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 3 remains the same when 9,321 is rounded because if you look to the right of the number in the hundreds place, you see 2. 5 and above, give it a shove (round up). 4 and below, leave it alone (round down). Since 2 is below 5, we leave it alone. So 9,321 is rounded to 9,300.
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9514 1404 393
Answer:
Step-by-step explanation:
The figure only makes sense as a <em>kite</em>, in which case left sides are equal and right sides are equal.
x = 12
y = 20
Answer:
a = 2
Step-by-step explanation:
To find the missing length we can use the Pythagorean theorem. Also, because it's a right triangle it makes it the perfect candidate!
The Pythagorean Theorem states:
a^2 + b^2 = c^2
Next, we substitute the letters with our given numbers (keep in mind that c is the hypotenuse which is the side facing the right angle)
a^2 + 2.1^2 = 2.9^2
Finally, we solve our equation (hint: use the calculator if needed)
a^2 = 4 (your answer is not final yet. You have to take the square root of both numbers)
a = 2 (Now that's the final answer!)
