A team of astronauts is preparing a mission to the moon. The pull of gravity on the moon is different than on Earth. On the moon
1 answer:
Answer:
Step-by-step explanation:
For this mission, each astronaut will bring
- x pounds of food; and
- y pounds of gear.
Weight of Supplies of One Astronaut on the earth = (x+y) pounds
If the total number of astronauts going on the mission= a
- Total Weight on the earth of the supplies of all the Astronaut
On the moon, things weigh of what they weigh on Earth.
- Total Weight of the supplies of all the Astronaut on the moon
Therefore,the inequality which correctly compares the weight of the supplies on the moon to the weight of the supplies on Earth is:
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Answer:
a) The probability that at least 3 months elapse before the first earthquake of destructive magnitude occurs is P=0.7788
b) The probability that at least 7 months elapsed before the first earthquake of destructive magnitude occurs knowing that 3 months have already elapsed is P=0.7165
Step-by-step explanation:
Tha most appropiate distribution to model the probability of this events is the exponential distribution.
The cumulative distribution function of the exponential distribution is given by:
The destructive earthquakes happen in average once a year. This can be expressed by the parameter λ=1/year.
We can express the probability of having a 3 month period (t=3/12=0.25) without destructive earthquakes as:
Applying the memory-less property of the exponential distribution, in which the past events don't affect the future probabilities, the probability of having at least 7 months (t=0.58) elapsed before the first earthquake given that 3 months have already elapsed, is the same as the probability of having 4 months elapsed before an earthquake.
Hopefully this helps you
