Consider the sample space of all people living in the United States, and within that sample space, the following two events. ??=people who are male=people who are color‑blindA=people who are maleB=people who are color‑blind Suppose the following statements describe probabilities regarding these two events. Which of the statements describe conditional probabilities? Select all that apply. A.) There is a 9.1% chance that a randomly chosen person is color‑blind. B.) Eight point seven percent of people living in the United States are color‑blind males. C.)There is a 49.6% probability that a person is male or color‑blind. D.)The probability is 17.7% that a male is color‑blind. E.)Ninety‑five point six percent of color‑blind people are male. F.) Of people living in the United States, 49.2% are male.
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.
Consider the
Given Information:
people who are male
people who are colour-blind.
Suppose the following statements describe probabilities regarding these two events. Which of the statements describe conditional probabilities? Select all that apply.
Conditional probability is the likelihood of one event occurring given that another event has already occurred. It is given by the formula:
This tells us that the probability that a randomly selected person is a male given that he is colour blind. In other words, we restrict our attention to colour blind.
This tells us that the probability that a randomly selected person is colour blind given that the person is male. In other words, we restrict our attention to males.
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