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Rina8888 [55]
2 years ago
10

The probability that a randomly-selected person at a show has seen the band play live before is 50%. A "superfan" is defined as

someone who has seen the band play live at least 5 times. The probability that a person at a show is a "superfan" is 30%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are "superfans?"
Mathematics
1 answer:
zavuch27 [327]2 years ago
4 0

Answer:

0.25 and 0.09

Step-by-step explanation:

The probability that a randomly-selected person at a show has seen the band play live before is 50%=0.50

The probability that a person at a show is a "superfan" is 30%=0.30

Two people are selected at random.

The probability that both people have both seen the band perform live before

= The probability that the first person has seen the band live before and the second person also has seen the band live before.

=0.50 x 0.50

=0.25

Similarly, the probability that both are  "superfans"

=The probability that the first person is a superfan and the probability that the second person is a superfan.

=0.30 x 0.30

=0.09

Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.25 and 0.09 respectively.

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J'Neices cell phone plan is $79 per month for unlimited calling plus 1000 text messages. Text messages over 1000 cost $0.15 each
BaLLatris [955]

Answer:

C. 244

Step-by-step explanation:

It costs 79 dollars a month = 79x

It costs 0.15 dollars for every text message over 1000 = 0.15y

The equation is:

79x + 0.15y = z

X = months

Y =  Each text message over 1000

Z = the total amount spent

Let's plug in our values

79(1) + 0.15(1100) = z

79 * 1 = 79

0.15 * 1100 = 165

79 + 165 = z

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C. 244

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Explain what is meant by domain and range.
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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
hoa [83]

Answer:

Obese people

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, "almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)".

Solution to the problem

Obese people

Let X the random variable that represent the minutes of a population (obese people), and for this case we know the distribution for X is given by:

X \sim N(373,67)  

Where \mu=373 and \sigma=67

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Let X the random variable that represent the minutes of a population (lean people), and for this case we know the distribution for X is given by:

X \sim N(526,107)  

Where \mu=526 and \sigma=107

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

The interval for the lean people is significantly higher than the interval for the obese people.

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Answer:

1. No

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3. No

4. Yes

5. Yes

Step-by-step explanation:

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