It is an unfortunate fact that ALL law enforcewment agencies are suffering shortages of female officers, the applicant pool is very small and they usually hire females who are much less qualified than the male applicants.   It is an unfortunate, but true reality.  Departments aren't necessarily more biased, it is just that they have so many more male applicants that they can be much more meticulous in their choice of male candidates and with females often have to do with what they are given.  I would like to stress that I am not saying this about all female applicants.  Many female officers I work with are more than qualified and even more qualified than the male officers in my department, but the large majority of females either have no previous relevant experience or were hired having qualifications that a male candidate would have been turned down for.
I have not personally had any experience with the LAPD board, but the best advice I can give you is dress to impress, maintain eye contact frequently with all members of the board and relax.   Also think before you speak, don't just blurt out an answer, it is better to make them wait a second or two and say the right thing than regret having said the wrong thing.
Good Luck