A local news story claims that 53% of high school males agree with the statement "I am ol girl playing on the football team because there is not a football team for girls." To investig claim, an SRS of 100 males from a large local high school is selected. In the sample, 38 m agreed with the statement. We used technology to simulate choosing 240 SRSS of size n = from a population of males where 53% agreed with the statement. The dotplot shows p sample proportion of males who agree with the statement for each of the 240 samples. 0.35 0.40 0.45 0.50 0.55 p= the sample proportion of males who agree with the statement 0.60 0.65 0.70 Is there convincing evidence that less than 53% of all males at the school agree with the statement? O Yes, 38% is less than 53% so this proves that the claim made by the news story is false. O No, the sampling distribution is centered at 0.53, so this validates the claim made in the news story. O No, 38% is a plausible value based upon the dotplot, so we cannot reject the claim made in the news O Yes. It would be very surprising to get a sample proportion of p = 0.38 or less in an SRS of size 100 v = 0.53. O No, because p = 0.53 was one of the most common values in the sampling 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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