Answer:
a. P(24)=0.00007
b. P(23)=0.00018
c. There is significant difference between the probability of the rainy days and the probabilities of fire and theft.
The probability of theft would be overestimated by 76% and the probability of fire would be subestimated by 27%.
Step-by-step explanation:
The probabilities of two events ("fire"and "theft") are compared to the probabilities of a certain number of days of rain during July.
The probabilities of "fire"and "theft" are around P=0.0001, and we need to calculate if the probability of exactly 23 and exactly 24 days of rain July have approximately the same probability.
Rain frequencies for the months of July and August were shown to follow a Poisson distribution with a mean of 10 days per month.
The parameter then is:
The probability of k days of rain is:
For 24 days, the probability is:
The probability of 23 days of rain is 27% less than P=0.0001.
For 23 days of rain, the probability is:
The probability of 23 days of rain is 76% more than P=0.0001.
There is significant difference between the probability of the rainy days and the probabilities of fire and theft.
The probability of theft would be overestimated by 76% and the probability of fire would be subestimated by 27%.
If the weight of the bottom box is b then the weight of a stack of four boxes is b + b/2 + b/4 + b/8
= 8b/8 + 4b/8 + 2b/8 + 1b/8
= 15/8 b
A stack must weigh less than 100 pounds
15/8 b < 100
b < 100 x 8/15 = 53 1/3 pounds
If boxes have a minimum weight of 1 pound then
for stacks that contain 4 boxes the range of b is [8, 53 1/3)
and if stacks contain 1 to 4 boxes the range of b is [1, 53 1/3)
If the only restriction is a maximum of 100 then the range of b is [0, 53 1/3)
1/12+2/3=1/12+8/12=9/12.=>9.12*0.6=0.75*0.6=0.45
Is how I would answer it :)
Answer:
true
Step-by-step explanation:
5x-8=37
5(9)-8=37
45-8=37
37=37
Answer:
c.
Step-by-step explanation:
we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.
59 is much closer to 60 than to 50.
42 is much closer to 40 than to 50.
of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.
and the sum of the differences of the factors should be as close to 0 as possible.
so, 60×40 is the closest and therefore best estimation.
the sum of the factor differences is (+1 - 2) = -1.
compare to the real result :
59×42 = 2,478
answer a and b are by the way not correct :
50×40 = 2000 (and not 2500)
60×50 = 3000 (and not 3500)
FYI - in this case 50×50 = 2500 would be the closest estimation.
and the sum of the factor differences would be (-9 + 8) = -1.
normally, this wide "jumping" (-9 to +8) would make it only second choice.