Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
3.15 addd all of them! Then divide
Answer:
1. C
2. B
3. D
4. A
5. B
Step-by-step explanation:
Answer:
Check the explanation
Step-by-step explanation:
(a)
P-value of income and size is 0.0003 and 0.0001 respectively. Both are less than 0.05 level of significance. So these are significant ot the model. Option D is correct.
(b)
The model is
House_size = -1.6335+0.4485*income + 4.2615*family_size -0.6517*school
Here we have income = 85600/1000 = 85.6
family_size = 6
school = 13
So the predicted house size is
House_size = -1.6335+0.4485*85.6 + 4.2615*6 -0.6517*13=53.855
the predicted house size (in hundreds of square feet) is 53.86. hence, option B is correct.
3)
Here we have income = 100000/1000 = 100
family_size = 10
school = 16
So the predicted house size is
House_size = -1.6335+0.4485*100 + 4.2615*10 -0.6517*16=75.40
Residual : observed value- predicted value = 70 - 75.40 = -5.40
Option C is correct.
Answer:
A.) m = 1.5 | B.) p = -1 | C.) t = 2
Step-by-step explanation:
A.)
B.)
C.)
