Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
As we know that,
The matrix is a Markov chain
Let
The initial state vector be
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
∴ we get
Now,
∴ we get
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Divide by 12 BC it really be like that sometimes
Answer:
a) 20.9ft b)148.5ft c)98.2ft d)50.3
Step-by-step explanation:
for a, b and c you can use SOHCAHTOA
a) sin(8)=height/150 so height=150sin(8)
b)cos(8)=distance/150 rearrange the same way
c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle
d) subtract the value found in c from the value found in a
Answer:
I would say that answer is proportional
Step-by-step explanation: