As used in this act:

  (a) “Distribution” means the amount of money a county receives under section 4 and 5.

  (b) “Fund” means the health and safety fund created in section 3.

  (c) “Jail facility” means a jail, holding cell, holding center, or lockup as those terms are defined in section 62 of Act No. 232 of the Public Acts of 1953, being section 791.262 of the Michigan Compiled Laws.

  (d) “Juvenile facility” means a county facility or an institution operated as an agency of the county or the juvenile division of the probate court for the housing or detention of juveniles.

  (e) “Local health department” means that term as defined in section 1105 of the public health code, Act No. 368 of the Public Acts of 1978, being section 333.1105 of the Michigan Compiled Laws.