Answer:
And we can find this probability using the complement rule and the normal standard table:
And the best solution would be:
c. 0.3085
Step-by-step explanation:
For this case we can convert all the values to inches in order to standardize the solution:
Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
We can use the z score formula given by:
Using this formula we got:
And we can find this probability using the complement rule and the normal standard table:
And the best solution would be:
c. 0.3085