COVID-19 France confirmed/recovered/deaths

I would like to know someone who studied normalized Gaussian curves with expected value u and variance o2.
In theory, the more we will test people, the more the curve will spike rapidly, to go down rapidly, but it's just mathematics, not epidemiology.
According to epidemiologists, there won't be second wave before September 2020.

Here is the official numbers according to the Regional Health Agency : dashboard.covid.../vue-d-ensemble?location=F...

160 750 confirmed cases
Reduction in confirmed cases due to a change in calculation method.
Since June 2, patients who test positive are only counted once.

29 663
deaths

9 693
hospitalizations

74 612
returns to home

701
in reanimation

19 206
deaths at hospital

37 901
confirmed cases in retirement house and medical social establishment

10 457
deaths in retirement house and medical social establishment

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After posting, the chart does not look so precise in degrees and potential forecasts, hope you'll understand the idea.