Probability and Random Variables in Statistics, Exams of Nursing

Key concepts in probability and random variables, which are fundamental topics in the field of statistics. It provides definitions and explanations for important terms such as probability, probability functions, probability density functions, and z-scores. The document also discusses the relationship between probability and normal distribution, highlighting the use of normal tables to extract probabilities for standard normal random variables. This information is crucial for understanding statistical analysis and modeling, and would be valuable for students studying statistics at the university level. The document could be used as study notes, lecture notes, or a summary to prepare for exams, assignments, or university essays related to probability and random variables in statistics.

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2023/2024

Available from 10/16/2024

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Statistics Week 4
____________ is a measure of likeliness of an event occuring - correct answer
probability
The probability of all events together must be _ - correct answer 1
The probability of an event = 1- the probability the event will ___ happen - correct answer
not
The probability that at least ___ event will occur = 1- the probability that no event will occur - correct
answer one
The probability of at least one of the two events occuring = the probability of one event + the probability
of the other event - the probability that _____ events will occur - correct answer
both
- must be non-negative
- cannot be greater than 1
- all situations together is 1 - correct answer probability
______ __________ are as set of possible values from a random experiment and their associated
probabilities - correct answer random variables
_____________ __________ are used to record the correspondence between the outcome values of a
variable and their probabilities - correct answer probability functions (pf)
_____________ ________ _________ (pdf) is a curve that measures the probability for a continuous
- the area under the curve is equivalent to the probability for an interval - correct answer
probability density function
pf2

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Statistics Week 4

____________ is a measure of likeliness of an event occuring - correct answer probability The probability of all events together must be _ - correct answer 1 The probability of an event = 1- the probability the event will ___ happen - correct answer not The probability that at least ___ event will occur = 1- the probability that no event will occur - correct answer one The probability of at least one of the two events occuring = the probability of one event + the probability of the other event - the probability that _____ events will occur - correct answer both

  • must be non-negative
  • cannot be greater than 1
  • all situations together is 1 - correct answer probability ______ __________ are as set of possible values from a random experiment and their associated probabilities - correct answer random variables _____________ __________ are used to record the correspondence between the outcome values of a variable and their probabilities - correct answer probability functions (pf) _____________ ________ _________ (pdf) is a curve that measures the probability for a continuous
  • the area under the curve is equivalent to the probability for an interval - correct answer probability density function

_ = X- mean/ standard deviation - correct answer Z _-scores measure the number of standard deviations between the mean and some particular data value

  • correct answer Z ______ tables can be used to extract probabilities for standard normal random variables - correct answer normal If the p-value is _ 0.05, then it is not normally distributed - correct answer <