Question 911288
p = .5, n = 14
P(3< x <6) =  binomcdf(14, .5, 6) - binomcdf(14,.5,3)
These are Instructions for the use of the TI Calculator
Strongly Recommend having one and knowing how to use the statistic functions
on it.
Another backup to check You had calculated probabilities can be found on stattrek.com
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By hand this would be:
Using {{{P (x)= highlight_green(nCx)(p^x)(q)^(n-x) }}} 
p and q are the probabilities of success and failure respectively. 
In this case p & q are = 1/2 or .5,  n = 14
{{{nCx = (n!)/x!(n - x)!)}}} 

P(4 0r 5 correct) =  14C4(.5)^4(.5)^10 + 14C5(.5)^5(.5)^9
P(4 0r 5 correct) =  1001(.5)^4(.5)^10 + 2002(.5)^5(.5)^9