Question

100 points

Answer 1

a) For every 1 point, Yehudi wins 0.35 points.

Thus, for $15$ points, Yehudi will win $15 \times 0.35= 5.25$ points.

b) You know what to do :)

Answer 2

When you repeat the same experiment over and over, and all experiments are independent, you are following a Bernoulli distribution. If you perform $n$ experiments, and you have probability of succeeding $p$ for each experiment, the expected number of successes is

$\mathbb{E}(X)=np$

In your case, you perform 15 experiments, with a probability of success of 0.35 per experiment. So, we expect

$np=15\cdot 0.35=5.25$

Since 10 is about twice the number of expected points, it would be very surprising.