I have one attempt left, I need to check my answer with yours. s exercise illust

Question

I have one attempt left, I need to check my answer with yours.

s exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 70 customer orders to fil Each order requires o e component part hat s pur ased om a supplier. However, typica y 4% ofthe components are identi ed as d the companents can be assumed to be independent. defective, an (a) if th manufacturer stocks ,ü oamponents, what is the probablity that the orders can be filed without reordering components? h) If the manufacturer stodks 32 camponants, what is the probabiity that the d orders can be flled without reordering camponents? (c) If the manufacturer stocks 75 components, what is the probability that the 70 ardors can be filled without reordering components? Round yaur answers to threa decimal places (a.g. 08.70s). (a] The probabity is (h) The probabiity is () The probability is

Explanation / Answer

(a)The probability is 0.057

here we use binomomail distribution with parameter n=70 and oribability of non-defective= p=1-0.04=0.96

for binomial distribution Binomial distribution ,P(X=r)=nCrpr(1-p)n-r  

here n=70, r=70, p=0.96

required probability that the 70 orders can be filled without reordering components=

=P(X=70)=0.057 ( using ms-excel command =binomdist(70,70,0.96,0)

(b) The probability is 0.235

here n=72, r=70, p=0.96

required probability that the 70 orders can be filled without reordering components=

=P(X=70)=0.235 ( using ms-excel command =binomdist(72,70,0.96,0)

(c)The probability is 0.101

here n=75, r=70, p=0.96

required probability that the 70 orders can be filled without reordering components=

=P(X=70)=0.101 ( using ms-excel command =binomdist(75,70,0.96,0)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---