Question

In the following probability distribution, the random variable represents the number of activities a part of a toth grade students involved Complete parte (a) through inbow PM) 0.4470.1310279 0.0790054 (a) Verity that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabiliosis (b) Graph the discrete probability distribution. Choose the correct grach below. and each probability between 0 and 1, indusve 05 (c) Compute and interpret the mean of the random variable The mean is activities (Type an integer or a decimal. Do not round)

Answer 1

a) The sum, ZPcx) = 1 so, This is a discrete prob. dislejbution because the sum of the probabilities is [1] and each probability is between 0 and 1 (b) The graph ® is correct @ Mean, E%) = EXP(X) - (0x0.447)+(1 80.131) + (2x0.279) + (3x0.079) + X0.064) = 0 + 0.13 1 +0.558+ 0,237 +0.256 = 1.182 The mean is 11.182 ] activities.