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t has been estimated that only about15%of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must

t has been estimated that only about15%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 doesnothave adequate earthquake supplies.

  • Part (a)In words, define the Random VariableX.

the number of California residents surveyed until a resident who does have adequate earthquake supplies is foundthe number of residents in California who have experienced an earthquake the number of California residents surveyed until a resident who does not have adequate earthquake supplies is foundthe number of earthquakes in California in a year

  • Correct! This is a numerical measure of the outcome of the survey.

  • Part (b)List the values thatXmay take on.

X= 0, 1, 2, ...X= 1, 2, 3, ..., 15 X= 1, 2, 3, ...X= 1, 2, 3, ..., 100

  • Part (c)Give the distribution ofX. X~

  • Part (d)What is the probability that we must survey just1or2residents 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 least4California 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 whodoes nothave adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)

  • Part (g)How many California residents do you expect to need to survey until you find a California resident whodoeshave adequate earthquake supplies? (Round your answer to the nearest whole number.) resident(s)

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