Could use help, know the answers but with the process and equations

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In summary, these conversations cover various probability and statistic problems, including calculating percentages of data falling within a certain range, determining the probability of events occurring, and finding the number of possible outcomes in an experiment. These problems involve concepts such as normal distribution, independent events, and defective equipment. The solutions to these problems require basic knowledge of probability and statistics.
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A normally distributed data set has a mean of 25 and a standard deviation of 2.
Which percentage of the data falls between 23 and 25?

A given data set is normally distributed with a mean of 200 and a standard deviation of 5.
Which two values does 95% of the data fall between?

A
and B are events associated with an experiment with P( A) = .3 and P( B) = .5.
If A and B are independent, then what is the probability that A or B occurs?

A six-sided die, with a number from 1 to 6 on each side, is rolled twice.
What is the probability that two odd numbers are rolled consecutively?

A fast-food company is interested in knowing the probability of whether a customer viewed an advertisement for their new special on the internet or on television. They found that 37% of customers saw the advertisement on the internet, 20% saw it on television, and 12% saw it on both the internet and on television.
What is the probability that a randomly selected customer saw the advertisement on the internet or on television?

The probability of a breakdown on assembly line A is 12%. The probability of a breakdown on assembly line B is 16%. The probability that both assembly lines break down is 2%.
What is the probability that assembly line A or assembly line B break down?

An old piano has 88 keys, and 56 of them are out of tune, while the remaining keys are tuned properly. A child strikes a key on the piano at random.
What is the probability that the child strikes a properly tuned key?

A marketing company chooses a survey participant among two respondents: one female and one male. The chosen participant is then asked to rate either product A, B, or C.
What is the probability that the respondent was male and rated product B?

A bag contains 8 red, 4 green, and 9 blue marbles. One marble is drawn from the bag, not replaced, and then a second marble is drawn.
Which statement is always correct?

A company receives equipment from two factories: 38% from factory A, and all other equipment from factory B. Each factory has a percentage of equipment that is defective: 1% of factory A's equipment is defective, while 4% of factory B's equipment is defective.
If a piece of the company's equipment is selected at random, what is the probability that it is defective and from factory B?

A box contains one red ball, one purple ball, and one blue ball. Two balls are drawn from the box one after the other without replacing the first ball.
How many outcomes are possible for this experiment?
 
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Where did you get these? They are all fairly basic problems. Have you not at least tried something?
 
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1. What are the steps to solving a scientific problem?

The steps to solving a scientific problem include identifying the problem, conducting research, formulating a hypothesis, designing and conducting experiments, analyzing data, and drawing conclusions.

2. How do you know which equations to use for a specific problem?

The equations used for a specific problem depend on the variables involved and the relationships between them. It is important to carefully read and understand the problem before selecting the appropriate equations.

3. What should I do if I am having trouble with a specific step in the scientific process?

If you are having trouble with a specific step in the scientific process, it is important to seek help from a mentor or colleague who is knowledgeable in the subject. You can also refer to textbooks or online resources for further guidance.

4. How can I improve my understanding of scientific processes and equations?

To improve your understanding of scientific processes and equations, it is important to practice regularly and seek out additional resources such as textbooks, online tutorials, and workshops. Collaborating with others and discussing concepts can also help deepen your understanding.

5. Are there any shortcuts or tricks for solving scientific problems more efficiently?

While there may be some shortcuts or tricks for solving specific scientific problems, it is important to have a thorough understanding of the underlying concepts and processes. Shortcuts may not always be applicable and can lead to errors if used incorrectly.

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