78. 72. In designing your new home entertainment center, you have a choice of seven different flat-screen TVs, nine different DVD players, and eleven different speaker sets. How many different systems could you design? possible? tac the po 73. The car model you are considering comes with or without air conditioning, with or without a sun roof, with or without a CD player, and in eight stock colors. How different ver- sions of the car are available? a. b. many C. 74. Gender Politics. The following table gives the gender and political party of the 100 delegates at a political convention. Suppose you encounter a delegate at random. H. 79. P Women Men Republicans 21 28 Democrats 25 16 Independents 6. 4 IN a. What is the probability that you meet a woman? 80. b. What is the probability that you meet an Independent? 0 c. What is the probability that you do not meet a Democrat? d. What is the probability that you meet a female Republican? 81. e. What is the probability that you meet someone who is not a male Democrat? 75. Senior Citizens. In 2010, there were 40 million people over 65 years of age out of a U.S. population of 310 million. By 2050, it is estimated that there will be 82 million people over 65 years of age out of a U.S. population of 439 million. Would your chances of meeting a person over 65 at random be 82 greater in 2010 or 2050? Explain. 83 76
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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