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(a) construct a discrete probability
Chapter 11, Problem 23AYU(choose chapter or problem)
In Problems 21-24, (a) construct a discrete probability distribution for the random variable X [Hint: \(P(x_i)\ =\ \frac{f_i}{N}]\), (b) draw the probability histogram, (c) compute and interpret the mean of the random variable X, and (d) compute the standard deviation of the random variable X.
Paper Toss Paper Toss is a popular application for smartphones. The goal of the game is to toss crumbled paper into a trash can while accounting for wind from a fan. The following data represent the ratings (on a scale from 1 to 5) with 1 representing a poor rating.
Questions & Answers
QUESTION:
In Problems 21-24, (a) construct a discrete probability distribution for the random variable X [Hint: \(P(x_i)\ =\ \frac{f_i}{N}]\), (b) draw the probability histogram, (c) compute and interpret the mean of the random variable X, and (d) compute the standard deviation of the random variable X.
Paper Toss Paper Toss is a popular application for smartphones. The goal of the game is to toss crumbled paper into a trash can while accounting for wind from a fan. The following data represent the ratings (on a scale from 1 to 5) with 1 representing a poor rating.
ANSWER:
Answer :
Step 1
Approach : to construct the discrete probability distribution by using relative frequency.
That means =
The discrete probability distribution is calculated by using the following table.
Stars |
Frequency ( |
|
1 |
2752 |
0.11603 |
2 |
2331 |
0.09828 |
3 |
4215 |
0.177713 |
4 |
3902 |
0.164516 |
5 |
10518 |
0.443461 |
Total |
23718 |
1 |
Here,
Then
=
=
=
= 0.1160