  The Bernoulli convolution $\nu_\lambda$ with parameter $\lambda\in(0,1)$ is
the probability measure supported on $\mathbf{R}$ that is the law of the random
variable $\sum\pm\lambda^n$, where the $\pm$ are independent fair coin-tosses.
We prove that $\dim\nu_\lambda=1$ for all transcendental $\lambda\in(1/2,1)$.
