Question

UUTUU and variable x represents the number of activities a part of a K to 5th grade students involved in Com per ta. 1880311702471 097 0. b o Compute and interpret the mean of the random variablex mean is 1.775 activities an integer or a decimal. Do not round) ch of the following interpretations of the moon is correct? As the number of experiments decreases, the mean of the observations will approach the mean of the random variati 3. The observed value of an experiment will be equal to the mean of the random variable in most experiments The observed value of an experiment will be less than the mean of the random variable in most experiments D As the number of experiments increases, the mean of the observations will approach the mean of the random variable Compute the standard deviation of the random variablex standard deviation is activities mund to one decimal place as needed.)

Answer 1

a) Graph A is correct

X P(X) X.P(X) Χ2.P(X) Ο Ο.155 Ο 1 0.311 0.31 0.31 2 0.247 0.49 0.98 3 0.178 0.53 1.59 4 0.109 0.44 1.76 Στ.P(x) = 1.77,Σ2 P(x) = 4.64

Since we know that,
$\\b) Mean = \sum x.P(x) = 1.77$
c) D. As the number of experiments increases, the mean of the observations will approach the mean of the random variables.
$\\d) Variance = \sum x^2.P(x) - \left(\sum x.P(x)\right)^2 = 1.5071 \\Standard\;deviation = \sqrt{\sum x^2.P(x) - \left(\sum x.P(x)\right)^2} = 1.2276$
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