Suppose a soccer team wins each of its games with probability 0.4, loses with probability 0.4, and ties with probability 0.2, with each game's outcome independent. Their season starts, and they play a game every day.Let X be the number of games they win in the first ten days. Let Y be the number of games they win or draw in the first ten days. Let Z be the day of the season that they first fail to win.
Give the distribution of X. If you choose Geom(p) or Ber(p), leave the entry for n blank.
Bin(n, p) or Geom(p) or Ber(p)
n =
p =
Give the distribution of Y. If you choose Bin(n, p) oGeom(p) or Ber(p), leave the entry for n blank.Bin(n, p)
Bin(n, p) or Geom(p) or Ber(p)
n =
p =
Give the distribution of Z. If you choose Geom(p) or Ber(p), leave the entry for n blank.Bin(n, p)
Bin(n, p) or Geom(p) or Ber(p)
n =
p =