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

  • Thread starter Thread starter kstars
  • Start date Start date
  • Tags Tags
    Process
AI Thread Summary
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.
kstars
Messages
1
Reaction score
0
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?
 
Mathematics news on Phys.org
Where did you get these? They are all fairly basic problems. Have you not at least tried something?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top