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Virty [35]
3 years ago
9

according to a survey conducted by the Texas Free Press 25 out of 500 people do not have internet access at their home what perc

ent of the people surveyed to have internet access at their home​
Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

95%

25/500=.05

1 -.05=.95

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Answer:

$15348

Step-by-step explanation:

i = prt is the simple interest equation

i = 12,000(0.031) = 372

i = 372*9 = 3348

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Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of flights i
Morgarella [4.7K]

Answer:

a) P(X = n) = (0.85)^{n}

b) P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}

c)

P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)

For each value, we use

P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}

d) If x > E(X) + \sqrt{V(X)}, yes, otherwise no

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that we use the binomial probability distribution to solve this question.

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.

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)}

A measure is said to unusual if it is more than 2.5 standard deviations from the mean.

85% of recent flights have arrived on time.

This means that p = 0.85

(a) Find the probability that all of the flights were on time.

This is P(X = n), in which n is the size of the sample studied.

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

P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}

P(X = n) = (0.85)^{n}

(b) Find the probability that exactly x of the flights were on time.

Exactly x of the flights: So

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

P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}

(c) Find the probability that x or more of the flights were on time.

This is

P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)

For each value, we use

P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}

(d) Would it be unusual for x or more of the flights to be on time?

If x > E(X) + \sqrt{V(X)}, yes, otherwise no

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3 years ago
What is the sum of the first 7 terms for the geometric sequence with first term 3, seventh term 46,875, and common ratio 5
olga55 [171]
Have a nice day! Hopefully this could help you

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3 years ago
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