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Identify the probability density function. 1 f( x ) = 9V 2n -e-(x - 20) /162, (-00, 00 ) O uniform probability density function O exponential probability density function O normal probability density function Find the mean, variance, and standard deviation without integrating. mean variance standard deviation Need Help? Read It1. In which of the following situations can simple linear regression be applied: a. Predicting response rates based upon RFM measures b. Predicting response rates based upon age of customer C. Segmenting customers based on income and transaction history d. In all of the above (a-c) situations simple linear regression can be applied3. [16 marks] A pair of random variables (X, Y) has a joint probability distribution in which Y has marginal probability density function fr(y) = My (1 - 4), yE ( 0, 1 ) 10, else and the conditional probability density function of X given {Y = w} is uniform on the interval (0, y). (a) Write down the joint probability density function of (X, Y), clearly specifying the support of the distribution. [2 marks] (b) Determine the marginal probability density function of X. [3 marks]Question 4 O I 1 pts Which one of the following is not one of the components of an AIS used by companies to achieve their goals? People Internal controls and security measures I- Procedures and instructions internal and external reports data Question 5 0 f 1 pts Which one of the following statements about managerial reports and documents is false? They can be used for external decision making by investors I- They can be used for Internal decision making for control They can support the day to day business operations They can be used for Internal decision making for planning