Question

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. Complete parts (a) through (d) below. Stars 1 2 3 4 5 Frequency 2363 2679 4222 3688 10,166 (a) Construct a discrete probability distribution for the random variable x. Stars (x) P(x) 1 2 3 4 5 (Round to three decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OB. Oc. OD. 0.5- 0.4 0.5 0.4- 0.3- 0.2- 0.5- 0.4- 0.3- 0.2 0.57 0.4- 0.34 0.2- a a 0.3- 0.2- 0.1- 0.1- 0.1- 0.1- 0- 0- 0- 1 2 3 4 5 1 2 3 4 5 1 2 3 4 1 2 3 4 5 (c) Compute and interpret the mean of the random variable x. The meaninote Click to select your answer(s). ?

Answer 1

Solution a) Discrete Probability distribution Probability = frequency Total frequency :: Stars (W 1 Plo O: 1022 0.1159 0.1826 ~ 0.102 ř 0.116 2 3 0.183 4 0:1595 ♡ 0.160 0.440 5 0.4397 b) Graph B. c) Mean random wariable EW= Expo 3.7183 ř 3.7 The observed value of an experiment will be equal to Experimesite the mean the random variable in most FC Scanned with CamScanner

d) stardard deviation (3718373 Variance = ELX2) –E(X)]2 ELX2) {xi² Placi -n2 157537 19279 Variance = 1.9279 standard deviation = 1- 3885 1-4 CScanned with CamScanner