Please answer all the question. I will rate you.

Question 1)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

What is the compound probability associated with Path A? [COMMENTS & HINTS: Express the probability precisely without insignificant digits, using the percent symbol.]

Question 2)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

What is the compound probability associated with Path B? [COMMENTS & HINTS: Express the probability precisely without insignificant digits, using the percent symbol.]

Question 3)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

What is the compound probability associated with Path C? [COMMENTS & HINTS: Express the probability precisely without insignificant digits, using the percent symbol.]

Question 4)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

What is the compound probability associated with Path D? [COMMENTS & HINTS: Express the probability precisely without insignificant digits, using the percent symbol.]

Question 5)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

Which question summarizes the goal for the posterior probability for this context? Answer wich option from belo

		a) What is the probability a male driver is at least 30years of age,given that he gets a speeding ticket?
		b) What is the probability a male driver is atleast30years of age,given that he does notget a speeding ticket?
		c) What is the probability a male driver is under30years of age,given that he does notget a speeding ticket?
		d) What is the probability a male driver is under30years of age,given that he gets a speeding ticket?

Question 6)

According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old. Separate statistics indicate that 16% of male drivers under age 30 have received a ticket for speeding, whereas only 10% of male drivers who are at least 30 years old have gotten such a ticket. If a male driver ticketed for speeding is selected at random from the agency's records, what is the chance that he is under 30 years old?

	Age of		Speeding
	Male Driver	Ticket?
			Yes		Path A	Speeding ticket, given male driver under 30
	Under 30
			No		Path B	No speeding ticket, given male driver under 30
			Yes		Path C	Speeding ticket, given male driver at least 30
	At least 30
			No		Path D	No speeding ticket, given male driver at least 30

What is the final answer to the goal question? [COMMENTS & HINTS: Express the probability rounded to two decimal places if necessary, using the percent symbol.]

QUESTION 7

Martha drives three different intercity bus routes during the week. She spends 45% of her work time driving on the #56 local service route, 35% of her work time driving the #34 local service line, and 20% of her work time driving the #87 express service route. She knows from past experience that the likelihood that she will get stuck in a traffic jam on each line is about 60%, 50% and 90%, respectively. If she checks in with a dispatcher to advise that she is indeed stuck in a traffic delay, what is the chance that she is currently driving her bus along the #87 route?

How many branches or pathways would a tree diagram representing this problem context have?

		2
		4
		6
		8

Answer with the correct option: a) 2 b )4 c)6 d)8

Question 8)

Martha drives three different intercity bus routes during the week. She spends 45% of her work time driving on the #56 local service route, 35% of her work time driving the #34 local service line, and 20% of her work time driving the #87 express service route. She knows from past experience that the likelihood that she will get stuck in a traffic jam on each line is about 60%, 50% and 90%, respectively. If she checks in with a dispatcher to advise that she is indeed stuck in a traffic delay, what is the chance that she is currently driving her bus along the #87 route? [COMMENTS & HINTS:Express the answer precisely without insignificant digits,using a percent symbol. A terminating decimal is anticipated!]

QUESTION 9)

Ex4 The Student Activities Office at Saint Patrick's College has historically found that the following data describes the participation rates of undergraduates in intramural sports.

Undergraduate Class	Percentage of Student Population	Percentage of Participants in Intramural Athletics
First-Years/Freshmen	40%	10%
Sophomores	30%	20%
Juniors	20%	30%
Seniors	10%	40%

What is the chance that an undergraduate student selected at random who plays intramural athletics is a senior?