please share working. Question 1 contamination problems in semiconductor manufac

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please share working.

Question 1 contamination problems in semiconductor manufacturing can result in a functional defect, a minor defect or no defect in the final product. Suppose that 20, 50 and 30% of the contamination problems result functiona minor and no defects respectively. Assume that the effects of 10 contamination problems are independent. Round your answers to four decimal places (e.g. 98.7654) (a) What is the probability that the 10 contamination problems result in two functional defects and five minor defects? 23 (b) What is the expected number of contamination problems that result in no defects? (c) What is the standard deviation of the number of contamination problems that result in no defects?

Explanation / Answer

a) from multinomial distribution probability =(10!/(2!*5!*3!))*(0.2)2*(0.5)5*(0.3)3 =0.0851

b)expected numebr =np =10*0.3 =3

c) std deviation =(np(1-p))1/2 =1.4491

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