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30 Oct 2012, 07:56
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D
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p is the probability of snow fall on any given day in the first week of December. If snow fall on one day does not affect the probability of snow fall on any other day, what is the value of p?
(1) The probability that snow will fall on at least one day during the first week of December is .918.
(2) The probability that snow will fall every day during this week is .00022
(1) The probability that snow will fall on at least one day during the first week of December is .918.
(2) The probability that snow will fall every day during this week is .00022
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30 Oct 2012, 09:15
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p is the probability of snow fall on any given day in the first week of December. If snow fall on one day does not affect the probability of snow fall on any other day, what is the value of p?
(1) The probability that snow will fall on at least one day during the first week of December is .918 --> 0.918=1-P(not snowing on ANY day)=1-(1-p)^7 --> (1-p)^7=0.082 --> we can find the single numerical value of p. Sufficient.
(2) The probability that snow will fall every day during this week is .00022 --> p^7=0.00022 --> we can find the single numerical value of p. Sufficient.
Answer: D.
Hope it's clear.
(1) The probability that snow will fall on at least one day during the first week of December is .918 --> 0.918=1-P(not snowing on ANY day)=1-(1-p)^7 --> (1-p)^7=0.082 --> we can find the single numerical value of p. Sufficient.
(2) The probability that snow will fall every day during this week is .00022 --> p^7=0.00022 --> we can find the single numerical value of p. Sufficient.
Answer: D.
Hope it's clear.
30 Oct 2012, 09:16
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sanjoo
p is the probability of snow fall on any given day in the first week of December. If snow fall on one day does not affect the probability of snow fall on any other day, what is the value of p?
(1) The probability that snow will fall on at least one day during the first week of December is .918.
(2) The probability that snow will fall every day during this week is .00022
(1) The probability that snow will fall on at least one day during the first week of December is .918.
(2) The probability that snow will fall every day during this week is .00022
Statement 1: probability of snow fall on atleast one day =0.918
=> probability of no snow fall in entire week = 1-0.918
=> since snow fall on one day doesnt affect probability on another day, if probability of no snow fall on a day is q, then q^7 = 1-0.918
this would give q and p =1-q
Hence we can find p. Sufficient
Statement 2: probability of snow fall on every day = p^7 =0.00022
this would give p
Hence sufficient.
Ans D it is.
