Question

Carry all decimals until you reach your answer, then round to four decimals

One state lottery has 1,200 prizes of $1; 150 prizes of $10; 20 prizes of $75; 5 prizes of $360; 2 prizes of $1,110; and 1 prize of $2,600. Assume that 36,000 lottery tickets are issued and sold for $1.

Find the probability that between 4 and 9, exclusive, of the recently deceased died due to heart disease.

Find the probability that less than 4 of the recently deceased died due to heart disease.

Answer 1

x	P(x)	xP(x)	x2P(x)
0	0.03333	0.0000	0.0000
-9	0.00417	-0.0375	0.3375
-74	0.00056	-0.0411	3.0422
-359	0.00014	-0.0499	17.9001
-1109	0.00006	-0.0616	68.3267
-2599	0.00003	-0.0722	187.6334
1	0.96172	0.9617	0.9617
	total	0.6994	278.2017
	E(x) =μ=	ΣxP(x) =	0.6994
	E(x2) =	Σx2P(x) =	278.2017
	Var(x)=σ2 =	E(x2)-(E(x))2=	277.7124
	std deviation=	σ= √σ2 =	16.6647

1)

expected lottery profit =0.6994

2)standard deviation =16.6647

((please provide sample size for question 3 and 4)