Answer:
0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 70
Standard Deviation, σ = 3
Sample size, n = 36
Let the average score of all pro golfers follow a normal distribution.
Formula:
P(score of the 36 golfers was between 70 and 71)



0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
5,000 Contains 0's up until the Hundreds value while (8*5000) 40,000 Contains 0's up until the Thousands value.
The exponents distribute over factors:

so, you have

Let's focus on each factor: applying the definition of negative exponents, you have

While for the power of 10, you can use the following rule
to write

So, the expression evaluates to
