Question 1206290
This is a binomial distribution problem, you can use this calculator:

https://stattrek.com/online-calculator/binomial


 (a) exactly​ five

given:
number of trials: {{{n =  10}}}
number of success trial: {{{x = 5}}}
probability of success on a single trial: {{{p = 0.42}}}


{{{P(x=5)=0.21617}}}

 (b) at least​ six

{{{P(x>= 6)=0.2016}}}


(c) less than four

{{{P(x< 4)=0.33346}}}