23. (a) A 20 ft ladder leans against a building. The angle between the ground and the ladder is 60°. How high does the ladder reach on the building? (b) From the top of a 200 ft lighthouse, the angle of depression to a ship in the ocean is 30°. How far is the ship from the base of the lighthouse? (c) A 600 ft guy wire is attached to the top of a communications tower. If the wire makes an angle of 60° with the ground, how tall is the communications tower? (d) An airplane is flying at an elevation of 5100 ft directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane and the angle of depression to one car is 30° and to the other is 60°. How far apart are the two cars? (e) An airplane is flying at an elevation of 9000 ft directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 60° and to the other is 45°, how far apart are the cars? 40V3 23. (a) ft 3 (b) 200/3ft (c) 300/3ft (d) 6800/3ft (e) (9000 – 3000v3)ft
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.
Part A,B, and C
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