The probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2, and the probability of a summe
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Answer:
<em>statements 3 and 4 are correct.</em>
Step-by-step explanation:
(1)
The probability of choosing cured pasta and bear= probability that the card is king.
Hence, The probability of choosing cured pasta and bear=
Probability of choosing baked cucumber and lime mutton=probability that the card is 3.
as there are 4 cards that are '3'.
Hence Probability of choosing baked cucumber and lime mutton=
as both the probabilities are equal.
Hence statement 1 is incorrect.
(2)
The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.
as there are 4 cards which are ace out of 52 cards.
Hence, The probability of choosing gooseberry & passion fruit cheesecake=
probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.
Hence statement 2 is false.
(3)
The probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.
As there are 12 face cards out of 52 cards.
Hence, probability of choosing poached fennel & lemon alligator=
Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.
Hence statement 3 is correct.
(4)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.
As there are 26 red cards out of 52 cards.
Hence, probability of choosing an oven-baked apple & lavender calzone=
Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.
Hence statement 4 is true.
(5)
The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.
As there are 26 red cards out of 52 cards.
Hence,
The probability of choosing pressure-cooked mushroom & garlic chicken =
the probability of choosing a praline wafer=probability that the card is a diamond.
as there are 13 diamond cards out of 52 cards.
The probability of choosing a praline wafer=
Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.
Hence, statement 5 is not correct.
Answer:
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error for this case is given by:
And replacing we got:
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4941;0.5459).
Step-by-step explanation:
Data given and notation
n=1000 represent the random sample taken
estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage
represent the significance level (no given, but is assumed)
Solution to the problem
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error for this case is given by:
And replacing we got:
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4941;0.5459).