Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

 
        
             
        
        
        
Answer:

Step-by-step explanation:
The amplitude (A) and the mean (M) temperature are given by:

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

 
        
             
        
        
        
Answer:
61.5%
Step-by-step explanation:
Let's find all the demographics first:
Sophomores in the class(total 15):
Female: 5
Male : 10
Freshmen in the class(total 11):
Female: 3
Male: 8
There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.
 
        
             
        
        
        
Answer:
(0,2.5)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The correct answer is D
Step-by-step explanation: