2 120 points) A mail-corder computer business has Shoe ediphome l use at a speci

Question

2 120 points) A mail-corder computer business has Shoe ediphome l use at a specified time. Suppose the pmf ofX is as given in the aoominge aeniethe mumtber of lines in 0.15 a (at least 3 lines are in use) b (between 2 and 4 lines, inclusive, are not in use Findings of a research states th the grotubhilitgy af an iualwhao is Jeft-handed is 3. (20 points 0.20. Consider a class of 20 students. Amswer the Sollowing questions a. What is the probability that the number of let hamidrs in the cls is less tham 41 b. If you select two students randomly, what is the prohubility that bothofthem ane left handes?

Explanation / Answer

Ans:

2)

a)P(atleast 3 are in use)=0.22+0.25=0.27

b)P(between 2 and 4 are not in use)=P(0 or 1 are in use)=0.18+0.15=0.33

3)

a)Binomial with p=0.2,n=20

P(x<4)=P(x<=3)=binomcdf(20,0.2,3)=0.4114

b)P(both of them are left handed)=0.2*0.2=0.04

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