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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- 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?
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