Suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x less than or equal to 92)? a. 0.84 b. 0.16 c. 0.025 d. 0.975

The empirical rule states that approximately 68% of a normal distribution falls within one standard deviation of the mean, or . This means, by symmetry of the distribution, that

Now, since the distribution is symmetric about the mean, you have .

So,



More precisely, this probability is around .