A popular game at many carnivals is the “Test Your Strength” game, in which the objective is to strike a pad as hard as possible with a big mallet in hopes of ringing the bell. Modern electronic versions of these games give scores to people’s efforts as a number of stars that light up. Suppose that this chart gives the distribution of scores for one such strength-testing game:1 star 2 stars 3 stars 4 stars 5 stars 0.29 0.48 0.13 0.07 0.??What is the probability that a randomly selected player will ring the bell (earn 5 stars)?
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.
A popular game at many carnivals is the “Test Your Strength” game, in which the
objective is to strike a pad as hard as possible with a big mallet in hopes of ringing the
bell. Modern electronic versions of these games give scores to people’s efforts as a
number of stars that light up. Suppose that this chart gives the distribution of scores
for one such strength-testing game:
1 star 2 stars 3 stars 4 stars 5 stars
0.29 0.48 0.13 0.07 0.??
What is the probability that a randomly selected player will ring the bell (earn 5 stars)?
Obtain the probability that a randomly selected player will ring the bell earn 5 stars.
The probability that the randomly selected player will ring the bell earns 5 stars is obtained below:
From the information, given that
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