Suppose you roll a fair 6-sided die 100 times (independently), and you get

$3 every time you roll a 6.

Let 𝑋1 be the number of dollars you win on rolls 1 through 25.

Let 𝑋2 be the number of dollars you win on rolls 26 through 50.

Let 𝑋3 be the number of dollars you win on rolls 51 through 75.

Let 𝑋4 be the number of dollars you win on rolls 76 throught 100.

Let 𝑋 = 𝑋1 + 𝑋2 + 𝑋3 + 𝑋4 be the total number of dollars you win over all 100 rolls.

Find the expectation of X