A certain industrial process is brought down for recalibration whenever the qual

Question

A certain industrial process is brought down for recalibration whenever the quality of the items produced falls below specifications. Let Xrepresent the number of times the process is recalibrated during a weed and assume that X has the following probability mass function (PMF). Report your answers to 2 decimal places. foc) 0.35 0.25 0.20 0.05 Source: Navidi. M (2008). Statistics for Engineers and Scientists. New York, NY: McGraw-Hill a) Find the value of A assuming the above function is a valid PMF. (1 point) b) Find P(1

Explanation / Answer

a) the sum of probabilities should be 1 , thus answer is 0.35+0.25+0.2+A+0.05=1 or A is 0.15

b) P(1<x<=3)=P(x=2)+P(x=3)=0.2+0.15=0.35

c) P(x<2)=P(x=0)+P(x=1)=0.35+0.25=0.6

d) P(x>=3)=P(x=3)+P(x=4)= 0.15+0.05=0.2

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