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Part $1$

Given the information below, estimate the probability that the noncritical path Upper B dash Upper F dash Upper G will take more than $20$ weeks. Hint: Subtract from $1\mathrm{.}0$ the probability that Upper B dash Upper F dash Upper G will take $20$ weeks or less. Refer to the standard normal tableLOADING....

Activity

Expected Time $($weeks$)$

Variance

A

$4\mathrm{.}0$

$0\mathrm{.}75$

B

$5\mathrm{.}5$

$0\mathrm{.}96$

C

$4\mathrm{.}0$

$0\mathrm{.}45$

D

$12\mathrm{.}5$

$2\mathrm{.}07$

E

$7\mathrm{.}0$

$2\mathrm{.}40$

F

$9\mathrm{.}5$

$2\mathrm{.}78$

G

$4\mathrm{.}0$

$0\mathrm{.}49$

Part $2$

The probability that this path will take more than $20$ weeks to compl

Given the information below, estimate the probability that the noncritical path B$-$F$-$G will take more than $20$ weeks. Hint: Subtract from $1\mathrm{.}0$ the probability that B$-$F$-$G will take $20$ weeks or less. Refer to the standard normal table.

$\backslash$table$[[$Activity$,$Expected Time $($weeks$),$Variance$],[$A$,4\mathrm{.}0,0\mathrm{.}75],[$B$,5\mathrm{.}5,0\mathrm{.}96],[$C$,4\mathrm{.}0,0\mathrm{.}45],[$D$,12\mathrm{.}5,2\mathrm{.}07],[$E$,7\mathrm{.}0,2\mathrm{.}40],[$F$,9\mathrm{.}5,2\mathrm{.}78],[$G$,4\mathrm{.}0,0\mathrm{.}49]]$

The probability that this path will take more than $20$ weeks to complete is $($Enter your response rounded to four decimal places.$)$

The table below shows the total area under the normal curve for a point that is Z standard deviations to the right of the mean.

$\backslash$table$[[$Z$,00,\mathrm{.}01,\mathrm{.}02,0\mathrm{.}03,0\mathrm{.}04,0\mathrm{.}05,0\mathrm{.}06,0\mathrm{.}07,0\mathrm{.}08,0\mathrm{.}07],[0\mathrm{.}0,5000,5040,5080,5120,5160,5199,5239,0\mathrm{.}5279,0\mathrm{.}5319,0\mathrm{.}5359],[\mathrm{.}1,398,5438,5478,517,557,5596,5636,5675,5714,5754],[0\mathrm{.}2,793,832,5871,0,,,26,5064,21,61],[3,179,5217,6255,5293,31,6368,6406,6443,6480,\mathrm{.}6517],[0\mathrm{.}4,6554,6591,\mathrm{.}6628,0\mathrm{.}6664,\mathrm{.}6700,\mathrm{.}6736,0\mathrm{.}6772,0\mathrm{.}6808,\mathrm{.}6844,1\mathrm{.}6879],[\mathrm{.}5,5,0,6985,,4,7088,3,57,0,7224],[0\mathrm{.}6,7258,7291,\mathrm{.}7324,0\mathrm{.}7357,\mathrm{.}7389,0\mathrm{.}7422,0\mathrm{.}7454,0\mathrm{.}7486,0\mathrm{.}7518,1\mathrm{.}7549],[0\mathrm{.}7,580,7612,7642,7673,7704,0\mathrm{.}7734,0\mathrm{.}7764,0\mathrm{.}7794,\mathrm{.}7823,1\mathrm{.}7852],[\mathrm{.}8,7881,7910,\mathrm{.}7939,7967,0\mathrm{.}7996,0\mathrm{.}8023,51,0\mathrm{.}8079,8106,8133],[0\mathrm{.}9,3159,8186,\mathrm{.}8212,0\mathrm{.}8238,\mathrm{.}8264,0\mathrm{.}8289,0\mathrm{.}8315,0\mathrm{.}8340,0\mathrm{.}8365,\mathrm{.}8389],[1\mathrm{.}0,,8,1,,,,54,,,8621],[1\mathrm{.}1,8643,8665,\mathrm{.}8686,0\mathrm{.}8708,0\mathrm{.}8729,0\mathrm{.}8749,0\mathrm{.}8770,0\mathrm{.}8790,0\mathrm{.}8810,0\mathrm{.}8830],[1\mathrm{.}2,349,9,,7,25,,62,30,97,\mathrm{.}9015],[1\mathrm{.}3,032,9049,\mathrm{.}9066,0\mathrm{.}9082,0\mathrm{.}9099,0\mathrm{.}9115,0\mathrm{.}9131,0\mathrm{.}9147,\backslash$table$[[0\mathrm{.}9162]],0\mathrm{.}9177],[1\mathrm{.}4,192,9207,\mathrm{.}9222,0\mathrm{.}9236,\mathrm{.}9251,0\mathrm{.}9265,0\mathrm{.}9279,0\mathrm{.}9292,0\mathrm{.}9306,0\mathrm{.}9319],[,,,,,,,,,,],[1\mathrm{.}6,452,9463,\mathrm{.}9474,0\mathrm{.}9485,0\mathrm{.}9495,0\mathrm{.}9505,0\mathrm{.}9515,0\mathrm{.}9525,0\mathrm{.}9535,0\mathrm{.}9545],[1\mathrm{.}7,54,54,73,82,,,508,16,25,0\mathrm{.}9633],[1\mathrm{.}8,641,9649,\mathrm{.}9656,0\mathrm{.}9664,\mathrm{.}9671,0\mathrm{.}9678,0\mathrm{.}9686,0\mathrm{.}9693,\backslash$table$[[0\mathrm{.}9700]],0\mathrm{.}9706],[1\mathrm{.}9,713,9719,9726,0\mathrm{.}9732,0\mathrm{.}9738,0\mathrm{.}9744,0\mathrm{.}9750,0\mathrm{.}9756,\backslash$table$[[0\mathrm{.}9762]],0\mathrm{.}9767],[2\mathrm{.}0,773,9778,33,0\mathrm{.}9788,93,0\mathrm{.}9,0\mathrm{.}9803,0\mathrm{.}9808,\backslash$table$[[0\mathrm{.}9812]],0\mathrm{.}9817],[2\mathrm{.}1,321,26,30,34,38,42,846,50,\mathrm{.}9854,\mathrm{.}9857],[2\mathrm{.}2,861,55,8,71,75,0\mathrm{.}9878,81,0\mathrm{.}9884,\backslash$table$[[0\mathrm{.}9887]],90],[2\mathrm{.}3,893,9896,\mathrm{.}9898,9901,\mathrm{.}9904,0\mathrm{.}9906,0\mathrm{.}9909,0\mathrm{.}9911,\backslash$table$[[0\mathrm{.}9913]],\mathrm{.}9916],[2\mathrm{.}4,918,920,22,925,27,29,931,0\mathrm{.}9932,\backslash$table