Stats 151 - Assigning Probability to Events

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Chemistry 101 Stats 151 Flashcards on Stats 151 - Assigning Probability to Events, created by jennabarnes12387 on 23/01/2014.
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Question Answer
What is probability? A number associated with a random event
When do we use the uniform probability model? When all outcomes are equally likely
What is AUB when calculating probability for compound events? Includes all outcomes where Either A or B or both occur
What is AUBc? All outcomes that don't include A or B
A upside down U B All outcomes that include A and B
How do you find the probability of both a and b if there are 42 A and 9 B out of 100 people? 42/100 + 9/100 = 0.51
What is an independent event? The probability of A occurring is not effected by B
How do you find the probability of A and B happening if A and B are independent P(AUB) = P(A) + P(B) - P (AUB)
an urn contains 5 white balls and 10 black balls. tow balls are draw without replacement meaning you put the ball back after you draw it. What is the probability you will draw two white balls? 5/15 = first draw 5/15 = 2nd draw 5/15 * 5/15 = probability
What if you dont put the ball back in after you draw it? 5/15 * 4/15
There are three radar guns that have a 0.02 probability that they wont detect a plane. What is the probability none will go off? (0.2)cubed = 0.0008
What is the likelihood at least one will detect the plane? 1 - 0.0008 = 0.9992
What is the likelihood all three will go off? (0.98)cubed = 0.9412
there are two fire alarms, one with a 0.95 change of detecting smoke and one with a 0.90 chance of detecting heat. What is the likelihood at least one alarm will go off? P(A) + P(B) - P(A) * P(B) = 0.95 + 0.90 - (0.95 *0.90) = 0.995
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