Answer:
Option B - 65%
Step-by-step explanation:
Given : Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.65.
To find : What is the probability of someone's height being anywhere from 60 inches to 70 inches?
Solution :
The probability percentage of a curve is defined as the area under the density curve as
[tex]P=\int\limits^a_b {e^{f(x)}} \, dx =A[/tex]
The area under the density curve from 60 inches to 70 inches is 0.65.
So,The probability is equal to the area = 0.65
Therefore, The probability of someone's height being anywhere from 60 inches to 70 inches is 65%.
Hence, Option B is correct.
Answer:
Option B 65%
Step-by-step explanation:
Given that the x-axis of a density graph represents someone's height in inches
This mean the probability distribution curve of heights i.e. X is given as the graph.
Area under two values of x of a probability density curve = probability that x lies between these two values
Using the above since given that the area under the density curve from 60 inches to 70 inches is 0.65 we get that
P(60<x<70) = 0.65
Converted into percent this equals 65%
Hence optionB
