Pregunta
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 350 randomly selected adults, compute the mean and standard deviation of the random variable X , the number of adults who believe that the overall state of moral values is por
The mean of X is
. (Round to the nearest whole number as needed.)
(a) For 350 randomly selected adults, compute the mean and standard deviation of the random variable X , the number of adults who believe that the overall state of moral values is por
The mean of X is
Ask by Marshall Mccoy. in the United States
Mar 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The mean of
is 161.
Solución
Let
and
.
- The mean of a binomial distribution is given by:
- Substitute the given values:
The mean of
is
.
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Como
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Extra Insights
To find the mean (
) and standard deviation (
) of the random variable
, which represents the number of adults who believe the overall state of moral values is poor, we can use the formulas for a binomial distribution.
First, let’s compute the mean:
where
is the number of trials (in this case,
) and
is the probability of success (in this case,
).
Calculating:
Now, let’s compute the standard deviation:
Calculating:
So rounding to the nearest whole number, the mean of
is
and the standard deviation is about
.

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