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, what is the probability of someone's height being anywhere from 60 inches to 70 inches? A. 75% B. 65% C. 60% D. 70%

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

\(P=\int\limits^a_b {e^{f(x)}} \, dx =A\)

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.

AlonsoDehner AlonsoDehner · Answer 2 · 2019-04-03T06:49:08-04:00

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