Question

Math 2265 R-programming in posit Cloud

I fix the coding of the assignment for project 2 but I need double check or fix my coding for my project 2 in order for me to knit the assignment. I need help programming from question 1, 2 , 3, and 4.
cards_data <- read.csv("cards_data.csv")
print(cards_data)
diamond_freq <- table(cards_data$Diamond_Cards)
print(diamond_freq)
# Create a relative frequency distribution of the number of diamond cards selected
diamond_rel_freq <- prop.table(diamond_freq)
# Print the relative frequency table
print(diamond_rel_freq)
# Create a relative frequency distribution of the number of diamond cards selected as percentages
diamond_rel_freq_pct <- prop.table(diamond_freq) * 100
# Print the relative frequency table as percentages
print(diamond_rel_freq_pct)
### 2. Create a graph of the probability distribution. Make sure that your graph includes all the possible values of the discrete random variable.
```{r}
#Use this R chunk to create your graph.
#Enter the values of the discrete random variable this is the number of times that you can get a diamond card in 10 card selections
x-c(cards_dat)
#Enter the promotion from the relative frequency table. use 0 for any missing promotions
Px<-C(cards_dat)
# Calculate the probabilities
probs <- rep(1/13, 13)
# Create the bar chart
barplot(probs, names.arg = cards, xlab = "Card Value", ylab = "Probability", main = "Probability Distribution of Standard Deck of Cards")
```
### 3. Calculate the mean and the standard of your distribution.
```{r}
#Use this R chunk to calculate the mean and standard deviation.
cards <- c("2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A")
# Calculating standard
# deviation using sd()
print(sd(cards))
```
### 4. Find the following probabilities. (Hint: Use your work from Problem 1.)
**a.) P(x=3)**
**b.) P(1 < x < 4)**
**c.) P(x ≥ 8)**

Answer 1

To double-check or fix the coding for your project 2 in order to knit the assignment, you can follow these steps for questions 1, 2, 3, and 4:
1. **Question
1**: The given code reads a CSV file named
"cards_data.cv" and assigns it to the variable 'cards_data. It then creates a frequency table (diamond_freq) based on the column "Diamond_Cards" in cards_data. The relative frequency distribution of the number of diamond cards selected is stored in diamond _rel_freq' and printed.
Finally, the relative frequency distribution is also calculated as percentages and printed as diamond_rel_freq_pct. This code appears to be correct.

2. **Question
2**: The code provided in the R chunk generates a bar plot for the probability distribution.
However, there seem to be some typos in the code. Here's the corrected code:
''R
# Enter the values of the
discrete random variable (number of times a diamond card is selected in 10 card selections)

X <-
cards_data$Diamond_Cards
# Enter the probabilities from
the relative frequency table. Use O for any missing probabilities.
Px <- diamond_rel_freq
# Calculate the probabilities
probs <- rep(1/13, 13)

# Create the bar chart
barplot(probs, names.arg = x,
xlab = "Card Value", ylab =
"Probability", main = "Probability
Distribution of Standard Deck of
Cards")
Make sure to run this code chunk after the previous code to generate the desired graph.
3. **Question 3**: The code in the R chunk calculates the standard deviation of the variable cards' using the 'sd0' function. However, the variable cards' is defined as a character vector containing card names, which is incorrect. To calculate the mean and standard deviation of the distribution, you need to use the variable '× from question 2. Here's the corrected code:

# Calculate the mean and
standard deviation mean_value <- mean(x)
sd_value <- sd(x)
# Print the mean and standard
deviation
print(mean_value)
print(sd_value)
Make sure to run this code chunk after the previous code to obtain the mean and standard deviation.
4. **Question 4**: To find the probabilities, you can use the relative frequency distribution (diamond_rel_freq) obtained in question 1.
a) **P(×=3)**: The probability of selecting exactly 3 diamond cards can be obtained from
'diamond_rel_freq. Look for the relative frequency
corresponding to the value 3.
b) **P(1 < x < 4)**: The probability of selecting more than 1 and less than 4 diamond cards can be calculated by summing the relative frequencies for the values 2 and 3 from diamond_rel_fred.
c) **P(x ≥ 8)**: The probability of selecting 8 or more diamond cards can be obtained by summing the relative
frequencies for the values 8, 9, 10, J, Q, K, and A from diamond_rel_freq.

To find these probabilities, you can use the following code:
"'R
# Probability of ×=3 prob_a <- diamond_re _freq[3]
# Probability of 1 < x < 4
prob_b <- diamond_rel_freq[2] + diamond_rel_freq[37
# Probability of × ≥ 8 prob_c <-
sum(diamond_rel_freq[8:13])
# Print the probabilities
print(prob_a)
print(prob_b)
print(prob_C)
Make sure to run this code after the previous code to calculate the desired probabilities.