Ratings Game Suppose the following data represent the ratings (on a scale from 1

Question

Ratings Game Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating Stars Frequenc 2 3 4 5 2988 2776 3900 4141 10079 a. Construct the discrete probability distribution for the random variable P(x 2 3 4 5 b. Compute the mean and standard deviation of the random variablex c. Which of the following is the correct interpretation for the mean of the random variable x? i. The observed value of an experiment will be equal to the mean ii. The observed value of an experiment will be less than the mean iii. As the number of experiments increase, the mean of the iv. As the number of experiments decrease, the mean of the of the random variable in most experiments of the random variable in most experiments observations will approach the mean of the random variable observations will approach the mean of the random variable

Explanation / Answer

Ans:

a)

b)mean=3.6509

standard deviation=sqrt(2.0543)=1.433

c)As,the number of experiments increase,the mean of the observations will approach to the mean of random variable.

Option iii is correct.

x frequency,f p(x) x*p(x) (x-3.6509)^2*p(x) 1 2988 0.1251 0.1251 0.8791 2 2776 0.1162 0.2325 0.3168 3 3900 0.1633 0.4899 0.0692 4 4141 0.1734 0.6935 0.0211 5 10079 0.4220 2.1100 0.7681 Total 23884 1 3.6509 2.0543

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