Question list Question 25 Question 26 Question 27 Question 28 Question 29 Question 30 Question 31 Question 32 Question 33 Question 34 K of the students living in the dormitories at a university, 61% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 27% of those at the west hall, and to 17% of those living at the south tower. Let D be the event th 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 (DIE,) +P(E₁)). (P (DIE₂) +P(E₂)) OB. P (DIE) P(E₁) +P (DIE₂) • P(E₂) OC. P(E, ID) P(D) + P(E₂ID) .P(D) OD. P (DIE,) .P(E₁) 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(E, ID)-P(D) P(E, ID) P(D) P(E₂ID) .P(D) P(DIE₂2) *P(E₂) OC. 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.) c. Find the probability that this person is from the south tower, given that this person did not receive the coupon. The probability is (Do not round until the final answer. Then round to three decimal places as needed) OB. P(DIE).P(E₁) P (DIE₁) *P(E₁) +P (DIE₂) .P (E₂) P(E₂ID).P(D) OD. P(E,ID) .P(D) + P(E₂ID) +P(D)
Question list Question 25 Question 26 Question 27 Question 28 Question 29 Question 30 Question 31 Question 32 Question 33 Question 34 K of the students living in the dormitories at a university, 61% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 27% of those at the west hall, and to 17% of those living at the south tower. Let D be the event th 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 (DIE,) +P(E₁)). (P (DIE₂) +P(E₂)) OB. P (DIE) P(E₁) +P (DIE₂) • P(E₂) OC. P(E, ID) P(D) + P(E₂ID) .P(D) OD. P (DIE,) .P(E₁) 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(E, ID)-P(D) P(E, ID) P(D) P(E₂ID) .P(D) P(DIE₂2) *P(E₂) OC. 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.) c. Find the probability that this person is from the south tower, given that this person did not receive the coupon. The probability is (Do not round until the final answer. Then round to three decimal places as needed) OB. P(DIE).P(E₁) P (DIE₁) *P(E₁) +P (DIE₂) .P (E₂) P(E₂ID).P(D) OD. P(E,ID) .P(D) + P(E₂ID) +P(D)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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O Question 25
O Question 26
O Question 27
Question 28
O Question 29
O Question 30
O Question 31
O Question 32
Question 33
Question 34
K
Of the students living in the dormitories at a university, 61% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 27% of those at the west hall, and to 17% 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)) • (P (DIE₂) + P(E₂))
O B. P (DIE₁) P (E₁) +P (DIE₂) *P(E₂)
OC. P(E₁ID) •P(D)+P (E₂ID) •P(D)
O D. P (DIE₁) .P (E₁)
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.
O A.
O C.
P(E, ID) •P(D)
P(E₁ID) •P(D) + P(E₂ID) .P(D)
P (DIE₂) *P(E₂)
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.)
c. Find the probability that this person is from the south tower, given that this person did not receive the coupon.
The probability is
(Do not round until the final answer. Then round to three decimal places as needed.)
C
O B.
O D.
P (DIE₁).P(E₁)
P (DIE₁)*P(E₁) +P (DIE₂) .P (E₂)
P(E₂ID) •P(D)
P(E₁ID) P(D) +P (E₂ID) .P(D)
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