Question: please answer as many as possible. a thumb up will be given 1) Suppose there are 10 coins, eight of which are fair and two
1) Suppose there are 10 coins, eight of which are fair and two double-headed. A coin is chosen at random and Hipped twice and both times a head shows. What is the probability the coin is double-headed? 2) An airline finds that each passenger who reserves a seat fails to turn up with probability 1/10, independent of other passengers. The airline sells 20 tickets for their 18 seat airplane. What is the probability they do not have enough seats? 3) You are surveying a plot of land but, due to measurement error, the dimensions are imprecise. The measured length is X with sx = 300.0x = 15 and the width is Y with fy = 200.0y = 10, independent of each other. What is the expected value and standard deviation for the area of the plot of land? 4) Let A be the event a random family owns a BMW (car) and B be the event they own a Honda. P(A) P(B) = 6, P(AUB) - 7 a) What is the probability they own both of these cars? b) What is the probability they own neither of these cars? c) Given they own a BMW, what is the probability they also own a Honda? 1) Suppose there are 10 coins, eight of which are fair and two double-headed. A coin is chosen at random and Hipped twice and both times a head shows. What is the probability the coin is double-headed? 2) An airline finds that each passenger who reserves a seat fails to turn up with probability 1/10, independent of other passengers. The airline sells 20 tickets for their 18 seat airplane. What is the probability they do not have enough seats? 3) You are surveying a plot of land but, due to measurement error, the dimensions are imprecise. The measured length is X with sx = 300.0x = 15 and the width is Y with fy = 200.0y = 10, independent of each other. What is the expected value and standard deviation for the area of the plot of land? 4) Let A be the event a random family owns a BMW (car) and B be the event they own a Honda. P(A) P(B) = 6, P(AUB) - 7 a) What is the probability they own both of these cars? b) What is the probability they own neither of these cars? c) Given they own a BMW, what is the probability they also own a Honda
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