aptiva
05-23-2006, 12:26 PM
this question has three parts and once again I was able to answer part A and B by drawing the tree diagram but I cant seem to figure out part C
Janet claims to be a fan of the Montreal Canadians and as is true of most fans, she remains a supporter when the team wins or ties (but not when it loses). The probability of the team winning is 0.60 and of losing is 0.25. True to form, Janet wears Canadiens symbols (eg. a hocket sweater) 30% of the time on the day after a team wins, 25% of the time the day after a tie and 8% of the time after a loss.
a) how often - over the course of an 80-game hockey season - is Janet likely to wear a Canadiens symbol on the day after a game?
b) one day after a montral game, janet does not wear a canadiens symbol. What is the probability that the team won on the previous day?
c) Independently of whether she displays a symbol, Janet also threatens to declare Toronto Maple Leafs her favorite team more often on the day after a Montreal loss than after a win or tie (i.e. 35% of the time the day after a loss, 5% of the time the day after a win and 5% of the time the day after a tie). What is the probabilifty that, on the day following a Montreal tie, janet threatens to switch her support to the leafs but nonetheless displays a canadiens symbol? [ANS:0.0125]
Janet claims to be a fan of the Montreal Canadians and as is true of most fans, she remains a supporter when the team wins or ties (but not when it loses). The probability of the team winning is 0.60 and of losing is 0.25. True to form, Janet wears Canadiens symbols (eg. a hocket sweater) 30% of the time on the day after a team wins, 25% of the time the day after a tie and 8% of the time after a loss.
a) how often - over the course of an 80-game hockey season - is Janet likely to wear a Canadiens symbol on the day after a game?
b) one day after a montral game, janet does not wear a canadiens symbol. What is the probability that the team won on the previous day?
c) Independently of whether she displays a symbol, Janet also threatens to declare Toronto Maple Leafs her favorite team more often on the day after a Montreal loss than after a win or tie (i.e. 35% of the time the day after a loss, 5% of the time the day after a win and 5% of the time the day after a tie). What is the probabilifty that, on the day following a Montreal tie, janet threatens to switch her support to the leafs but nonetheless displays a canadiens symbol? [ANS:0.0125]