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A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 27%. We are interested in the number of dealerships she must call. Part (a) In words, define the Random Variable X. ○ the number of used red Miatas that a dealership carries O the number of dealerships the consumer must call until she finds a used red Miata all car dealerships in one town O the cost of a used red Miata Correct! This is a numerical measure of the outcome of the study. Part (b) List the values that X may take on. OX= 0, 1, 2, ... OX 1, 2, 3, ..., 26, 27 OX= 1, 2, 3, ... OX 1, 2, 3, ..., 98, 99, 100 Part (c) Give the distribution of X. X G 0.27 Part (d) On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.) dealerships 4 □ Part (e) Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)

A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 27%. We are interested in the number of dealerships she must call. Part (a) In words, define the Random Variable X. ○ the number of used red Miatas that a dealership carries O the number of dealerships the consumer must call until she finds a used red Miata all car dealerships in one town O the cost of a used red Miata Correct! This is a numerical measure of the outcome of the study. Part (b) List the values that X may take on. OX= 0, 1, 2, ... OX 1, 2, 3, ..., 26, 27 OX= 1, 2, 3, ... OX 1, 2, 3, ..., 98, 99, 100 Part (c) Give the distribution of X. X G 0.27 Part (d) On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.) dealerships 4 □ Part (e) Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 27%. We are interested in the number of dealerships she must call. Part (a) In words, define the Random Variable X. ○ the number of used red Miatas that a dealership carries O the number of dealerships the consumer must call until she finds a used red Miata all car dealerships in one town O the cost of a used red Miata Correct! This is a numerical measure of the outcome of the study. Part (b) List the values that X may take on. OX= 0, 1, 2, ... OX 1, 2, 3, ..., 26, 27 OX= 1, 2, 3, ... OX 1, 2, 3, ..., 98, 99, 100 Part (c) Give the distribution of X. X G 0.27 Part (d) On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.) dealerships 4 □ Part (e) Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)
Transcribed Image Text:A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 27%. We are interested in the number of dealerships she must call. Part (a) In words, define the Random Variable X. ○ the number of used red Miatas that a dealership carries O the number of dealerships the consumer must call until she finds a used red Miata all car dealerships in one town O the cost of a used red Miata Correct! This is a numerical measure of the outcome of the study. Part (b) List the values that X may take on. OX= 0, 1, 2, ... OX 1, 2, 3, ..., 26, 27 OX= 1, 2, 3, ... OX 1, 2, 3, ..., 98, 99, 100 Part (c) Give the distribution of X. X G 0.27 Part (d) On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.) dealerships 4 □ Part (e) Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)
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