15.2.49 One dimensional random variables and their characteristics

Problem: The random variables \( X_{1} \) and \( X_{2} \) have binomial and Poisson distributions, respectively. Find the probabilities of \( p\left(3 \leq X_{i} \leq 5\right) \), if the expected value is \( M\left(X_{i}\right)=3 \), and the dispersion is \( D\left(X_{1}\right)=1,875 \).