Probability Problem
Situation
If a chord is selected at random on a fixed circle what is the probability that its length exceeds the radius of the circle?
- Assume that the distance of the chord from the center of the circle is uniformly distributed.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the midpoint of the chord is evenly distributed over the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the end points of the chord are uniformly distributed over the circumference of the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75
Probability that a Large Shipment is Accepted or Not Accepted due to Defective Items
Problem
A stationery store has decided to accept a large shipment of ball-point pens if an inspection of 20 randomly selected pens yields no more than two defective pens. Find the probability that this shipment is...
- accepted if 5% of the total shipment is defective.
- not accepted if 15% of the total shipment is defective.
1 - Probability for cars to pass through a point on road in a 5-minute period
Problem
The number of cars passing a point on a road may be modelled by Poisson distribution. At an average, 4 cars enters the Caibaan Diversion Road in Tacloban City every 5 minutes. Find the probability that in a 5-minute period (a) two cars go past and (b) fewer than 3 cars go past.
Probability: A Family of Five Children
Problem
A family chosen at random has 5 children. What is the probability that...
- all are girls or all are boys?
- there are 3 boys and 2 girls?
- at least 1 is a boy?
- Read more about Probability: A Family of Five Children
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