3) It is determined that in a particular city, the probability of it raining on a given day is 7%. On days in which it is raining, there is a 65% chance that there are high winds, while on days in which it is not raining, there is a 12% chance of high winds. a) Draw a tree diagram to represent this data. Let R be the event that it is raining, and W be the event that there are high winds. b) Calculate P[R] c) Calculate P[WnR] d) Calculate P[W] e) Calculate P[R|W]
3) It is determined that in a particular city, the probability of it raining on a given day is 7%. On days in which it is raining, there is a 65% chance that there are high winds, while on days in which it is not raining, there is a 12% chance of high winds. a) Draw a tree diagram to represent this data. Let R be the event that it is raining, and W be the event that there are high winds. b) Calculate P[R] c) Calculate P[WnR] d) Calculate P[W] e) Calculate P[R|W]
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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![3) It is determined that in a particular city, the probability of it raining on a given day
is 7%. On days in which it is raining, there is a 65% chance that there are high winds,
while on days in which it is not raining, there is a 12% chance of high winds.
a) Draw a tree diagram to represent this data. Let R be the event that it is raining,
and W be the event that there are high winds.
b) Calculate P[R]
c) Calculate P[WOR]
d) Calculate P[W]
e) Calculate P[R|W]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17bfaee3-5589-4a8b-830e-7127595d731c%2F667c95d2-603f-4035-9d96-fefdfd33b7cf%2Ft3o1gnp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) It is determined that in a particular city, the probability of it raining on a given day
is 7%. On days in which it is raining, there is a 65% chance that there are high winds,
while on days in which it is not raining, there is a 12% chance of high winds.
a) Draw a tree diagram to represent this data. Let R be the event that it is raining,
and W be the event that there are high winds.
b) Calculate P[R]
c) Calculate P[WOR]
d) Calculate P[W]
e) Calculate P[R|W]
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