# Question

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?

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?

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