A group of seven kids line up in a random order. Each ordering of the kids is equally likely. There are three girls and four boy
1 answer:
Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
<h3>What is the arrangements formula?</h3>The number of possible arrangements of n elements is the factorial of n, that is:
.
The total number of outcomes is the arrangement of 7 elements, hence:
T = 7! = 5040.
The desired number of outcomes is all girls(3!), then all boys(4!), hence:
D = 3! x 4! = 6 x 24 = 144.
Hence, the probability is:
p = D/T = 144/5040 = 0.0286.
There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.
More can be learned about the arrangements formula at brainly.com/question/24648661
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Answer:
- Overall GPA=2.81
- It is not possible to get his GPA to 3.0 for graduation.
Step-by-step explanation:
The Student already has a GPA of 2.68 after 108 credit hours.
If he is taking 12 credit hours in his last semester and gets a perfect 4.0 GPA
Total Credits Earned Before = 2.68 X 108=2894.4
Projected Credit to be earned = 12 X 4= 48 Credits
Total credit Hour= 108+12=120 Hours
His Cumulative GPA = Total credits earned ÷ Total Credit Hour
Since 2.81 is less than 3.00, it is not possible to get his GPA to 3.0 for graduation.
Answer:
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is
Differences between SRS of 200 and of 600
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.