"Statistics game. Ice Hockey is mathematics. The more goals the team creates, the more games it wins in a long series.'" From an interview with a choach. "The opponent has won four times, and it's not a coincidence." The opponent shot 25 times in the match towards the goal. Our goalkeepers save percentages had been 92.1 and 92.3 before, but in this match they blocked only 100 × (25 − 6)/25 = 76.0% of shots on goal. (After 10 minutes 8 seconds and four goals, the goalkeeper was switched.) Let's say that a puck is shot towards our goal in the ice hockey Olympics is blocked with a probability of 0.92 and that the blocks are independent of each other. Find the probability that out of 25 shots.

a) 0
b) 25
c) 6
d) at least 6
e) at least 2
f) 2 − 6
goes to the net.
g) What is the expected value, variance and standard deviation of the number of goals?
h) Consider how meaningful the previous assumptions and calculations are empirically.