Establish a transition matrix:
The possible path are:
sunny -> cloudy -> cloudy -> sunny
-> sunny -> sunny
-> sunny -> cloudy -> sunny
-> sunny -> sunny
Find and add all the paths using the transition matrix T:
0.3*0.5*0.5 + 0.3*0.5*0.7 + 0.7*0.3*0.5 + 0.7*0.7*0.7 = 0.628
Answer:
(A) P (D > 0) = 99.38%
(B) P (D > 15) = 10.56%
Step-by-step explanation:
The random variable D = difference, is defined as the difference between the reading test scores after and before the program.
The random variable <em>D </em>follows a normal distribution with mean, and standard deviation, .
(A)
Compute the probability that the children showed any improvement, i.e.
P (D > 0):
Use the standard normal random variable to determine the probability.
The percentage of children showed any improvement is:
0.9938 × 100 = 99.38%
Thus, 99.38% of children showed improvement.
(B)
Compute the probability that the children improved by more than 15 points, i.e. P (D > 15):
Use the standard normal random variable to determine the probability.
The percentage of children improved by more than 15 points is:
0.1056 × 100 = 10.56%
Thus, 10.56% of children showed improvement by more than 15 points.
Answer:
300
Step-by-step explanation:
30+30+w+x+y+z = 360 (all angles round a point add up to 360)
Simplifying :
60 + w+x+y+z = 360
Subtracting 60 from both sides :
w+x+y+z = 300
Hope this helped and brainliest ?
We certainly wish him all the best, and caution him to be careful.