In the 2004 baseball season, Ichiro Suzuki of the Seattle Mariners set the record for the most hits in a season with a total of 262 hits. In the following probability distribution, the random variable X represents the number of hits Ichiro obtained in a game.
x .... P(x)
0 .... 0.1677
1 .... 0.3354
2 .... 0.2857
3 .... 0.1491
4 .... 0.0373
5 .... 0.0248
(a) Verify that this is a discrete probability distribution.
(b) Draw a probability histogram.
(c) Compute and interpret the mean of the random variable X.
(d) Compute the standard deviation of the random variable X.
(e) What is the probability that in a randomly selected game Ichiro got 2 hits?
(f ) What is the probability that in a randomly selected game Ichiro got more than 1 hit?