A department store is preparing many red envelopes for customers to draw during the Lunar New Year period, claiming that the activity will continue until all red envelopes are distributed. The drawing box contains 5 sticks, of which only 1 stick is marked ``Great Fortune'', and each stick has an equal chance of being drawn. Each customer draws one stick from the box, records it, puts it back, and draws again for the next round, drawing at most 3 times. When two consecutive draws result in ``Great Fortune'', the customer stops drawing and receives a red envelope. We can view whether each customer receives a red envelope as a Bernoulli trial. Let $X$ be the position of the first customer to receive a red envelope in the entire activity, and let $E(X)$ denote the expected value of the random variable $X$. Then $E(X) = $ . (Round to the nearest integer)
A department store is preparing many red envelopes for customers to draw during the Lunar New Year period, claiming that the activity will continue until all red envelopes are distributed. The drawing box contains 5 sticks, of which only 1 stick is marked ``Great Fortune'', and each stick has an equal chance of being drawn. Each customer draws one stick from the box, records it, puts it back, and draws again for the next round, drawing at most 3 times. When two consecutive draws result in ``Great Fortune'', the customer stops drawing and receives a red envelope.\\
We can view whether each customer receives a red envelope as a Bernoulli trial. Let $X$ be the position of the first customer to receive a red envelope in the entire activity, and let $E(X)$ denote the expected value of the random variable $X$. Then $E(X) = $ \underline{\hspace{2cm}}. (Round to the nearest integer)