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

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The discussion focuses on various probability and statistics problems, including calculations involving normal distributions, independent events, and basic probability scenarios. Key questions include determining the percentage of data within a specific range in a normal distribution, calculating the probability of events occurring independently, and assessing the likelihood of outcomes from rolling dice or drawing marbles. Participants emphasize the importance of understanding normal distribution and suggest using online calculators for assistance. The conversation highlights the necessity of grasping foundational concepts in probability to solve these problems effectively.
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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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