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We analyzed the resolved stellar population of the C component of theextremely metal-poor dwarf galaxy Izw18 in order to evaluate its distance andstar formation history as accurately as possible. In particular, we aimed atanswering the question of whether this stellar population is young. Wedeveloped a probabilistic approach to analyzing high-quality photometric dataobtained with the Advanced Camera for Surveys of the Hubble Space Telescope.This approach gives a detailed account of the various stochastic aspects ofstar formation. We carried out two successive models of the stellar populationof interest, paying attention to how our assumptions could affect the results.We found a distance to the C component of I Zw 18 as high as 27 Mpc, asignificantly higher value than those cited in previous works. The starformation history we inferred from the observational data shows variousinteresting features: a strong starburst that lasted for about 15 Myr, a moremoderate one that occurred approx 100 Myr ago, a continuous process of starformation between both starbursts, and a possible episode of low level starformation at ages over 100 Myr. The stellar population studied is likely approx125 Myr old, although ages of a few Gyr cannot be ruled out. Furthermore,nearly all the stars were formed in the last few hundreds of Myr.

The distance to the C component of I Zw 18 and its star formation history: A probabilistic approach