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Nikitich [7]
3 years ago
9

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

d a standard deviation of 80. Find the credit score which separates the lower 80% from the top 20%. g
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84

The formula for z-score:

\to x = z \times  \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x=  778.2\\\\ \to x= 778

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