At a particular college for nursing, 82% of incoming freshmen nursing students are female and 18% are male. The past 5 years' history records indicate that 70% of the entering female students will graduate with a BSN degree, while 84% of the male students will obtain a BSN degree. If a randomly selected freshman nursing student is selected, find the following probabilities. (Enter your answers to three decimal places.)
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.
a) P(student will graduate | student is female)
b) P(student will graduate and student is female)
c) P(student will graduate | student is male)
d) P(student will graduate and student is male)
e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.
f). The
- The term given refers to the
sample space of all students, while the term and refers to restricting the sample space to females only. - The term and refers to the sample space of all students, while the term given refers to restricting the sample space to females only.
- These probabilities are the same.
- This is by chance. These probabilities are typically the same.
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