Answer:
65
Step-by-step explanation:
2 - 3 ( 5 + 2 ) ( 5 - 8 )
= 2 - 3 ( 7 ) ( -3 )
= 2 + 63
= 65
Answer:
0.230
Step-by-step explanation:
Probability of an adult being in excellent health = p = 37% = 0.37
- There are only 2 outcomes of the event i.e. in excellent health or not.
- Number of trials is fixed i.e. n = 13
- Probability of success is constant
- Events are independent i.e. answer of individuals is not influenced by answers of others
This satisfies all the 4 conditions that are needed for a Binomial Experiment. Hence, we can solve the given question using Binomial Probability.
p = 0.37
q = 1 - p = 1 - 0.37 = 0.63
n = 13
We need to find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health i.e. P( x ≤ 3 )
P( x ≤ 3 ) = P(0) + P(1) + P(2) + P(3)
The formula of Binomial probability is:
![P(x)=^{n}C_{x}(p)^{x}(q)^{(n-x)}](https://tex.z-dn.net/?f=P%28x%29%3D%5E%7Bn%7DC_%7Bx%7D%28p%29%5E%7Bx%7D%28q%29%5E%7B%28n-x%29%7D)
So,
![P(0)=^{13}C_{0}(0.37)^{0}(0.63)^{(13-0)}=0.0025\\\\ P(1)=^{13}C_{1}(0.37)^{1}(0.63)^{(13-1)}=0.0188\\\\ P(2)=^{13}C_{2}(0.37)^{2}(0.63)^{(13-2)}=0.0663\\\\ P(3)=^{13}C_{3}(0.37)^{3}(0.63)^{(13-3)}=0.1427](https://tex.z-dn.net/?f=P%280%29%3D%5E%7B13%7DC_%7B0%7D%280.37%29%5E%7B0%7D%280.63%29%5E%7B%2813-0%29%7D%3D0.0025%5C%5C%5C%5C%20P%281%29%3D%5E%7B13%7DC_%7B1%7D%280.37%29%5E%7B1%7D%280.63%29%5E%7B%2813-1%29%7D%3D0.0188%5C%5C%5C%5C%20P%282%29%3D%5E%7B13%7DC_%7B2%7D%280.37%29%5E%7B2%7D%280.63%29%5E%7B%2813-2%29%7D%3D0.0663%5C%5C%5C%5C%20P%283%29%3D%5E%7B13%7DC_%7B3%7D%280.37%29%5E%7B3%7D%280.63%29%5E%7B%2813-3%29%7D%3D0.1427)
Thus,
P( x ≤ 3 ) = P(0) + P(1) + P(2) + P(3) = 0.0025 + 0.0188 + 0.0663 + 0.1427
P( x ≤ 3 ) = 0.2303
Therefore, the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health is 0.230
B. when something is at rest it has balanced forces. And unbalanced when it's moving.<span />