tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically…

tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of containing the same. if 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns?\na. 270,675\nb. 538,650\nc. 541,350\nd. 269,325\nplease select the best answer from the choices provided\na\nb\nc\nd

tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of containing the same. if 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns?\na. 270,675\nb. 538,650\nc. 541,350\nd. 269,325\nplease select the best answer from the choices provided\na\nb\nc\nd

Answer

Explanation:

Step1: Calculate number of manual errors

Number of manual - filed returns is $2.7\times10^{6}$. Error rate is $20%=0.2$. So number of errors in manual - filed returns is $2.7\times10^{6}\times0.2 = 540000$.

Step2: Calculate number of electronic errors

Number of electronically - filed returns is $2.7\times10^{6}$. Error rate is $0.05% = 0.0005$. So number of errors in electronically - filed returns is $2.7\times10^{6}\times0.0005=1350$.

Step3: Calculate the difference

Difference = Number of manual errors - Number of electronic errors. So $540000 - 1350=538650$.

Answer:

B. 538,650