You are playing a card came, and the probability that you will win a game is p = 0.35. If you play the game 1319 times, what is the most likely number of wins? (Round answer to one decimal place.) fl= Let X represent the number of games (out of 1319) 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+2o. You already found μ and o for the random variable X.
You are playing a card came, and the probability that you will win a game is p = 0.35. If you play the game 1319 times, what is the most likely number of wins? (Round answer to one decimal place.) fl= Let X represent the number of games (out of 1319) 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+2o. You already found μ and o for the random variable X.
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
![**Card Game Probability Analysis**
You are playing a card game, and the probability of winning a game is \( p = 0.35 \).
1. **Expected Number of Wins**
If you play the game 1319 times, what is the most likely number of wins?
*(Round answer to one decimal place.)*
\[
\mu = \text{\_\_\_\_\_\_\_\_}
\]
2. **Standard Deviation Calculation**
Let \( X \) represent the number of games (out of 1319) that you win. Find the standard deviation for the probability distribution of \( X \).
*(Round answer to two decimal places.)*
\[
\sigma = \text{\_\_\_\_\_\_\_\_}
\]
3. **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 \( X \).
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.
\[
\text{usual values} = \text{\_\_\_\_\_\_\_\_}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fe4fd1f-2fa0-4404-8ffe-f852e50fa0fd%2Fc616cc1d-fdd1-4ebd-9366-7bfbc701a271%2Fxam086z_processed.png&w=3840&q=75)
Transcribed Image Text:**Card Game Probability Analysis**
You are playing a card game, and the probability of winning a game is \( p = 0.35 \).
1. **Expected Number of Wins**
If you play the game 1319 times, what is the most likely number of wins?
*(Round answer to one decimal place.)*
\[
\mu = \text{\_\_\_\_\_\_\_\_}
\]
2. **Standard Deviation Calculation**
Let \( X \) represent the number of games (out of 1319) that you win. Find the standard deviation for the probability distribution of \( X \).
*(Round answer to two decimal places.)*
\[
\sigma = \text{\_\_\_\_\_\_\_\_}
\]
3. **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 \( X \).
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.
\[
\text{usual values} = \text{\_\_\_\_\_\_\_\_}
\]
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