Respuesta :
Answer:
16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.
Step-by-step explanation:
The 68-95-99.7 rule states that:
68% of the measures of a normally distributed sample are within 1 standard deviation of the mean. 34% of them above, 34% of them below.
What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Of the 50% of the measures that are above the mean, 34% are within 1 standard deviation. So 50-34 = 16% are 1 or more standard deviations above the mean.
16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.
Let X represent the LDL levels.
68% of the measures of a normally distributed sample are within 1 standard deviation of the mean. 34% of the above, 34% of them below.
What is the standard deviation?
A quantity is expressed by how much the members of a group differ from the mean value for the group.
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]\rm P(X\geq \mu+\sigma) = P(X\geq 123+41) = P(X\geq 164)\\\\P\left (\dfrac{X-\mu}{\sigma}\geq \dfrac{164-123}{41} \right )\\\\=P(Z>1)\\\\= 1-P(Z>1)\\\\=1-0.84\\\\=0.16\\\\= 16 \ percent[/tex]
Hence, 16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.
To know more about Standard deviation click the link given below.
https://brainly.com/question/14720855
