Probability that a Point Inside a Square Will Subtend an Obtuse Angle to Adjacent Corners of the Square
Problem
Point P is randomly chosen inside the square ABCD. Lines AP and PB are then drawn. What is the probability that angle APB is obtuse?
Situation
A beam of uniform cross section whose flexural rigidity EI = 2.8 × 1011 N·mm2, is placed on three supports as shown. Support B is at small gap Δ so that the moment at B is zero.
1. Calculate the reaction at A.
| A. 4.375 kN | C. 5.437 kN |
| B. 8.750 kN | D. 6.626 kN |
2. What is the reaction at B?
| A. 4.375 kN | C. 5.437 kN |
| B. 8.750 kN | D. 6.626 kN |
3. Find the value of Δ.
| A. 46 mm | C. 34 mm |
| B. 64 mm | D. 56 mm |
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.
Poisson Probability Distribution
The number of occurrences in a given time interval or in a given space can be modeled using Poisson Distribution if the following conditions are being satisfied:
- The events occur at random.
- The events are independent from one another.
- The average rate of occurrences is constant.
- There are no simultaneous occurrences.
The Poisson distribution is defined as
$P(x) = \dfrac{e^{-\mu} \mu^x}{x!}$
where x is a discrete random variable
μ = the mean number of occurrences
- Read more about Poisson Probability Distribution
- Log in or register to post comments
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
- Log in or register to post comments
09 - Number of Leaps to Take to Catch the Lead
Problem
A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat’s. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat?
- Read more about 09 - Number of Leaps to Take to Catch the Lead
- Log in or register to post comments
Problem
A certain businessman, who is always in a hurry, walks up an ongoing escalator at the rate of one step per second. Twenty steps bring him to the top. Next day he goes up at two steps per second, reaching the top in 32 steps. How many steps are there in the escalator?
| A. 80 | C. 50 |
| B. 60 | D. 70 |
- Read more about Number of Steps in the Escalator
- Log in or register to post comments
Poker Hand: Probability that Five Cards are of the Same Suit
Problem
In a 5-card poker hand, what is the probability that all 5 are of the same suit?
Recent comments
is it not…