Question

Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working environment or conditions themselves are unsafe. On the other hand, accidents can occur due to carelessness of so-called human error. In addition, the worker's shift, 700 AM 10 300 PM day shift), 300 PM to 1100 PM (evening shift), or 11:00 PM to 7:00 AM graveyard shift), may be a factor During the last year, 400 accidents have occurred. The percentages of the accidents for the condition combinations are shown in the accompanying table Complete parts (a) through (d) below Click the icon to view the data on accidents (a) If an accident report is selected randomly from the 400 reports, what is the probability that the accident occurred on the evening shit? (Type an integer or a decimal. Do not round) y (b) if an accident report is selected randomly from the 400 reports, what is the probability that the accident occurred due to human error? ning eyar Type an integer or a decimal. Do not found) (c) an accident report is selected randomly from the 400 reports, what is the probability that the accident occurred due to unsate conditions ? probal (Type an integer or a decimal Do not round) (d) If an accident report is selected randomly from the 400 reports, what is the probability that the accident occurred on either the evening or the graveyard shit? on the (Type an integer or a decimal Do not round) Factory Accidents - X Stal The ad Carta The prob Unsafe Conditions Day Evening Graveyard Human Error 33% 25% 315 6% 2% se the pe ccurred d Enter your answer in each of the answer boxes Print Done

Answer 1

Coorkers are practice'- Sokerion: encourage Factory Required information is given by conslanily Hamas shif antale Conditions Error 10.33 3336 Bil. =(0.03 951. = 10.051 Day Evening Gravegard 6-1=10.06 2.1.3 311, 510.31 = 10:02 Calculate :- @ If an accident reports is selected is randomly from ther- We have to obtained probability that the accident occaired on the evening Ghiftits, Efers probability is PE Elasing (shift) = (0.06+0.05) 0.31 Therefore, ils 0. 31 Rezuired probability o what is the probability that occured due to human Error: probability that occured due to human he have to obtained the Error io,

Here, ->probability is prehuman Error] =10.63+20.053+00.31) - to - 89] Therefore, Pescuired probability is 10.69 © CL an accident report, cohar is the accident occured due to: that the accidoost occared her have to oblained the probability due to cintate conditions is Efere >pmbability is ptain Gate Conditio)=60-03 +0.06+0.00) =[o.u Therefore, Rexcired probability iG Co.uſ Dat an accident report, cohat if the probability that the me hale to obtained the probability that the accident occured on either. ellening 0 graded Chift is due to Eler,

3 is -> probability is Plevening or graveyed to.06+0.05+0.00+0.81] Chif) EL0.64 ] Therefore, is 0.64 Rezculed probability