The following data relates to the mean and standard deviation of the price of two shares in the stock exchange and the coefficient of correlation 0.48 Share mean S.D Company A 44 5.60 Company B 58 6.30 Find the most likely price of share A corresponding to the price of Rs 60of share B. what will statistician prefer between covariance and correlation coefficient. Explain it with reason.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data relates to the mean and standard deviation of the price of two shares in the stock exchange and the coefficient of correlation 0.48 Share mean S.D Company A 44 5.60 Company B 58 6.30 Find the most likely price of share A corresponding to the price of Rs 60of share B. what will statistician prefer between covariance and correlation coefficient. Explain it with reason. b) A lot contains twenty missiles, two are selected at random and fired without replacing the first. If the lot contains five defective missiles that will not fire then what is the probability that both missiles are defective? c) Three far coins are tossed and the following events are defined : A: {observe at least one head} B: {observe exactly two heads} C: {observe exactly two tails} D: {observe at most one head} i. Sum the probabilities of the appropriate simple events to find: P(A), P(B), P(C), P(D), P(A B), P(A D), P(B C) and P(B D). ii. Use the formula of this section and your answers to part (i) to calculate: P(A B), P(D A), P(B C), P(B|A), P(A|D) and P(C|B). iii. Are events A and B independent? Mutually exclusive? iv. Are events A and D independent? Mutually exclusive?
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