My Notos Ask Your Toach nsurance $15 dollars. A be bom naturally costs USA Insur

Question

My Notos Ask Your Toach nsurance $15 dollars. A be bom naturally costs USA Insurance s on a Particular dey 3 An average of 30% of babies born in Gotham City are born v a Caesarean section C section). A baby bom v a C section costs USA City, Let x equal the number of these babies born vis C-section. Let w-the total cost of these babies to USA Insurance. ba ies are born in Goham a As a function of x, what isw? b. Wht is the expected value of c. What is the expected value of w? d. What is the probability that 10? e. What is the probability that x>13? f. What is the standard devlation of x? g. What is the standard deviation of w? h, what is the probability that w > 25000? iWhat is the probability that x is within 1 standard deviation of its expected value? Add any comments below. Submit Answer Save Progress

Explanation / Answer

Ans:

x has binomial distribution with n=30,p=0.3

a)w=1500x+500*(30-x)=1500x+15000-500x=1000x+15000

b)Expected value of x=30*0.3=9

c)Expected value of W=1000*9+15000=24000

d)P(x=10)=BINOMDIST(10,30,0.3,FALSE)=0.1416

e)P(x>13)=1-P(x<=12)=1-BINOMDIST(12,30,0.3,TRUE)=1-0.9155=0.0845

f)standard deviation of x=sqrt(np(1-p))=sqrt(30*0.3*0.7)=sqrt(6.3)=2.51

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