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 1A) Verify that this a discrete probability distribution by demonstrating meeting the appropriate rules. 1B) Draw a bar graph of the probability distribution using appropriate axis labels. In complete sentences, describe the shape of the distribution. 1C) Compute, and in complete sentences, interpret the mean o the random variable X. Please show the details of the formula and values in the summation you are using, then complete your work with your calculator.

1. 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

1A) Verify that this a discrete probability distribution by demonstrating meeting the appropriate rules.

1B) Draw a bar graph of the probability distribution using appropriate axis labels. In complete sentences, describe the shape of the distribution.

1C) Compute, and in complete sentences, interpret the mean o the random variable X. Please show the details of the formula and values in the summation you are using, then complete your work with your calculator.

1D) Compute the standard deviation of the random variable X. Please show the work for your computation by forming a chart to show the parts of the st. dev. calculation. As in; columns for the difference, the squaring, the multiplication, and then finalizing steps showing the summation value, the variance value, and lastly the found standard deviation value.

1E) What is the probability that in a randomly selected game  Ichiro got 2 hits

1F) What is the probability that in a randomly selected game Ichiro got more than 1 hit?