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It has been estimated that only about 20% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. Part (a) In words, define the Random Variable X. the number of earthquakes in California in a year O the number of residents in California who have experienced an earthquake the number of California residents surveyed until a resident who does have adequate earthquake supplies is found O the number of California residents surveyed until a resident who does not have adequate earthquake supplies is found Correct! This is a numerical measure of the outcome of the survey. Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 20 OX= 0, 1, 2, ... OX 1, 2, 3, ... OX=1, 2, 3, ..., 100 > Part (c) Give the distribution of X. X G 0.8 Part (d) What is the probability that we must survey just 1 or 2 residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (e) What is the probability that we must survey at least 3 California residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (f) How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)

It has been estimated that only about 20% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. Part (a) In words, define the Random Variable X. the number of earthquakes in California in a year O the number of residents in California who have experienced an earthquake the number of California residents surveyed until a resident who does have adequate earthquake supplies is found O the number of California residents surveyed until a resident who does not have adequate earthquake supplies is found Correct! This is a numerical measure of the outcome of the survey. Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 20 OX= 0, 1, 2, ... OX 1, 2, 3, ... OX=1, 2, 3, ..., 100 > Part (c) Give the distribution of X. X G 0.8 Part (d) What is the probability that we must survey just 1 or 2 residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (e) What is the probability that we must survey at least 3 California residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (f) How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)

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
Section10.4: Distributions Of Data
Problem 19PFA
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It has been estimated that only about 20% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. Part (a) In words, define the Random Variable X. the number of earthquakes in California in a year O the number of residents in California who have experienced an earthquake the number of California residents surveyed until a resident who does have adequate earthquake supplies is found O the number of California residents surveyed until a resident who does not have adequate earthquake supplies is found Correct! This is a numerical measure of the outcome of the survey. Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 20 OX= 0, 1, 2, ... OX 1, 2, 3, ... OX=1, 2, 3, ..., 100 > Part (c) Give the distribution of X. X G 0.8 Part (d) What is the probability that we must survey just 1 or 2 residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (e) What is the probability that we must survey at least 3 California residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (f) How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)
Transcribed Image Text:It has been estimated that only about 20% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. Part (a) In words, define the Random Variable X. the number of earthquakes in California in a year O the number of residents in California who have experienced an earthquake the number of California residents surveyed until a resident who does have adequate earthquake supplies is found O the number of California residents surveyed until a resident who does not have adequate earthquake supplies is found Correct! This is a numerical measure of the outcome of the survey. Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 20 OX= 0, 1, 2, ... OX 1, 2, 3, ... OX=1, 2, 3, ..., 100 > Part (c) Give the distribution of X. X G 0.8 Part (d) What is the probability that we must survey just 1 or 2 residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (e) What is the probability that we must survey at least 3 California residents until we find a California resident who does not have adequate earthquake supplies? (Round your answer to four decimal places.) Part (f) How many California residents do you expect to need to survey until you find a California resident who does not have adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)
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