Compute the probability of randomly selecting a three or club.

1 answer:

5 0

Find the total number of cards in a deck. Count all the # 3’s total cards/#3 cards
Count all the clubs total card/ clubs
Not sure if you are counting 3’s & clubs together. If you are, total cards/ both
So all you have to do is count & then divide to get the probability.

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Answer:

Point estimation of the mean = 17.6

Error = 4.6

95% CI: 13.0 ≤ μ ≤ 22.2

The distribution can be approximated to a normal because the sample size n=50 is bigger than 30.

Step-by-step explanation:

We have this information:

- Sample mean:

$\bar{X}=17.598$

- Sample standard deviation

$s=16.01712719$

- Sample size

$n=50$

For now on, we round to one decimal place.

The best estimation for the population mean is the sample mean

$\mu=\bar{X}=17.6$

The margin of error is equal to the t-value multiplied by the sample standard deviation and divided by the sample size.

The t value depends on the degrees of freedom and the width of the confidence interval. In this case it is a 95% CI and the degrees of freedom are 49. For this conditions, the t-value is t=2.01.

Then, the margin of error is

$E=t_{49}*\sigma/\sqrt{n}=2.01*16.0/\sqrt{50}=4.553$