To find the probability that a normally distributed random variable with mean 17 and standard deviation 4.5 is between 0 and 20, we can use the Normal CDF function on the calculator.
Given:
Lower bound (a) = 0
Upper bound (b) = 20
Mean (μ) = 17
Standard deviation (σ) = 4.5
The formula for Normal CDF is:
\text{normalcdf}(a, b, \mu, \sigma) = P(a
Substitute the given values into the formula:
\text{normalcdf}(0, 20, 17, 4.5) = P(0
Therefore, the probability that the random variable is between 0 and 20 is the output of the normalcdf function which can be computed as:
\text{normalcdf}(0,20,17,4.5)\approx\boxed{0.7474}