Of the students living in the dormitories at a university, 67% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 21% of those at the west hall, and to 18% of those living at the south tower. Let D be the event that the person receive a coupon, E, be the event that the person is living in the west hall, and E₂ be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen. Complete parts (a) through (c) below. a. Find the probability that this person received a coupon. Write an expression that models the probability. Choose the correct answer below. OA. P (DIE₁) P (E₁) OB. P (DIE₁) P (E₁) +P (DIE₂) P (E₂) OC. P(E₁1D) P(D) +P (E₂ID) •P(D) OD. (P (DIE₁) +P (E₁)) • (P (DIE₂) +P (E2)) The probability is (Do not round until the final answer. Then round to three decimal places as needed.) b. Find the probability that this person is from the west hall, given that this person received the coupon. Write an expression that models the probability. Choose the correct answer below. OA. P (DIE₂)*P(E₂) P (DIE1)*P(E₁) +P (DIE2) *P(E2) P (DIE₁)*P(E₁) O C. P (DIE₁) P(E₁) +P (DIE₂) *P(E₂) OB. O D. P(E₂ID).P(D) P(E₁ID) P(D)+P (E₂1D) .P(D) P(E, ID) • P(D) P(E₁ID) P(D)+P (E₂ID) .P(D) Say Question Viewer
Of the students living in the dormitories at a university, 67% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 21% of those at the west hall, and to 18% of those living at the south tower. Let D be the event that the person receive a coupon, E, be the event that the person is living in the west hall, and E₂ be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen. Complete parts (a) through (c) below. a. Find the probability that this person received a coupon. Write an expression that models the probability. Choose the correct answer below. OA. P (DIE₁) P (E₁) OB. P (DIE₁) P (E₁) +P (DIE₂) P (E₂) OC. P(E₁1D) P(D) +P (E₂ID) •P(D) OD. (P (DIE₁) +P (E₁)) • (P (DIE₂) +P (E2)) The probability is (Do not round until the final answer. Then round to three decimal places as needed.) b. Find the probability that this person is from the west hall, given that this person received the coupon. Write an expression that models the probability. Choose the correct answer below. OA. P (DIE₂)*P(E₂) P (DIE1)*P(E₁) +P (DIE2) *P(E2) P (DIE₁)*P(E₁) O C. P (DIE₁) P(E₁) +P (DIE₂) *P(E₂) OB. O D. P(E₂ID).P(D) P(E₁ID) P(D)+P (E₂1D) .P(D) P(E, ID) • P(D) P(E₁ID) P(D)+P (E₂ID) .P(D) Say Question Viewer
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Transcribed Image Text:Of the students living in the dormitories at a university, 67% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 21% of those at
the west hall, and to 18% of those living at the south tower. Let D be the event that the person receive a coupon, E, be the event that the person is living in the west hall, and E₂ be the event that
the person is living in the south tower. A student living in a dormitory is randomly chosen. Complete parts (a) through (c) below.
a. Find the probability that this person received a coupon.
Write an expression that models the probability. Choose the correct answer below.
OA. P (DIE₁) P(E₁)
OB. P (DIE₁)
OC. P(E₁1D) P(D) +P (E₂ID) •P(D)
OD. (P (DIE₁) +P (E₁)) • (P (DIE₂) +P (E2))
P (E₁) +P (DIE₂) P (E₂)
The probability is
(Do not round until the final answer. Then round to three decimal places as needed.)
b. Find the probability that this person is from the west hall, given that this person received the coupon.
Write an expression that models the probability. Choose the correct answer below.
OA.
P (DIE₂)*P(E₂)
P (DIE₁)*P(E₁) +P (DIE2) *P(E2)
P (DIE₁)*P(E₁)
O C. P (DIE₁) P(E₁) +P (DIE₂) *P(E₂)
OB.
O D.
P(E₂ID).P(D)
P(E₁ID) P(D)+P (E₂ID) .P(D)
P(E₁ID) • P(D)
P(E₁ID) P(D)+P (E₂ID) .P(D)
day
Question Viewer
Transcribed Image Text:O A.
O C.
P (DIE1) P (E₁) +P (DIE2) *P(E2)
P (DIE₁)
P (DIE₁) P (E₁)
P (E₁) +P (DI-2)*P(E₂)
OB.
The probability is
(Do not round until the final answer. Then round to three decimal places as needed.)
O D.
P(E₁1
P(E₁15
The probability is
(Do not round until the final answer. Then round to three decimal places as needed.)
c. Find the probability that this person is from the south tower, given that this person did not receive the coupon.
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