Question

1. Compute the mean, variance and standard deviation of the of the following discrete probability distribution: Probability.P(x) х.р(x) (X-Px) (X-u) (X- 1 0.2 20.4 3 0.3 40.1 a. μ b. 2 = C.= 2. The information below is the number of daily emergency assists made to skiers by the volunteer ski team at Alpine Ski Lodge for the last 50 days. To explain, there were 22 days on which there were 2 emergency assists, and 9 days on which there were 3 emergency assists Number of Probability distribution Frequency (X-upx) Calls (X-H) X.pр(x) 18 2 10 3 22 49 5 1 TOtal 50

Answer 1

The details for the second question is not complete but I answered which is shown in the image.

For any doubt or clarification do the comment.

This can be done in excel also:

Mean Command " =average(range)"

Standard Deviation "=st.dev(data range)

Here is the solution:

P(x) 04 Querbon ap(x) xa p(x) 0.4 0.9 04 0:8 1:6 0:3 09 2.7 0:1 16 Mean= Exp(x) = (1X0:2) + ( 2x04) + ( 3x0.3) + ( 4x0:1 = 2.3 Variance = ECx2) - E(X2) = ( 12 X09) + (22x0:4) + (32 x0.3) + (42 X0.1) - [4:3] 2 - 0.2 + 16 + 2-1 + 1.6 - 5.29 = 6.1 - 5.29 = 0.8) Standard deviation = Variance = 50.81 = 0.9 Questina Number ap(x) (x-4) (x-4) p.) xeply) -129 133198' 20 163840 66 -197 354838 - 126 149884 144 -125 so 16900 - 635 810315 780 -128 40 198 - or min 36 130 15625 390 Mean = 130