Question
Suppose that a recent poll found that
of adults believe that the overall state of moral values is poor. Complete
parts (a) through ©.
(a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable
, the number of
adults who believe that the overall state of moral values is poor.
The mean of
is
. (Round to the nearest whole number as needed.)
parts (a) through ©.
(a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable
adults who believe that the overall state of moral values is poor.
The mean of
Ask by Mccarthy Henry. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The mean of
is
.
Solution

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To find the mean of the random variable
, you can use the formula for the mean of a binomial distribution, which is given by
, where
is the number of trials (in this case, 200 adults) and
is the probability of success (51% or 0.51).
So, the mean
.
Next, to compute the standard deviation of
, you use the formula for the standard deviation of a binomial distribution, which is
.
Thus,
.
Therefore, the mean of
is
and the standard deviation is approximately
when rounded to the nearest whole number.