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:
So,
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
Answer:
No he is wrong
Step-by-step explanation:
Evan was not correct 125% means he over doubled his time doing homework. To double his time he would need 40 hours, and he only did 25.
Increase: 5 hrs
Percent of increase: 20%, because 5/25=20%