ulis pioi sinptive, negative or no relationship between average number of text m

Question

ulis pioi sinptive, negative or no relationship between average number of text messages per day and student's GPA? (c) Find the equation of the regression line. (d) Predict, to the nearest whole number, the test grade on Monday of a student who spent an averages o 60 minutes on-line during the weekend. 4, ( 1 0pt) NYC Tech Construction Department researched the sale of 110 apartment s in two high-rise buildings near the college. The buildings were labeled: Building A and building B. The buildings sold: 2-bedroom, 1-bedroom and studio apartments. The findings of the sales are indicated in the chart below Building names studio room 46 25 16 15 6 (a) Are the categories I-bedroom apartment and apartment in building B mutually exclusive? Why (b) Find the following probabilities: or why not? i) An apartment has 2 bedrooms. ii) An apartment is in building B given the apartment has 1-bedroom. iii) A 2-bedroom apartment or it is located in building A. Page 1 of 2 please turn page over

Explanation / Answer

4)a) No they are not mutually exclusive. Because the probability of their intersection is not equal to 0.

Because P(the categories 1- bedroom apartment and apartment in building B) = 15/110 = 0.136

B) i) P(an apartment has 2 bedrooms) = 8/110 = 0.073

ii) P(an apartment in building B | the apartment has 1 bedrooms) = P(an apartment in building B and the apartment has 1 bedroom)/(the apartment has 1 bedroom)

= 15/31 = 0.484

iii) P(a 2- bedroom apartment or it is located in building A)

= P(a 2-bed room apartment) + P(it is located in building A) - P(a 2-bed room apartment and it is located in building A)

= 8/110 + 65/110 - 3/110

= 70/110 = 0.636

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