d What is the standard deviation of the number of trainees that will still be

D what is the standard deviation of the number of

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d) What is the standard deviation of the number of trainees that will still be employed at the end of 9 months? Question 4 – Probability Distribution Function The following table displays the joint probability distribution of two discrete random variables X and Y. a) What is the covariance between X and Y? b) Determine the marginal probability distribution for X. c) Compute the standard deviation for Y. d) Compute the variance for the linear function W=2X+Y. Question 5 – Interest Rates and House Sales The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20. The probability that house sales will decrease is estimated to be 0.6. The probability that interest rates will go up and house sales will decrease is estimated to be 0.15. a) What is the probability that interest rates increase or house sales decrease? b) What is the probability that house sales decrease and interest rates do not increase? c) What is the probability that house sales will go down given that interest rates will go up? d) Are the events ‘interest rates increasing’ and ‘house sales decreasing’ statistically independent? Explain your answer.
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