Lauren Bishop, 31, of Barkly Street, Portland, pleaded guilty in Warrnambool Magistrates Court to seven charges, including unlawful assault and recklessly causing injury.

On April 24 she approached a female victim standing near the public toilets at Warrnambool's Target complex and pushed her with both hands into a window.

She then walked towards an ATM before returning to the public toilets, where an elderly female was waiting in line.

Bishop punched the woman to the chin twice with a closed fist, causing her to lose her balance and stumble backwards.

Police said the victims were not known to the offender.

Then on April 30 Bishop entered Coles supermarket on Warrnambool's Lava Street where a male victim aged in his late-50s was paying for his groceries.

She walked up to the man and hit him on the side of the face, causing pain.

Police said the victim was left stunned. He turned to see a woman he did not recognise walking way.

Bishop was arrested later that day, smelling like alcohol and slurring her words.

In a separate incident in March, she broke a flat screen TV and punched a male associate to the head 20 times, causing his ear to split.

Lawyer Matt Pitkin said his client had an intellectual disability and was intoxicated at the time of the offending.

He said Bishop was emotionally affected by high school bullying and she believed the victims had offended her.

But magistrate Mark Stratmann said the offending was serious.

"This is people simply going about their affairs... people who had no knowledge of you at all," he said.

"On top of that, they were head strikes which places people's lives at risks."

Bishop was jailed for four months with 64 days days already served in custody on remand.

She was also fined $500, ordered to pay $739 compensation for the broken TV and prohibited from attending any licensed premises for a period of two years.

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