Answer:
0.68
Step-by-step explanation:
Given :
Mean = 67
Standard deviation = 17
Probability that X is between 50 and 84
According to the empirical rule :
1 standard deviation from the mean = 68%
2 standard deviations from the mean = 95%
3 standard deviations from the mean = 99.7%
Evaluating the number of standard deviations from the mean:
50 = 67 - 17 = 1 standard deviation
84 = 67 + 17 = 1 standard deviation
Hence ;
50 < X < 84 is 1 standard deviation from the mean which is 68%
Hence, Probability that x is between 50 and 84 is 0.68
