Answer:
0.0001 = 0.01% probability of the Celtics winning eight straight championships.
Step-by-step explanation:
For each year, there are only two possible outcomes. Either the Celtics are the champions, or they are not. Each year is independent of other years. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
What would be the probability of the Celtics winning eight straight championships?
Each year, we have that
Eight straight championships: when n = 8. So
0.0001 = 0.01% probability of the Celtics winning eight straight championships.
Answer:
Step-by-step explanation:
Given that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students for a total of 1000 students.
a) Y = no of students in the class out of 20 selected at random
Y can take values as
Y 25 100 300 Total
freq 16 3 1 20
P(Y) 16/20 3/20 1/20 1
y*p 20 15 15 50
E(Y) = 50
b) X = size of student from which one student is taken at random
X 25 100 300 Total
No of classes 16 3 1 20
Total students
(X*no of classes) 400 300 300 1000
P(x) 0.4 0.3 0.3 1
X*P 160 90 90 240
E(x) =240
c) On an average, a student at this school is in a class with 240 students. On average, a class at this school has 50 students.
i.e. expectation of number of students in a class is 50 while expectation of a student having students in the class is 240
Answer:
24
Step-by-step explanation:
(-4) -6? well it equals 24 because a negative plus a negative equals a positive.
Hope my answer has helped you! If not i'm sorry.
For this question, first find the area of the original square.
30*30 = 900.
Next, find the length of the sides if it is increased by 20%.
30 = 100%.
3 = 10%
6 = 20%.
So, the new length would be 36 cm. Next, find the new area.
36 * 36 = 1296.
The original area was 900.
1296 - 900 = 396
(396/900) *100 = 44%
44% increase.
Hope this helps!
Answer:
4x + 31=43
Step-by-step explanation:
3+3+3+3+31=43