Solution Found!
Solved: Ichiro’s Hit Parade In the 2004 baseball season,
Chapter 11, Problem 19AYU(choose chapter or problem)
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.
\(\begin{array}{l}
\begin{array}{cc}
\boldsymbol{x} & \boldsymbol{P ( x )} \\
\hline 0 & 0.1677 \\
\hline 1 & 0.3354 \\
\hline 2 & 0.2857 \\
\hline 3 & 0.1491 \\
\hline 4 & 0.0373 \\
\hline 5 & 0.0248 \\
\hline
\end{array}\\
\text { Source: Chicago Tribune }
\end{array}\)
(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?
Questions & Answers
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.
\(\begin{array}{l}
\begin{array}{cc}
\boldsymbol{x} & \boldsymbol{P ( x )} \\
\hline 0 & 0.1677 \\
\hline 1 & 0.3354 \\
\hline 2 & 0.2857 \\
\hline 3 & 0.1491 \\
\hline 4 & 0.0373 \\
\hline 5 & 0.0248 \\
\hline
\end{array}\\
\text { Source: Chicago Tribune }
\end{array}\)
(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?
ANSWER:Step 1 of 7
Given, 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.
\(\begin{array}{l|l}
x & P(x) \\
\hline 0 & 0.1677 \\
\hline 1 & 0.3354 \\
\hline 2 & 0.2857 \\
\hline 3 & 0.1491 \\
\hline 4 & 0.0373 \\
\hline 5 & 0.0248 \\
\hline
\end{array}\)