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
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
|
x |
P(x) |
|
0 |
0.1677 |
|
1 |
0.3354 |
|
2 |
0.2857 |
|
3 |
0.1491 |
|
4 |
0.0373 |
|
5 |
0.0248 |
2. Draw a graph of the probability distribution being sure to clearly label the graph. You may do this by hand or using computer software.
3.What is the shape of the probability distribution?
4.Compute the
5.Interpret the expected value in context.
6.Compute the standard deviation, SD(X), of the random variable X. Round answer to one decimal place and include proper units.
7.What is the probability that in a randomly selected game Ichiro had more than 2 hits? Be sure to give the probability statement using the random variable along with the numerical value rounded to 4 decimal places.
8.What is the probability that in a randomly selected game Ichiro had no hits or 5 hits? Include the probability statement using the random variable along with the numerical value rounded to 4 decimal places in your answer.
9.What is the probability that in a randomly selected game Ichiro did not get an odd number of hits? Include a probability statement in your answer but you do not need to use the random variable this time. Give the probability rounded to 4 decimal places.
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