Add mean dispatch for pymc distributions #4661

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Job	Run time
Check for changes	22s
ubuntu (ubuntu-20.04, float64, 3.12, tests/test_util.py tests/test_pytensorf.py tests/test_math.p...	21m 7s
float32 (windows-latest, float32, 3.12, tests/sampling/test_mcmc.py tests/ode/test_ode.py tests/o...	32m 3s
external_samplers (ubuntu-20.04, float64, 3.12, tests/sampling/test_jax.py tests/sampling/test_mc...	8m 27s
ubuntu (ubuntu-20.04, float64, 3.12, tests/distributions/test_continuous.py tests/distributions/t...	32m 47s
macos (macos-latest, float64, 3.12, tests/sampling/test_parallel.py tests/test_data.py tests/vari...	19m 13s
ubuntu (ubuntu-20.04, float64, 3.12, tests/distributions/test_censored.py tests/distributions/tes...	18m 19s
macos (macos-latest, float64, 3.12, tests/sampling/test_mcmc.py )	23m 42s
windows (windows-latest, float64, 3.10, tests/variational/test_approximations.py tests/variationa...	19m 0s
ubuntu (ubuntu-20.04, float64, 3.12, tests/tuning/test_scaling.py tests/tuning/test_starting.py t...	18m 36s
macos (macos-latest, float64, 3.12, tests/backends/test_arviz.py tests/variational/test_updates.py )	14m 59s
windows (windows-latest, float64, 3.10, tests/model/test_core.py tests/sampling/test_mcmc.py)	24m 13s
ubuntu (ubuntu-20.04, float64, 3.12, tests/distributions/test_timeseries.py tests/gp/test_cov.py ...	23m 27s
windows (windows-latest, float64, 3.10, tests/gp/test_cov.py tests/gp/test_gp.py tests/gp/test_me...	16m 28s
ubuntu (ubuntu-20.04, float64, 3.12, tests/backends/test_mcbackend.py tests/distributions/test_tr...	22m 51s
windows (windows-latest, float64, 3.10, tests/step_methods/test_metropolis.py tests/step_methods/...	19m 32s
all_tests	1s
	5h 15m 7s