Heights in centimeters of girls at the start of 1st grade are approximately normal with mean 122, standard deviation 5. Based on the z-score for each of the following heights, use the 68-95-99.7 Rule to estimate the probability of being this short or shorter (if below average), or the probability of being this tall or taller (if above average). (Round your answers to two decimal places.) (a) 108 centimeters
z-score =
Probability:
less than 0.0015
between 0.0015 and 0.025
between 0.025 and 0.16
between 0.16 and 0.50
(b) 135 centimeters
z-score =
Probability:
less than 0.0015
between 0.0015 and 0.025
between 0.025 and 0.16
between 0.16 and 0.50
(c) 116 centimeters
z-score =
Probability:
less than 0.0015
between 0.0015 and 0.025
between 0.025 and 0.16
between 0.16 and 0.50