Question

problem1:

problem2:

Problem 1 While investigating a group of defective solar arrays, taken from the Mohammed Bin Rashid A Maktoum Solar Park in Dubai, you notice three main classifications of defects. 27% of defects are related to a cell's semiconductor material bandgap, 51% are related to impact damage, and 22% are age-related in nature. Over the study period, 3 instances of material bandgap defects and 5 occurrences of age-related defects are recorded. What is the most probable number of recorded defects related to impact damage? Problem 2 A building contractor determines that they have a 20% chance of winning any project they bid The cost of biding on a project (regardless of the bid's outcome) is 100,000 AED and the average amount of money they expect to earn on a successful bid is 0.5 million AED. If the company is expected to bid on 10 projects throughout the year (regardless of how many bids are successful), detemine the firm's yearly expected earnings, probability distribution function (including the earnings/losses for each outcome), and cumulative distribution function (including the earnings/losses for each outcome) on.

Answer 1

Anseer 2 Successfl bs Let xbe the no- Gyouen thet P(uccessful bid) = 0-2 Telal no btds fn Yeat brdeng Tofal Cost fovolued fn Totel money obledne d fer Suecesfu l bd 50 CApectd yeasly lo oo, ooe 500 000 X earing - 500,coo F(x) -- looo,0oo looo,ooD - 500 00o x 2 - Prebashly distbun fenctreni Loss) o lo Eamrags --mtllto Eont ngs o-6S = -o-5m o.30 fomgs an) tarotngs = o.5m x 4 tamtngs 5 comgs = 1.5m X 6 o.oo5 =4.5m O.o00 Canngs atotngs E 3.5 m Cantngs4m

Cummulafve drstbutorn o. lo X-O o 35 o. 611 o- 5 m -Cory o-96 5 m o. cq3 X 5 6 2.5 m O.qq99 3mA o 499995 3.5m b= X 1 wt

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