Question

Reserve Problems Chapter 5 Section 5 Problem 4 Four electronic ovens that were dropped during shipment are Inspeced and classified as containing either a major, a minor, or no defect. In the past, 60% of dropped ovens had a major defect, 30% had a minor defect, and 10% had no defect. Assume that the defects on the four ovens occur independently () What is the probability that, of the four dropped ovens, two have a major defect and two have a minor defect? Round your answer to four decimal places (e.g. 98.7654). (b) What is the probability that no oven has a defect? Round your answer to five decimal places (e.g. 98.76543). LINK TO TEXT Detemine the following: (c) Let x and y denote the numbers of ovens with a major and minor defects, respectively. Dit probability the number with a minor defect: ass function of the number of ovens with a major defect and

Answer 1

We have given 3 Categories 1 X=major , y=miner z= no defert Now, P, = P(Mager) = 0.60 1 P2 =P ( Minor) = 0.30 Po = P( No defert) = 0.10 i To find, a) P(2 major f 2 mines among 4) = (4)(0.6) (0.3.) = 0.1944 2 1 o) P ( No defect among 4) - (4) (0.1)? = 0.0001 e) (x,y) ~ MN (4,0-6,0.3) with pmf is , - P(x=x, y=y) E 4! 4-ary Hy! (4-Rry) 0:6 (0.3) (0.1) in+y< 4 d) Now, x ~ Bin (4,0.6) - By .. E(X) = 4x0.6 = 2.4 Jonation of Multivariate e similarly, y~ Bin (4, 0.3) I Aho Binonnial → E (4) = 4 x0.3 = 1.2 on Multimonial Scanned with CamScanner TETRACHTSSEISTA

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