Abox contains five keys, only one of which will open a lock. keys are randomly selected and tried, one at a time, until the lock is opened (keys that do not work are discarded before another is tried). let y be the number of the trial on which the lock is opened. a find the probability function for y . b give the corresponding distribution function. c what is p(y < 3)? p(y ≤ 3)? p(y = 3)? d if y is a continuous random variable, we argued that, for all −[infinity] < a < [infinity], p(y = a) = 0. do any of your answers in part (c) contradict this claim? why?

Solve the equation x/4 - 5= -8 -27 -12 -7 12

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.