The Ceiling Tile Game:
11% of the time that we point up randomly, the ceiling tile we're pointing to is cracked. Suppose we point three times. Let X be the number of cracked ceiling tiles we get. The probability distribution for X is (exact answers, no rounding):
X probability
0- ?
1-?
2-?
3-?
The mean of X is (exact answer) -?
The standard deviation of X is (to three places after the decimal) -?
If we play "The Ceiling Tile Game" 1700 times, the total number of cracked ceiling tiles should be about (exact answer) -?