Question

o In sports betting sports books establish winning margins for a team that is favored to win a game An individual can place a wager on the game and we ham bat upon wins after accounting for this speed. For example, il Team Abs favored by 5 points and wire the game by 7 points, then a betan Tambang ber However, il Team A wins the game by only 3 points then a beton Team is akosing bot Suppose that in games the margin of victory for the red lamive te the spread is approximately womaly distributed with a man of -1.0 point and a Mandard deviation of 11 5 points Complete parts fal through to below (a) What is the probability that the favored team wins by 7 or more points relative to the spread? The probability is Round to four decimal places as needed (b) What is the probability that the feed team loses by 2 or more points relative to the spread? The probability is Round to four decimal places as needed) c) In games where a team is word by more than 12 points, what is the probably the moved an eat the spready Does this the post point shaving spreads are accurator games to which a team is tevored by meren 12 The probably Road to four demand) Does this that the site both sorodste for ones which als favored by more than 12

Answer 1

for normal distribution z score =(X-μ)/σx
mean μ=	-1
standard deviation σ=	11.5

a)

probability =P(X>7)=P(Z>(7--1)/11.5)=P(Z>0.7)=1-P(Z<0.7)=1-0.758=0.2420

b)

probability =P(X<-2)=(Z<(-2--1)/11.5)=P(Z<-0.09)=0.4641

c)

probability =P(X>12)=P(Z>(12--1)/11.5)=P(Z>1.13)=1-P(Z<1.13)=1-0.8708=0.1292

option D is correct