The Speaker of the Lok Sabha, the lower house of the Indian Parliament, can be removed from office through a resolution passed by a majority of all the members of the House. This means that if more than half of the members of the Lok Sabha vote in favor of removing the Speaker, they can be removed from their position.

Option 1 is not correct because a no-confidence motion cannot be used to remove the Speaker. A no-confidence motion is a different procedure used to express lack of confidence in the government, not the Speaker.

Option 2 is also not correct because a resolution passed by not less than half of the total membership of the House is not enough to remove the Speaker. A higher majority is required.

Option 3 is incorrect as well because a resolution passed by at least two-thirds of the total membership of the House is not necessary for the removal of the Speaker. The required majority is lower.

In conclusion, the correct option is option 4, which states that a resolution passed by a majority of all the members of the House is needed to remove the Speaker of the Lok Sabha.