An activity on a PERT network has these time estimates: optimistic =2, most likely = 3, and pessimistic 8. Its expected time and variance (if it is a critical activity) are:_______

Respuesta :

Answer:3.67,1

Explanation:

TE = (O + 4T + P) / 6

where,

TE = Pert Expected Time Duration,

O = Optimistic estimate, =2

T = Typical estimate,=3

P = Pessimistic estimate=8

TE = (O + 4T + P) / 6

=(2+4*3+8)/6

3.6666=3.67

σ = (P – O)/6

=(8-2)/6

=1

Expected time and variance are 3.67 and 1.

Given that;

Optimistic (to) =2

Most likely (tm) = 3

Pessimistic (tp) = 8

Find:

Expected time and variance

Computation:

[tex]Expected time =\frac{to + 4tm + tp}{6} \\\\Expected time =\frac{2 + 4(3) + 8}{6} \\\\Expected time =\frac{22}{6} \\\\Expected time = 3.67[/tex]

[tex]Variance = \sigma^2 = [\frac{tp - to}{6} ]^2\\\\Variance = \sigma^2 = [\frac{8 - 2}{6} ]^2\\\\Variance = \sigma^2 = 1[/tex]

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