Standard Deviation of basketball player height

[L²Cc]

Homework Statement

The mean height of players in a basketball competition is 184 cm. If the standard deviation is 5 cm, what percentage of them are likely to be:
a) taller than 189 cm
b) taller than 179 cm
c) between 174 cm and 199 cm
d) over 199 cm cm tall?

Homework Equations

The textbook reads that often approximately 68 percent of the population will have a measure that fall sbetween 1 standard deviation either side of the mean, 95 percent 2 standard deviations either side of the mean, and 99.7 percent of the population 3 standard deviations either side of the mean.

The Attempt at a Solution

For the question above, how do I find the percentage? Using the information above, can I conclude that the percentile difference between s+1 and s-1 is 68 percent (where s= standard deviation, sorry I don't have the math application required by the website). Thank you.

 

[danago]

I think you could model the given information to a normal distribution i.e. X~N(184,25) and then use some method (calculator, tables etc.) to calculate the probability of a certain height range occurring.