We are given that
[tex]\begin{gathered} p=0.4 \\ n=15 \end{gathered}[/tex]We want to find
[tex]p(X\leq5)[/tex]Solution
From the question
[tex]\begin{gathered} n=15 \\ p=0.4 \end{gathered}[/tex]The probability is a binomial probability distribution.
Using the statistical table
[tex]p(X\leq5)=0.403[/tex]