anonymous
  • anonymous
I WILL GIVE MEDAL/FAN The probability that a train leaves on time is 0.9. The probability that the train arrives on time and leaves on time is 0.36. What is the probability that the train arrives on time, given that it leaves on time? 0.6 0.9 0.27 0.36
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
@Michele_Laino @ganeshie8 @dan815 @pooja195
anonymous
  • anonymous
@hartnn
hartnn
  • hartnn
Use the normal conditional probability formula \(\Large P(A/B) = \dfrac{P(A \cap B )}{P(B)}\) A here is event that the train arrives on time. B is the event that the train leaves on time.

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anonymous
  • anonymous
What do I put for the variables?
hartnn
  • hartnn
P(B) = probability that the train leaves on time = 0.9 P(A \(\cap \)B) = probability that the train leaves on time and arrives on time = 0.36
hartnn
  • hartnn
are you sure those options/choices are correct? can you please post the screenshot of the question and options?
anonymous
  • anonymous
P(A∩B) .39 P(A/B)= ----- = --- = .4 is not an answer P(B) .9
anonymous
  • anonymous
Yes ok
anonymous
  • anonymous
1 Attachment
hartnn
  • hartnn
yes, 0.4 is the correct answer. none of the choices have 0.4, there could be the mistake while giving choices. In that case,I would select the nearest option 0.36, if i have to select one..
anonymous
  • anonymous
Okay thank you! Can you help me with another question?
anonymous
  • anonymous
Chocolate Chippers wants to see if their new chocolate bar is enjoyed more by high school or middle school students. They decide to visit one middle school and one high school in Atlanta, GA. After interviewing 75 students at each school, they determine that middle school students like their chocolate more than the high school students do. What is the sample of the population? All students who attend middle school or high school in the country All students who attend middle school or high school in Atlanta, GA All students who attend one middle school and one high school in Atlanta, GA All students who attend middle school or high school in Georgia
hartnn
  • hartnn
"They decide to visit one middle school and one high school in Atlanta, GA." this statement gives us the sample space. so, now what do you think is the answer?
anonymous
  • anonymous
c? All students who attend one middle school and one high school in Atlanta, GA
hartnn
  • hartnn
thats right :)
anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
Can you help me with this one: A doctor wants to know if her patients are happy with her. She decides to survey a sample of her clients. What method would be best for choosing a random sample that is a fair representation of her patients? Assign numbers to each patient and then use a random number generator to choose one hundred patients to survey. Give a survey to the next one hundred patients who come to the office. Call the first one hundred patients in alphabetical order. Ask the nurse to refer one hundred patients to call.
hartnn
  • hartnn
random number generator will give the most fair random sample.
anonymous
  • anonymous
What does that mean?
hartnn
  • hartnn
It means that we should use random number generator when we want a fair random sample. A random number generator will select a random number from a number space without any bias. so the doctor should assign numbers to each patient and then use a random number generator to choose one hundred patients to survey.
anonymous
  • anonymous
Oh thanks !!!
hartnn
  • hartnn
welcome ^_^

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