1. For
answer the following questions.
2. When throwing one dice three times, the number of times a 1 is rolled is .Then
3. Find the probability of the followings using Bernoulli's theorem.
(1)
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For ,
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2.
a Let be the number of times 1 is rolled. Then
c Standardization of means changing the mean
to 0 and the distribution
to 1. Then
3
a Bernoulli's theorem is when the number of trials is , the number of event occurrences is
, and the probability of event occurrence is
. Then
c The problem is to find the probability that the bias of the number of event occurrences is within 50 when the number of trials is 2000. In other words, find the probability that the error between the percentage of heads appearing in 2000 times
and the theoretical probability
is
. Then using Bernoulli's theorem,
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