800 Days3 = Over 90 4) If a selected home takes under 30 days or over 90 days to

Question

800

Days3 = Over 90

4) If a selected home takes under 30 days or over 90 days to sell, what is the probability its initial asking price is under $150,000 or over

5) What is the probability a selected home takes under 30 days to sell?

6)Assuming a selected home’s initial asking price is between $200,000 and $250,000, what is the probability it takes 90 days or less to sell?

7) What is the probability a selected home takes at most 90 days to sell or its initial asking price is between $150,000 and $250,000?

8)What is the probability a selected home's initial asking price is at most $250,000 and it takes between 30 and 90 days to sell?

8B) Event A = Selected home's intial asking price is at most $250,000.

Event B = Selected home takes between 30 and 90 days to sell.

Are events A and B independent?

If independent, [__] = [__]

since, [__] (= or does not =) [__], these events are [independent or dependent]

9) Given a selected home’s initial asking price is no more than $250,000, what is the probability it takes 30 days or more to sell?

10) What is the probability a selected home’s initial asking price is over $199,999?

11) What is the probability a selected home takes at least 30 days to sell and its initial asking price is under $200,000?

11B)

Event A = Selected home takes at least 30 days to sell.

Event B = Selected home's initial asking price is under $200,000.

Are events A and B mutually exclusive?

If mutually exclusive, [__] = [__]

since, [__] (= or does not =) [__], these events are (not mutually exclusive or mutaully exclusive)

Count of Days Price Days 1 2 3 4 Grand Total 1 69 71 63 73 276 2 64 74 56 59 253 3 61 68 82 60 271 Grand Total 194 213 201 192

800

Explanation / Answer

4)If a selected home takes under 30 days or over 90 days to sell, what is the probability its initial asking price is under $150,000 or over =(276+271)/800=0.68375

5)probability a selected home takes under 30 days to sell=276/800=0.345

6)probability it takes 90 days or less to sell, given selected home’s initial asking price is between $200,000 and $250,000 =(63+56)/201 =0.59204

7)probability a selected home takes at most 90 days to sell or its initial asking price is between $150,000 and $250,000 =(276+253+82)/800=0.76375

8) probability a selected home's initial asking price is at most $250,000 and it takes between 30 and 90 days to sell

=((64+74+56)/800=0.2425

8B)as AnB) =0.2425

and P(A) =(194+213+201)/800 =0.76

P(B) =253/800=0.31625

as P(A)*P(B) =0.24035; which is not equal to P(AnB).

hence not independent.

if independent P(AnB) =P(A)*P(B)

sincce P(AnB) not equalt to P(A)*P(B) they are not independent.

9)Given a selected home’s initial asking price is no more than $250,000, probability it takes 30 days or more to sell

=(64+74+56+61+68+82)/(194+213+201)=0.66618

10)probability a selected home’s initial asking price is over $199,999 =(201+192)/800=0.49125

11)probability a selected home takes at least 30 days to sell and its initial asking price is under $200,000

=(64+74+61+68)/800=0.33375

11B)P(A) =(253+271)/800 =0.655

P(B) =(194+213)/800=0.50875

fro if mutually exclusice P(AnB) =0

since  P(AnB) not equal to 0; not mutually exclusive

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