Answer: 0.49668352
Step-by-step explanation:
Given : The unemployment rate : p = 20%= 0.20
Sample size : n =8
Let x be the binomial variable that represents the number of unemployed residents.
Binomial probability distribution formula :
The probability that at least two of the residents were unemployed :
Hence, Required probability =0.49668352
Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
Now, solve this.
Therefore, the future value is 371.293 algae.