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Carry all decimals until you reach your answer, then round to four decimals Find the probability...

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 pr

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.

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.
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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)

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