the airline Middle School girls soccer team won 80% of the games this season if they won 12 games did they play
1 answer:
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Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion
p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error
where
n is the sample size
So
ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
Answer:
P(X < 4) = 0.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this question, we have that:
Find the probability that the number of correct answers is fewer than 4:
This is
So
P(X < 4) = 0.5