Question
In: Statistics and Probability
A study by the U.S. Energy Information Administration found that 25% of households have an income...
A study by the U.S. Energy Information Administration found that 25% of households have an income under $10, 000 of which 84.3% did not own a dishwasher. However, it was found that only 21.8% of those in the over $10, 000 income range did not own a dishwasher. Find the following:
(Note: round the answers to 2 decimal places)
i) If one household is randomly selected from each income group, determine the probability that both households will own a dishwasher?
ii) If one household is randomly selected from the entire group, what is the probability that they own a dishwasher and have an income over $10, 000?
iii) If one household is randomly selected from the entire group, what is the probability that they own a dishwasher?
iv) If one household is randomly selected from the entire group, what is the probability that they either own a dishwasher or have an income over $10, 000?
v) If one household is randomly selected from the entire group and was found to have dishwasher, what is the probability that they have an income over $10, 000?
vi) Are the events ‘Owing a dishwasher’ and ‘having an income over $10, 000' independent? (Insert either YES or NO as your answer)
Solutions
orchestra answered 1 year agoRelated Solutions
In a study of vehicle ownership, it has been found that 30% of U.S. households do...
In a study of vehicle ownership, it has been found that 30% of
U.S. households do not own a vehicle, with 46% owning 1 vehicle,
and the remaining owning 2 or more vehicles. The data for a random
sample of 192 households in a resort community are as follows: 57
owned 0 vehicles, 104 owned 1 vehicle, and the remaining owned 2 or
more vehicles. When testing (at the 5% level of significance)
whether the vehicle-ownership distribution in this community...
1. In a study of vehicle ownership, it has been found that 30% of U.S. households...
1. In a study of vehicle ownership, it has been found that 30%
of U.S. households do not own a vehicle, with 46% owning 1 vehicle,
and the remaining owning 2 or more vehicles. The data for a random
sample of 192 households in a resort community are as
follows:
57 owned 0 vehicles, 104 owned 1 vehicle, and the remaining owned 2
or more vehicles.
When testing (at the 5% level of significance) whether the
vehicle-ownership distribution in this...
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The U.S. Energy Information Administration (US EIA) reported
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The US EIA updates its estimates of average gas prices on a weekly
basis. Assume the standard deviation is $.24 for the price of a
gallon of regular gasoline and recommend the appropriate sample
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following margins of error at 95% confidence. Round up to the...
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of...
The U.S. Energy Information Administration (US EIA) reported
that the average price for a gallon of regular gasoline is
$3.95. The US EIA updates its estimates of average
gas prices on a weekly basis. Assume the standard deviation is
$.24 for the price of a gallon of regular gasoline
and recommend the appropriate sample size for the US EIA to use if
they wish to report each of the following margins of error at
95% confidence. Round up to the...
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of...
The U.S. Energy Information Administration (US EIA) reported
that the average price for a gallon of regular gasoline is $2.94.
The US EIA updates its estimates of average gas prices on a weekly
basis. Assume the standard deviation is $0.25 for the price of a
gallon of regular gasoline and recommend the appropriate sample
size for the US EIA to use if they wish to report each of the
following margins of error at 95% confidence. (Round your answers
up...
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of...
The U.S. Energy Information Administration (US EIA) reported
that the average price for a gallon of regular gasoline is $3.95 .
The US EIA updates its estimates of average gas prices on a weekly
basis. Assume the standard deviation is $.24 for the price of a
gallon of regular gasoline and recommend the appropriate sample
size for the US EIA to use if they wish to report each of the
following margins of error at 95%confidence. Round up to the...
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of...
The U.S. Energy Information Administration (US EIA) reported
that the average price for a gallon of regular gasoline is $2.94.
The US EIA updates its estimates of average gas prices on a weekly
basis. Assume the standard deviation is $0.20 for the price of a
gallon of regular gasoline and recommend the appropriate sample
size for the US EIA to use if they wish to report each of the
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1. According to the U.S. Energy Information Administration, the average household expenditure for natural gas was...
1.
According to the U.S. Energy Information Administration, the
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