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Otrada [13]
3 years ago
10

Please help this is due soon

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

c=42

Step-by-step explanation:

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Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that
Mekhanik [1.2K]

Answer:

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

np \geq 10 and n(1-p) \geq 10

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Out of 124 software users

This means that n = 124

Assume the probability that a given software user will call technical support is 97%.

This means that p = 0.97

Conditions:

np = 124*0.97 = 120.28 \geq 10

n(1-p) = 124*0.03 = 3.72 < 10

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

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

P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0
3 years ago
Complete the equivalent equation for -7x-60 =x^2 +10x
alex41 [277]

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

  • Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

  • Multiply A with C

New:

(1)x x 60 = 60

  • Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15

5 times 12 equal 60, but when added equal to 17.

  • Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

  • Break them off into two equations

New:

x² + 5x  l  12x + 60

  • Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5)  l  +12(x+5)

  • Answer: (x+12)(x+5)

6 0
3 years ago
Equations with fractions that equal 12
svlad2 [7]
12/1 or 24/2 36/3 etc.
4 0
3 years ago
What is the answer is it A. or B. or C. ?
nekit [7.7K]

Answer:

i believe its b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many times does 6 go into 64
Bumek [7]
6 goes into 64 ten times with a remainder of 4
you know that
3 0
3 years ago
Read 2 more answers
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