. Use Desmos to find the area under the normal curve between. a. Between -1 and 1 for mean = 0 and standard deviation = 1. b. Between 56 and 64 for mean = 60 and standard deviation = 4. c. Between 3.4 and 5.8 for mean = 4.1 and standard deviation = 0.7.
The Correct Answer and Explanation is:
To find the area under the normal curve between two values using Desmos, we integrate the normal distribution probability density function (PDF) between the given limits. The general form of the normal PDF is: f(x)=1σ2πe−12(x−μσ)2f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{ -\frac{1}{2} \left( \frac{x – \mu}{\sigma} \right)^2 }f(x)=σ2π
To find the area under the normal curve between two values using Desmos, we integrate the normal distribution probability density function (PDF) between the given limits. The general form of the normal PDF is: f(x)=1σ2πe−12(x−μσ)2f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{ -\frac{1}{2} \left( \frac{x – \mu}{\sigma} \right)^2 }f(x)=σ2π
