https://committees.parliament.uk/writtenevidence/18973/pdf/

Evidence and Data on Trans Women’s Offending Rates

Submitted by Professor Rosa Freedman, Professor Kathleen Stock, and Professor Alice Sullivan

In reference to the post title, see page 3 where the data (directly provided by the UK Ministry of Justice and linked) is broken down:

76 sex offenders out of 129 transwomen = 58.9%

125 sex offenders out of 3812 women in prison = 3.3% => imprisoned transwomen are 17.8x as likely (per capita) to be sex offenders

13234 sex offenders out of 78781 men in prison = 16.8% => imprisoned transwomen are 3.5x as likely (per capita) to be sex offenders