The likelihood that a randomly chosen adult from the United States has a vitamin d level lower than 25 is 0 despite the fact that many health authorities disagree and say that a vitamin d level of 30 is sufficient for sustaining one's health. Option (b) 0.2023 is corrcet.
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
Here mean = 30
standard deviation = 6
X = 25
The probability is lower than 25
So, P(X ≤ 25 ) = P{ ((x-30)/6) < ((25-30)/6)}
P(X ≤ 25 ) = P{ Z < ((25-30)/6)}
P(X ≤ 25 ) = P{ Z < (-0.83)} = 0.2023
To learn more about probability visit : brainly.com/question/13604758
#SPJ4
Correct Question:
While there is much debate, several health authorities have concluded that a vitamin d level of 30 is adequate for maintaining one's health. suppose this is the mean vitamin d level for adults in the united states. what is the probability that a randomly selected adult from the united states has a vitamin d level lower than 25? suppose the standard deviation is 6 and that the vitamin d levels for adults in the united states follow a normal distribution.
a. 0.0000
b. 0.2023
c. none of these
d. 0.3812
e. cannot be solved since the sampling distribution cannot be established.
