Answer:
3.6 years
Step-by-step explanation:
Using the standard normal probability distribution table, we obtain the Zscore which is 10% to left of the distribution.
The Zscore gives, - 1.282
To obtain the number of years, let this be x ;
Recall, the Zscore formula :
Zscore = (x - μ) / σ
x = number of years
μ = 5.8
σ = 1.7
Zscore = (x - μ) / σ
-1.282 = (x - 5.8) / 1.7
-1.282 * 1.7 = x - 5.8
-2.1794 = x - 5.8
-2.1794 + 5.8 = x
x = 3.6206
x = 3.6 years
