Probability The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). Weapon Handgun Rifle 0.474 0.026 Shotgun Unknown firearm 0.034 0.144 Knives 0.132 Hands, fists, etc. 0.055 Other 0.135 U D. Tes, uie ruies requireu ior a provavimy mouer dre DOUT met. (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? P(rifle or shotgun) = 0.060 (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. OB. If 1000 murders were randomly selected, we would expect about 60 of them to have resulted from a rifle or shotgun. (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = 0.534 (Type a decimal rounded to three decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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