7 Consider the data set below representing marks of students in a test. 25 45 20 16 18 39 33 51 13 12 51 46 31 19 56 38 46 25 33 16 56 28 69 35 50 25 36 37 22 39 3221 43 1727 38 13 44 54 15 42 50 42 46 37 49 58 40 44 55 40 54 48 40 30 12 42 39 43 47 30 26 40 22 40 38 20 36 12 38 15 28 35 20 30 51 46 20 56 35 45 30 44 42 59 24 2441 21 55 1744 34 12 15 35 12 11 15 22 A Construct a stem-and-leaf plot for the data set; B find the range and mode of the distribution C comment briefly on the shape of the distribution
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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