In ships' navigation, due north is O degrees, and the heading (i.e. direction) the ship is traveling is the amount of rotation clockwise from due north. Thus, a heading of 20 degrees means traveling at 20 degrees clockwise from due north. A ship leaves port traveling at 10 kn (knots. 1 knot is 1 nautical mile per hour) at a heading of 30 degrees. After two hours, the ship turns to a heading of 100 degrees and travels at 15 kn. The ship stays on this course for three hours. At the end of this time (ie, 5 hours after the ship leaves port), how far is the ship from port, and what is the heading the ship would have to travel at to return to port from this point? Assume the surface of the ocean is perfectly flat.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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