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Roman55 [17]
3 years ago
5

What is the probability that at least 18 of the 50 subscribers in your sample REOFFEND? Find the mean of the sample proportion o

f subscribers that REOFFENDED. Report to two decimal places
Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer: The question has some details missing and incomplete. here is the complete question ; New regulations in Canada require all Internet service providers (ISPs) to send a notice to subscribers who are downloading files illegally asking them to stop. This "notice and notice" system was already in place with Rogers Cable. That company says that prior to these regulations, 67% of its subscribers who received the notice did NOT reoffend. Consider a random sample of 50 of these Rogers subscribers who received a first notice.

a) What is the distribution (or approximate distribution) of the number X of subscribers who reoffend?

b)Find the mean of the sample proportion of subscribers that REOFFENDED. Report to two decimal places:

c)Find the standard deviation of the sample proportion of subscribers that REOFFENDED. Report to three decimal places:

d)Find the z-score for the 18 of the 50 subscribers who reoffended (report to two decimal places)

e)Find the probability that at least 18 of the 50 subscribers reoffended (report to two decimal places)

Step-by-step explanation:

a) Approximate distribution of the number X of subscribers who reoffend is NORMAL, as both np and n(1-p) are greater than 5.

b) n = 50,  67% of its subscribers who received the notice did NOT reoffend = q, therefore p = 1 - q = 1 - 0.67 = 0.3300, p = 0.3300,

here mean of distribution ; μ = np = 16.5

c) standard deviation σ =√(np(1-p)) = 3.325

d) z score =  (X-mean) / SD = (18-16.5) / 3.325=0.45

e) Probability that at least 18 of the 50 subscribers reoffended; P(X>18)  = P(Z>0.45) = 0.33

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Aleks [24]

Answer:

0.599  is the probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

We are given the following in the question:

The number of typing errors made by a typist has a Poisson distribution.

\lambda  =7

The probability is given by:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

We have to find the probability that a  randomly selected page does not need to be retyped

P(less than or equal to 7 mistakes in a page)

P( x \leq 7) = P(x =1) + P(x=1) +...+ P(x=6) + P(x = 7)\\\\= \displaystyle\frac{7^0 e^{-7}}{0!} + \displaystyle\frac{7^1 e^{-7}}{1!} +...+ \displaystyle\frac{7^6 e^{-7}}{6!} + \displaystyle\frac{7^7 e^{-7}}{7!} \\\\= 0.59871\approx 0.599

Thus, 0.599  is the probability that a randomly selected page does not need to be retyped.

4 0
4 years ago
A used car was purchased in july
Liula [17]

Answer:

Where's the rest of the question?

Step-by-step explanation:

3 0
3 years ago
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Find the measure of the third side of each triangle.
Julli [10]

Answer:

2x - 2y

Step-by-step explanation:

P = 7x + 2y

P =a + b + c

7x + 2y = 2x + y +3x - 5y + c

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6 0
3 years ago
If f(x)=4x2=1 and g(x)=x2-5, find (f-g)(x)<br>A:3x2+6<br>B:5x2-6<br>C:3x2-4<br>D:5x2-4
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For this case we have the following functions:

f (x) = 4x ^ 2 + 1\\g (x) = x ^ 2-5

We must find(f-g) (x):

By definition of operations with functions we have:

(f-g) (x) = f (x) -g (x)

So:

(f-g) (x) = f (x) -g (x) = 4x ^ 2 + 1- (x ^ 2-5) = 4x ^ 2 + 1-x ^ 2 + 5 = 3x ^ 2 + 6

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5 0
4 years ago
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? A. {5, 8} B. {-5, -8} C. {3, 8} D. {4,
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Answer:

Option D

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Step-by-step explanation:

We know that for polynomial functions like f(k) = k^2 + 2k + 1 its domain and its rank are all real numbers. However, for this case we are told that the function range is: the set {25, 64}

This means that the function is bounded.

Then the domain of f(k) are all possible values of k such that f(k) belongs to the interval {25, 64}.

To find the limit values of k then we do f(k) = 25

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Now we factor the expression:

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Now we do f(k) = 64

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We factor the expression:

(k + 9)(k-7) = 0

k = -9 and k = 7.

Finally we search between the options given an interval that matches.

The option that matches is option D {4, 7}

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