The physical education instructor asked each student to do a total of 36 pull-ups and push-ups in 1 minute. The instructor wante
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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.
Answer:
The number of detective widgets out of 22,000 widgets is 828 widgets
Step-by-step explanation:
Given as :
The total number of widgets = 850
The number of detective widgets out of 850 = 32
Now,
∵ Out of 850 widgets , the number of detective widgets = 32
SO,Out of 1 widgets , the number of detective widgets =
∴ Out of 22,000 widgets , the number of detective widgets = × 22,000
Or, Out of 22,000 widgets , the number of detective widgets = 828.23
Hence, The number of detective widgets out of 22,000 widgets is 828 widgets Answer