Respuesta :
According to the given statement 16% is the probability that the person is age 48 or older.
How to interpret a standard deviation?
A metric of a data set's deviation from the mean is referred to as "standard deviation" (or ""). While a high standard deviation indicates that the numbers are more spread, a smaller standard deviation suggests that the data are clustered around the mean.
Briefing:
After calculating the z-score, we will look up the value in the table on page (718–719).
We will employ the equation, to determine the z-score.
z= x−μ / σ
How is x=48
μ=41
σ=7 the z-score is,
z = 48 - 47 /7
z = 7 / 7
z = 1
The value for z=1 in the table is 0.84130, meaning that the region below the curve represents people who are 48 years of age and older. However, we are looking at the area that represents people who are 48 years of age and older, hence,
1−0.8413
=0.1587≈0.16
=16%
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The complete question is-
The distribution of ages of licensed drivers shopping at the Kalish County Mall is normally distributed with mean 41 and standard deviation 7. A person will be selected at random. Round your answers to the nearest hundredth. What is the probability that the person is age 48 or older?
