-. A football is kicked from the ground with an initial velocity of 48 feet per second. How
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Please refer to the diagrams to understand these answers:
CUBE (1):
Paint on cube (1) contains 3.125% of the paint.
CUBE (2):
Paint on cube (2) contains 2.083% of the paint.
CUBE (3):
Paint on cube (3) contains 1.042% of the paint.
CUBE (4):
Contains 0% of the paint.
-----------------
There would be four different types of cubes which would contain different amounts of paint.
Some cubes in fact would have no paint (cube (4)). Now we can check if our results are correct by counting how many cube (1)'s, cube (2)'s, cube (3)'s and cube (4)'s there are...
Cube (1) x 8 + Cube (2) x 24 + cube (3) x 24 + cube (4) x 8
= 3.125% x 8 + 2.083% x 24 + 1.042% x 24 + 0% x 8
= 1
= 100%
CUBE (1):
Paint on cube (1) contains 3.125% of the paint.
CUBE (2):
Paint on cube (2) contains 2.083% of the paint.
CUBE (3):
Paint on cube (3) contains 1.042% of the paint.
CUBE (4):
Contains 0% of the paint.
-----------------
There would be four different types of cubes which would contain different amounts of paint.
Some cubes in fact would have no paint (cube (4)). Now we can check if our results are correct by counting how many cube (1)'s, cube (2)'s, cube (3)'s and cube (4)'s there are...
Cube (1) x 8 + Cube (2) x 24 + cube (3) x 24 + cube (4) x 8
= 3.125% x 8 + 2.083% x 24 + 1.042% x 24 + 0% x 8
= 1
= 100%
Answer:
The probability of number who disapprove of smoking pot daily is from 7 to 9 is 0.6293.
The probability of number who disapprove of smoking pot daily is at most 5 is 0.038601
The probability of number who disapprove of smoking pot daily is is not less than 8 is 0.723655.
Step-by-step explanation:
The number of seniors that disapprove smoking pot daily X follows binomial distribution with n=12 and p=0.7 because
1. The opinion of seniors are independent.
2. There are two possible outcome approve or disapprove.
3. The probability of seniors disapproves smoking pot daily is constant for each trail i.e. p=0.7.
4. The opinion is asked from 12 senior i.e. fixed number of trails.
The probability of the number of seniors that disapprove smoking pot daily can be computed as
Here, n=12, p=0.7 and q=0.3.
P(number who disapprove of smoking pot daily is from 7 to 9)=P(7≤X≤9)=?
P(7≤X≤9)=P(X=7)+P(X=8)+P(X=9)
= 0.158496
= 0.231140
= 0.239700
P(7≤X≤9)=0.158496+0.231140+0.239700
P(7≤X≤9)=0.6293
The probability of number who disapprove of smoking pot daily is from 7 to 9 is 0.6293.
P(number who disapprove of smoking pot daily is at most 5)=P(X≤5)=?
P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
= 0.000001
= 0.000015
= 0.000191
= 0.001485
= 0.007798
= 0.029111
P(X≤5)=0.000001+ 0.000015+ 0.000191+ 0.001485+ 0.007798+ 0.029111
P(X≤5)=0.038601
The probability of number who disapprove of smoking pot daily is at most 5 is 0.038601.
P(number who disapprove of smoking pot daily is not less than 8)=P(X≥8)=?
P(X≥8)=1- P(X<8)
P(X≥8)= 1-P(X≤7)
P(X≤7)=P(X≤5)+P(X=6)+P(X=7)
= 0.079248
= 0.158496
P(X≤7)=0.038601+ 0.079248+ 0.158496
P(X≤7)=0.276345
P(X≥8)=1-0.276345
P(X≥8)=0.723655
The probability of number who disapprove of smoking pot daily is is not less than 8 is 0.723655.