Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 0.54% of the calls receive a busy signal, hence p = 0.0054.
- A sample of 1300 callers is taken, hence n = 1300.
The probability that at least 5 received a busy signal is given by:
In which:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).
Then:
Then:
P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.
0.8295 = 82.95% probability that at least 5 received a busy signal.
More can be learned about the binomial distribution at brainly.com/question/24863377
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The circumference of a circle of radius 
is
So, in your case, the circumference is
The circumference is actually the length of the "perimeter", so the answer to questions 1 and 2 looks the same actually
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
The inequality is 1.85x - 42.55 > 100. 42.55 is the amount already raised, 1.85x is number of laps times the money raised by them.
that's the simplification mod
Answer:
y = 0.75x + 1
Step-by-step explanation:
Here, we want to write an equation in slope-intercept form to represent this information
Since $1 is the cost of 1 only, this represents our y intercept
It means if we are not interested in purchasing more than 1, our cost will be $1
Now, for each one bought after, we have a rate of $0.75 per one
Mathematically, that will be $0.75 times the number bought after
Hence. we have that;
y = 0.75x + 1
if 1, x = 0; so we have cost of 1 as $1
