Suppose that the sailboats builders have fixed monthly costs of 30.000€ and an additional construction cost of 4.800€ per boat.
Number of sailboats xi
Probability pi
2
0.15
3
0.20
4
0.30
5
0.25
6
0.05
7
0.05
From the table,
1).Mean ="x*p"
0.3,0.6,1.2,1.25,0.3,0.35
standard deviation ="\\sqrt{variance}"
variance= x2*p
0.6,1.8,4.8,6.25,1.8,2.45
2).monthly cost of sail boats
for mean
=30+4.8*mean
31.44,32.88,35.76,36,31,44,31,68
standard deviation
=30+4.8* standard deviation
33.718,36.4398,40.5163,42,36.4398,37.513
3)monthly cost given that 50 is fixed and 4.8 per cost.
mean =50+4.8*mean
51.44,52.88,88.76,56,51.44,51.68
standard deviation =50+4.8* standard deviation
53.718,56.4398,60.516,62,56.439,57.513
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