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It may be or may not be; however a normal distribution is unimodal.
No, the normal distribution is strictly unimodal.
Your distribution is unimodal and symmetrical.
A uniform distribution.A uniform distribution.A uniform distribution.A uniform distribution.
Please consider the probability density function graphs for the beta distribution, given in the link. For alpha=beta=2, the density is unimodal, which is to say, it has a single maximum. In contrast, for alpha=beta=0.5, the density is bimodal; it has two maxima.