1. Insurance companies charge young drivers more for automobile insurance because they tend to have more accidents than older drivers. To make this point, an insurance representative first determines that only 15% of licensed drivers are age 20 or younger. Because this age group makes up only 15% of the drivers, it is reasonable to predict that they should be involved in only 15% of the accidents. In a random sample of 80 accident reports, however, the representative finds 26 accidents that involved drivers who were 20 or younger. Is this sample sufficient to show that younger drivers have significantly more accidents than would be expected from the percentage of young drivers? Use a two-tailed test with'a = .05.
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.
i dont know how to do this tutorial question. added in image . its a binomial testing
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BHPY2044 Statistical Te
Tutorial Questions
Lecture
1. Insurance companies charge young drivers more for
automobile insurance because they tend to have more
accidents than older drivers. To make this point, an
insurance representative first determines that only 15%
of licensed drivers are age 20 or younger. Because this
age group makes up only 15% of the drivers, it is
reasonable to predict that they should be involved in
only 15% of the accidents. In a random sample of 80
accident reports, however, the representative finds 26
accidents that involved drivers who were 20 or
younger. Is this sample sufficient to show that younger
drivers have significantly more accidents than would be
expected from the percentage of young drivers? Use a
two-tailed test with a = .05.
ENG
3:48 PM
4/3/2021
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