Answered: In the probability distribution to the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

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 (e) below.		x	P(x)
	0	0.1687
	1	0.3356
	2	0.2851
	3	0.1501
	4	0.0368
	5	0.0237

(a) Verify that this is a discrete probability distribution.

This is a discrete probability distribution because

all of the probabilities are

at least one of the probabilities is

all of the probabilities are

between

and

11,

inclusive, and the

sum

mean

product

of the probabilities is

11.

(Type whole numbers. Use ascending order.)

(b) Compute and interpret the mean of the random variable X.

μx=nothing

hits

(Type an integer or a decimal. Do not round.)

σx=nothing

hits

(Round to three decimal places as needed.)

(d) What is the probability that in a randomly selected game, the player got 2 hits?

nothing

(Type an integer or a decimal. Do not round.)

(e) What is the probability that in a randomly selected game, the player got more than 1 hit?

nothing

(Type an integer or a decimal. Do not round.)

Enter your answer in each of the answer boxes.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions