C. The probability calculated unsing the binomial dstrbution is much ager empts Click to select your answers

Explanation / Answer

Solution = p = 1/2500 = 0.0004 , q = 1 - p = 0.9996 , n = 5500
a) The probability using the binomiaal distribution is 0.10816
=> 5500C4 * p^(4) * q^(5500 - 4) = 0.10816

b) The probability using the poisson distribution is 0.10815
= > = np = 5500*0.0004 = 2.2
P(x; ) = (e^-)*(^x) / x! = (e^-2.2)*(2.2^4)/4! = 0.10815

c) option A. The two probabilites are approximately the same.

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