Q 2(a) Suppose you conduct a series of experiments, each of which consists of tossing a fair coin 6 times. Let X be the number of heads. In each of the following questions, give your reasoning. (iv) What is P(the first experiment where X=6 is the tenth)? What is P( X > 4)? (vi) What are the mean and variance of X?
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.
![Q 2(a)
Suppose you conduct a series of experiments, each of which consists of tossing a
fair coin 6 times. Let X be the number of heads.
In each of the following questions, give your reasoning.
(iv)
(v)
(vi)
What is P(the first experiment where X=6 is the tenth)?
What is P(X> 4)?
What are the mean and variance of X?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5f5ce6f-44db-4b29-a891-efbcec7307ad%2Fbbd5df0a-6b37-4794-93e0-74cab9bad411%2F8ht4zxf_processed.png&w=3840&q=75)
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