Question

I need the answer for this problem please

Answer 1

B

Explanation:

Find all probabilities:

A. False

`Pr(\text{red shirt}|\text{large shirt})=\frac{\text{number red large shirts}}{\text{number large shirts}}=(42)/(77)=(6)/(11)\\ \\Pr(\text{large shirt})=\frac{\text{number large shirts}}{\text{number shirts}}=(77)/(165)=(7)/(15)`

B. True

`Pr(\text{blue shirt}|\text{large shirt})=\frac{\text{number blue large shirts}}{\text{number large shirts}}=(35)/(77)=(5)/(11)\\ \\Pr(\text{blue shirt})=\frac{\text{number blue shirts}}{\text{number shirts}}=(75)/(165)=(5)/(11)`

C. False

`Pr(\text{shirt is medium and blue})=\frac{\text{number medium and blue shirts}}{\text{number shirts}}=(48)/(165)=(16)/(55)\\ \\Pr(\text{medium shirt})=\frac{\text{number medium shirts}}{\text{number shirts}}=(88)/(165)=(8)/(15)`

D. False

`Pr(\text{large shirt}|\text{red shirt})=\frac{\text{number red large shirts}}{\text{number red shirts}}=(42)/(90)=(7)/(15)\\ \\Pr(\text{red shirt})=\frac{\text{number red shirts}}{\text{number shirts}}=(90)/(165)=(6)/(11)`