This problem is on Binomial distribution with the number of trials n= 5; the number of success trials k= 3 and the probability of success at each individual trial of p= 0.25. Go to the link https://stattrek.com/online-calculator/binomial.aspx find free of charge calculator there and find P(n=5; k=3, p=0.25) = 0.08789. So, option (d) from the list is your answer.