(d) Compute the standard deviation of the random variable X. 0x = hits (Round to three decimal places as needed.) (e) What is the probability that in a randomly selected game, the player got 2 hits? (Type an integer or a decimal. Do not round.) (f) What is the probability that in a randomly selected game, the player got more than 1 hit? (Type an integer or a decimal. Do not round.)
(d) Compute the standard deviation of the random variable X. 0x = hits (Round to three decimal places as needed.) (e) What is the probability that in a randomly selected game, the player got 2 hits? (Type an integer or a decimal. Do not round.) (f) What is the probability that in a randomly selected game, the player got more than 1 hit? (Type an integer or a decimal. Do not round.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:10:39
K
In the probability distribution to the right, the random variable X represents the number of hits a
baseball player obtained in a game over the course of a season. Complete parts (a) through (f)
below.
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because all of the probabilities are between
and the sum of the probabilities is 1.
(Type whole numbers. Use ascending order.)
(b) Draw a graph of the probability distribution. Describe the shape of the distribution.
Graph the probability distribution. Choose the correct graph below.
O A.
Probability
A
0.4-
0.3-
0.24
0.1-
0-
45
Number of Hits
B.
0.4+
0.3+
0.2+
0.1+
0-
Describe the shape of the distribution.
0 1 2 3
Number of Hits
The distribution has one mode and is skewed left.
(c) Compute and interpret the mean of the random variable X.
Hx= 1.6275 hits
(Type an integer or a decimal. Do not round.)
Which of the following interpretations of the mean is correct?
C.
0.4+
0.3+
0.2+
0.1-
0-
Vol) 1
2 ...| 46 | 14%
0
Number of Hits
(Type an integer or a decimal. Do not round.)
0x = hits
(Round to three decimal places as needed.)
(e) What is the probability that in a randomly selected game, the player got 2 hits?
Q
O D.
0.4-
0.3-
0.2+
0.1-
0
(Type an integer or a decimal. Do not round.)
(f) What is the probability that in a randomly selected game, the player got more than 1 hit?
X
0
1
2
3
4
5
P(x)
0.1679
0.3345
0.2863
0.1497
0.0367
0.0249
OA. Over the course of many games, one would expect the mean number of hits per game to be the mean of the
random variable.
and 1, inclusive,
B. The observed number of hits per game will be equal to the mean number of hits per game for most games.
C. In any number of games, one would expect the mean number of hits per game to be the mean of the random
variable.
D. The observed number of hits per game will be less than the mean number of hits per game for most games.
(d) Compute the standard deviation of the random variable X.
0 1 2 3 4 5
Number of Hits
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