You are playing a card came, and the probability that you will win a game is p = 0.45. If you play the game 764 times, what is the most likely number of wins? (Round answer to one decimal place.) Let X represent the number of games (out of 764) that you win. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = The range rule of thumb specifies that the minimum usual value for a random variable is µ-20 and the maximum usual value is µ+20. You already found u and o for the random variable X. Use the range rule of thumb to find the usual range of X values. Enter answer as an interval using square- brackets and only whole numbers.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Card Game Probability Analysis**

You are playing a card game, and the probability that you will win a game is \( p = 0.45 \).

**Question 1: Expected Wins**
If you play the game 764 times, what is the most likely number of wins?
*(Round the answer to one decimal place.)*

\[ \mu = \_\_\_\_ \]

**Question 2: Standard Deviation**
Let \( X \) represent the number of games (out of 764) that you win. Find the standard deviation for the probability distribution of \( X \).
*(Round the answer to two decimal places.)*

\[ \sigma = \_\_\_\_ \]

**Range Rule of Thumb**
The range rule of thumb specifies that the minimum usual value for a random variable is \( \mu - 2\sigma \) and the maximum usual value is \( \mu + 2\sigma \). You already found \( \mu \) and \( \sigma \) for the random variable \( X \).

**Question 3: Usual Range**
Use the range rule of thumb to find the usual range of \( X \) values. Enter the answer as an interval using square brackets and only whole numbers.

\[ \text{usual values} = \_\_\_\_ \]
Transcribed Image Text:**Card Game Probability Analysis** You are playing a card game, and the probability that you will win a game is \( p = 0.45 \). **Question 1: Expected Wins** If you play the game 764 times, what is the most likely number of wins? *(Round the answer to one decimal place.)* \[ \mu = \_\_\_\_ \] **Question 2: Standard Deviation** Let \( X \) represent the number of games (out of 764) that you win. Find the standard deviation for the probability distribution of \( X \). *(Round the answer to two decimal places.)* \[ \sigma = \_\_\_\_ \] **Range Rule of Thumb** The range rule of thumb specifies that the minimum usual value for a random variable is \( \mu - 2\sigma \) and the maximum usual value is \( \mu + 2\sigma \). You already found \( \mu \) and \( \sigma \) for the random variable \( X \). **Question 3: Usual Range** Use the range rule of thumb to find the usual range of \( X \) values. Enter the answer as an interval using square brackets and only whole numbers. \[ \text{usual values} = \_\_\_\_ \]
Assume that a procedure yields a binomial distribution with \( n = 963 \) trials and the probability of success for one trial is \( p = 17\% \).

1. **Find the mean for this binomial distribution.**
   - *(Round answer to one decimal place.)*
   - \( \mu = \underline{\hspace{3cm}} \)

2. **Find the standard deviation for this distribution.**
   - *(Round answer to two decimal places.)*
   - \( \sigma = \underline{\hspace{3cm}} \)

3. **Use the range rule of thumb to find the minimum usual value \(\mu - 2\sigma\) and the maximum usual value \(\mu + 2\sigma\). Enter answer as an interval using square-brackets only with whole numbers.**
   - usual values = \([\underline{\hspace{2cm}}, \underline{\hspace{2cm}}]\)
Transcribed Image Text:Assume that a procedure yields a binomial distribution with \( n = 963 \) trials and the probability of success for one trial is \( p = 17\% \). 1. **Find the mean for this binomial distribution.** - *(Round answer to one decimal place.)* - \( \mu = \underline{\hspace{3cm}} \) 2. **Find the standard deviation for this distribution.** - *(Round answer to two decimal places.)* - \( \sigma = \underline{\hspace{3cm}} \) 3. **Use the range rule of thumb to find the minimum usual value \(\mu - 2\sigma\) and the maximum usual value \(\mu + 2\sigma\). Enter answer as an interval using square-brackets only with whole numbers.** - usual values = \([\underline{\hspace{2cm}}, \underline{\hspace{2cm}}]\)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman