Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
Here,
x = 255
Putting the values
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%