Answer:
(a) σ² = 144
(b) s² = 12
Step-by-step explanation:
(a) Population variance σ² = ∑(X -
)² / N
The arithmetic mean 


σ² = 
= 
= 
= 
σ² = 144
(b) 

= 12
The product of 5 and x squared — 5(x)^2
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
Answer:
it would be (1,-3) because those point are in the shaded region. therefore it is a solution
Step-by-step explanation:
Well percents are probability, and probability is similar to theory. So i think its theoritical probability.
Hope this helps.