For the graph shown above, find the given probability.
Use the Empirical Rule (68-95-99.7) and do not round any answers.
a. $P(X< 35)$ :
b. $P(35< X< 67)$ :
c. $P(X> 67)$ :

Answer

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Answer

So, the final answers are: a. $P(X<35)$ : $\boxed{16\%}$, b. $P(35<X<67)$ : $\boxed{68\%}$, c. $P(X>67)$ : $\boxed{16\%}$

Steps

Step 1 ：Given that the mean (μ) is 50 and the standard deviation (σ) is 15, we can use the Empirical Rule to find the probabilities.

Step 2 ：For a. $P(X<35)$, since 35 is one standard deviation below the mean, the probability is approximately 16% (100% - 68% / 2).

Step 3 ：For b. $P(35

Step 4 ：For c. $P(X>67)$, since 67 is one standard deviation above the mean, the probability is approximately 16% (100% - 68% / 2).

Step 5 ：So, the final answers are: a. $P(X<35)$ : $\boxed{16\%}$, b. $P(3567)$ : $\boxed{16\%}$