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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Let x represent the amount of months she has been saving for.
20x - 60 = 280
Solve for x.
20x - 60 = 280
~Add 60 to both sides
20x - 60 + 60 = 280 + 60
~Simplify
20x = 340
~Divide 20 to both sides
20x/20 = 340/20
~Simplify
x = 17
Therefore, Melanie has saved for 17 months.
Best of Luck!
Answer:3100 with 9%
Step-by-step explanation:
Answer:
Step-by-step explanation:
True
6•2=12