Answer:
0.6206
Step-by-step explanation:
We would be using the Z score probability to answer this question
The formula to find the is given as :
is z = (x-μ)/σ,
x = observed value
μ = mean or average value
σ = Standard deviation
To find the probability that between 3,000 and 4,800 acres will be burned in any given year
Step 1
Find the probability that that between 3,000 will be burned in any given year
z = (x-μ)/σ,
x = observed value = 3000
μ = mean or average value = 4500
σ = Standard deviation = 780
z = (3000- 4500)/780
z = -1.92308
Step 2
Find the probability that that between 4,800 will be burned in any given year
z = (x-μ)/σ,
x = observed value = 4800
μ = mean or average value = 4500
σ = Standard deviation = 780
z = (4800- 4500)/780
z =0.38462
Step 3
Using the Z score normal distribution table:
= P(Z <0.38462) - P(Z < - 1.92308)
= P(-1.92308 < Z < 0.38462)
Using the Z score normal distribution table:
P(z) -1.92308 = 0.02743
P(z) 0.38462 = 0.64803
Therefore, the probability that between 3,000 and 4,800 acres will be burned in any given year
0.64803 - 0.02743
= 0.6206