Can anyone use Statcrunch to show me how to do this please P

Can anyone use Statcrunch to show me how to do this, please?

Part 3: Comparing Experimental Probability to Theoretical Probability

Our experiment will be drawing 10 cards with replacement from a standard deck of 52 cards (with 13 hearts, 13 diamonds, 13 clubs, 13 spades). We will record the number of diamonds.

Our experiment will be drawing 10 cards with replacement from a standard deck of 52 cards (with 13 hearts, 13 diamonds, 13 clubs, 13 spades). We will record the number of diamonds.

Question 3:

Why is this a binomial probability?

What are the values of n, p, and q?

What (in words) does X represent?

What are all of the possible values of X?

STEPS:::

We are now going to use StatCrunch to simulate doing this experiment 50 times. That is, draw 10 cards and record the number of diamonds, then draw another 10 cards and record the number of diamonds, then . . . . . . doing this 50 times.

There are going to be several steps. EVERYONE’S RESULTS SHOULD BE DIFFERENT SINCE YOUR EACH ARE DOING YOUR OWN EXPERIMENT. You will create a probability distribution based on your experiment

Step 1

From a blank spreadsheet in StatCrunch.click on DATA, then SIMULATE, then select BINOMIAL

Enter 50 rows, 1 column, your n value and your p value from the situation. Leave the rest as the default.

The outcome from the computers simulation of doing the experiment 50 times will be automatically entered in the first column.

Close the pop up window that confirms the data has been entered.

Label this column “EXP DATA”

Step 2

Find the sample size (n), mean (), and standard deviation (s) from the “EXP DATA”. (hint STAT, Summary Stats, Columns, “EXP DATA”, n, mean, std. dev.)

Copy this table into Question 4 (make sure to include all of the labels and heading for the table). Answer Question 4, part a.

Step 3

To summarize this data, make a Frequency and Relative Frequency table. (hint: STAT, Table, Frequency, “EXP DATA”, Frequency and Relative Frequency)

Copy this table into Question 4 (make sure to include all of the labels and heading for the table).

Step 4

Copy THE NUMBERS ONLY from the three columns of the Frequency/Relative Frequency Table into the StatCrunch spreadsheet in the columns labels var3, var4, and var5. It should now look like the table, but in the spreadsheet.

Label the column that have your table numbers as “NUMBER OF DIAMONDS”, “FREQUENCY”, and “RELATIVE FREQUENCY”

Answer Question 4, part b and c, based on the relative frequency.

Our experiment will be drawing 10 cards with replacement from a standard deck of 52 cards (with 13 hearts, 13 diamonds, 13 clubs, 13 spades). We will record the number of diamonds. Question 3: Why is this a binomial probability? What are the values of n, p, and q? What (in words) does X represent? What are all of the possible values of X?

Solution

QUESTION 3:

a)

Because we have a fixed number of trials, the trials are independent, the probability of a success is constant (1/4 or 0.25), and there are only two outcomes: success and failure.

b)

n = 10
p = 1/4 or 0.25
q = 1 - p = 0.75

c)

x represents the number diamonds drawn out of 10 trials.

d)

{0,1,2,3,4,5,6,7,8,9,10}

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