Answered

Find the best answers to your questions with the help of IDNLearn.com's expert contributors. Our community is here to provide detailed and trustworthy answers to any questions you may have.

Of the students living in the dormitories at aa€‹ university, 65% live at the westa€‹ hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 24% of those at the westa€‹ hall, and to 19% of those living at the south tower. Let D be the event that the person receive a coupon, E1 be the event that the person is living in the westa€‹ hall, and E2 be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen.

Required:
Find the probability that this person received a coupon. Also write an expression that models the probability.

Sagot :

Answer:

The answer is "Option A".

Step-by-step explanation:

Dormitory students.

Please find the complete question in the attched file.

[tex]p (E_1) =0.73[/tex]indicates that teachers live in the west hall.

[tex]p (E_2) =0.27[/tex] indicates that the students live in the south tower.

[tex]P (D|E_1) =0.25[/tex] describes the likelihood which West Hall students received free coupons.

[tex]P (D|E_2) =0.19[/tex] indicates that students in the south tower were given free coupons.

[tex]P(D)=P(D|E_1)P(E_1)+P(D|E_2)P(E_2)\\\\=0.25 \times 0.73 +0.19 \times 0.27\\\\=0.234[/tex]

To maximize the probability that the person selected at random will receive the coupon, multiply the following numbers by the possibility of success of the coupon:

View image Codiepienagoya
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.