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VLD [36.1K]
3 years ago
15

The perimeter and the area

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0
Perimeter=28/3
Area=40/3
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It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha
stira [4]

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:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

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:

P(X \geq 5) = 1 - P(X < 5)

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009

P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062

P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218

P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513

P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903

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.

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295

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

#SPJ1

6 0
2 years ago
Compare 2.3 and 2.03
Andru [333]
2.3= 2.03 so there for it is equal
8 0
3 years ago
The area of the triangle below is ? Sq. Units <br> A. 66<br> B . 33<br> C . 50 <br> D . 25
kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

area =  \frac{1}{2}  \times base \times height

let \: base = 22 \\ let \: height = 3

area =  \frac{1}{2}  \times 22 \times 3

area = 11 \times 3

area = 33 \:  {units}^{2}

6 0
3 years ago
Read 2 more answers
Plz help me i dotn know this
miv72 [106K]

Answer:

it's D. I think 105 cubic feet

3 0
3 years ago
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Find the equation of the line through (2,4) and (3,-1)
Natasha2012 [34]

y=23x+143 hope this helps

3 0
3 years ago
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