Question

When conducting research on color blindness in males, a researcher forms random groups x is the number of males in the group who have a form of color blindness Determine whether a probabiity distribution is given. If a probability distribution is given, find its mean and standard deviation probaonty distribution is not given, identify the requirements that are not satisfied. with five males in each group. The r random variable 0.650 0.297 4 0.00 0.000 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random vanablex is categorical instead of numerical. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variablex's number values are not associated with probabilities E. No, the sum of all the probabilties is not equal to 1 Find the mean of the random variable x. Select the correct choice below and, if necessary. fill in the answer box to complete your choice. ?A. O B. ?-| male(s) (Round to one decimal place as needed.) The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, It necessary, hill in the answer box to complete your choice AL O B. ?: | male(s) (Round to one decimal place as needed) The table does not show a probability distribution.

Answer 1

For discrete distribution, we need sum of all probabilities to be 1 and each probability value should be in range [0,1], al these are satisfied in given table Yes, the table shows a probability distribution 0.65 0.297 0.049 0.003 0.001 0.297 0.098 0.009 0.004 0.297 0.196 0.027 0.016 2 P() 0.536 = 0.408 Expected value or Mean-μ-E(X)-ΣΧΡ(x)-0.408 Expected Value or Mean, μ = 0.4 Variance, σ2-V(X)-E(X2)-[E(X)]2 0.536-0.166464 - 0.369536 0.370 Variance, V(X) 0.370 Standard Deviation-σ-v02-V0. 369536 ~ 0.607895 ~ 0.608 Standard Deviation σ-0.6