Question

And insurance office records the number of claims X receive each day in build a probability distribution table below using the data collected find the mean and standard deviation of a probability distribution

bunding Numbers Calcular OneStop Austin Peay State! + V com/learn/course/Saala356-2cd6-404-9700-47b203f81404/assignment/a51937c3-46f1-4589-b631-603d8b14d117 Calculate Mean and Standard Deviation for a Discrete Probability Distribution Using Technology - Calculator Question An insurance office records the number of claims, X, received each day and built the probability distribution tak using the data collected. Find the mean and the standard deviation of the probability distribution using a TI-83, T TI-84 graphing calculator. . Round the mean to one decimal place and the standard deviation to three decimal places. PIX) 0.0408 0.1304 0.2087 0.2226 0.1781 0.114 0.0608 0.0278 Help Copy to clipboard Download CSV Provide your answer below

Answer 1

please leave a comment if you have any doubt. The expectation of a discrete distribution is the sum of the values times probability which is used here. For calculating the standard deviation, we first calculate the variance and the square root of the variance is the standard deviation.

number of claims In this problem, the random vawable * reconds the received each day in an insurance office. The mean of the distribution of x is E(X) = {x} P(xi) [vs E(X) = (valeu xi probability) [CO X 0.0408) + (1X0.1304)+ (2x0.2087) +(3*0.2226) +(4x0.1781) +(5x0.114) +(6x0.0608) + (7% 0.0278) +(8X0.0111)+ (980.004)+ (10X0-0012) + (1x0.0004) * (1280.0001) 7 = 3.2 Rounded to one decimal place . 04. Pivst compute the valand. VAH()= E(**) - €(x) £(2)= {xy Pi) = [(0*x0.0408) + (1380.1304) + (x 0.2084) + (33X0:2226) +(42*8.1781)+(5%x 0.114)+(6+x0.0608) + (720.0278) +(8°3 0.011) +(9280.004)+(102x0.2012) +(1280.0004)+ (12** 0.0001)] = 13. 4364 .. vat(x)t 18.4364 - (3.2)2 = 19.4364 - 10.24 - 3.196 [ Rounded to three decimal place Standard deviation is SD(x): Tvar (x) = 3.19. 6 1788 [Rounded to these decimal place . & Mean no. of claims to received Perday = 3.2 . Standard deviation of the no. of claims - 1.788.

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