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Sagot :
The expected value or mean of binomial distribution is also increased by increasing the number of trials.
The standard deviation of binomial distribution is also increased by increasing the number of trials.
According to the question
There is binomial experiment.
The condition given in the question is 'if the number of trials is increased, what happens to the expected value and to the standard deviation'.
We all know,
In binomial distribution, The mean or expected value is given by np whereas the variance is given by np(1 - p) where (1 - p) taken as q is the probability of failure and p is the probability of success.
The standard deviation of binomial distribution is [tex]\sqrt{npq}[/tex].
From the expected value formula we can see that number number of trials is directly proportional to mean or expected value.
Thus we can say that
If the number of trials is increasing, then the expected value is also increasing.
From the standard deviation of binomial distribution we can see that if the number of trials increasing then the standard deviation also increasing because standard deviation is directly proportional to number of trials.
Find out more information about binomial distribution here
https://brainly.com/question/24179465
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