Answer:
Step-by-step explanation:
The exponential growth formula is 
Where 'a' signifies the initial population
r is the growth rate and x represents time in years
maintaining a constant population of 32,000. Thus, the initial population is 32,000
with an annual increase of 8%. The growth rate is 8%, equivalent to 0.08
a = 32000 and r = 0.08
Now, substituting all the values into the general formula
The probability that John's monthly commission from the jewelry store lies between $9,000 and $11,000 is 38.3%. Step-by-step explanation: In a Normal Distribution, which is a continuous probability distribution symmetric around the mean, we analyze the probability of John's commission falling in the specified range. The z-scores for the values in question correspond to 0.50 and -0.50, leading to probabilities of approximately 0.6915 and 0.3085 respectively. Consequently, the computed probability that John's commission is between $9,000 and $11,000 is 38.3%.
