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photoshop1234 [79]
3 years ago
12

The probability that Shania is on time for school is 1/2 . Find the probability that Shania arrives on time for school for the n

ext 5 days. Express your answer as a percent, to the nearest tenth of a percent.
Mathematics
2 answers:
Alisiya [41]3 years ago
5 0
The solution to the problem is as follows:

<span>1/2*1/2*1/2*1/2*1/2
= 1/2!
= 1/32
= 0.0313
= 3.13% 
</span>
Therefore, the <span>probability that Shania arrives on time for school for the next 5 days is 3.1 %

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries. Have a nice day ahead!
</span>
Drupady [299]3 years ago
4 0

Answer:

The solution to the problem is as follows:

1/2*1/2*1/2*1/2*1/2

= 1/2!

= 1/32

= 0.0313

= 3.13%  

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6 0
3 years ago
A popular resort hotel has 300 rooms and is usually fully booked. About 7% of the time a reservation is canceled before the 6:00
kicyunya [14]

Answer:

8.69% probability that at least 285 rooms will be occupied.

Step-by-step explanation:

For each booked hotel room, there are only two possible outcomes. Either there is a cancelation, or there is not. So we use concepts of the binomial probability distribution to solve this question.

However, we are working with a big sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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 samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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)}.

In this problem, we have that:

A popular resort hotel has 300 rooms and is usually fully booked. This means that n = 300

About 7% of the time a reservation is canceled before the 6:00 p.m. deadline with no pen-alty. What is the probability that at least 285 rooms will be occupied?

Here a success is a reservation not being canceled. There is a 7% probability that a reservation is canceled, and a 100 - 7 = 93% probability that a reservation is not canceled, that is, a room is occupied.  So we use p = 0.93

Approximating the binomial to the normal.

E(X) = np = 300*0.93 = 279

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.93*0.07} = 4.42

The probability that at least 285 rooms will be occupied is 1 subtracted by the pvalue of Z when X = 285. So

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

Z = \frac{285- 279}{4.42}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131.

So there is a 1-0.9131 = 0.0869 = 8.69% probability that at least 285 rooms will be occupied.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%20%5Csf%20%5Cfbox%20%5Cpurple%7Bquestion%20%3A-%7D" id="TexFormula1" title="\huge \sf
Shkiper50 [21]

Answer:

infinite

Step-by-step explanation:

  • x=1
  • y=3

Let the linear equation in two variables be ax+by+c=0

Put values

\\ \sf\longmapsto 1a+3b+c=0

\\ \sf\longmapsto a+3b+c

Hence for any values it has infinite number of solutions .

including x=1 and y=3

6 0
3 years ago
Read 2 more answers
What year is 7 years after 2003
mezya [45]

Answer:

2010

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Four sets of three squared
yKpoI14uk [10]

Answer:

4^3

Step-by-step explanation:

Four sets of three Squared

To start, you will need to get the set(base number) and get the exponent 3 and put it on the top.

4^3

Hope this helps!

8 0
3 years ago
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