BUS 232

Find the probability under the curve.

Name: Business Tutor
Address: Burnaby, BC, CA
Telephone: +1-604-916-5838
Price range: C$30–C$129

Move a boundary and watch the area change. Learn normal curves, z-scores and cut-offs, then connect counts, equally likely values and waiting times.

Continuous values · Step 1 of 15

Measure a range, not a single point

Call length in minutes

Mean = 12Boundary 1 = 12Boundary 2 = 14

Shaded probability = 0.2475. Probabilities include the full tails beyond the visible curve.

Continuous values · Step 1 of 15

Measure a range, not a single point

Time, distance and weight can take any value in an interval. They are continuous; a count of customers is discrete. A density curve describes where measurements tend to fall. Its total area is 1. The area over a range is that range's probability.

Try it: Shrink the interval width to zero. A single point has no area, even where the curve is tall.

Interval width (minutes)2.00

Total area

1.0000

Interval

0.2475

P(X = 12)

0.0000

P(12 ≤ X ≤ 14.00) = F(14.00) − F(12). Here F means area to the left.

In Excel: =NORM.DIST(14, 12, 3, TRUE)-NORM.DIST(12, 12, 3, TRUE)

Check yourself

Does including an endpoint change a continuous probability?

Exam coming up and normal probabilities still feel confusing?

Bring your problem sets. We work through them together until every type feels routine.

Book a session Next toolNext: Sampling and the central limit theorem

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Find the probability under the curve.

Measure a range, not a single point

Measure a range, not a single point

Curve height versus point probability

Exam coming up and normal probabilities still feel confusing?

Questions, answered.

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