In any year, the weather can inflict storm damage to a home. from year to year, the damage is random. let y denote the dollar value of damage in any given year: suppose that in 95% of the years y = $0, but in 5% of the years y = $2.
a. what is the mean and the standard deviation of the damage to a home in any given year?
b. consider an "insurance pool" of 100 people whose homes are sufficiently dispersed so that, in any given year, the damage to different homes are viewed as independently distributed random variables. let y denote the average damage to these 100 homes in a year. (i) what is the expected value of the average damage y ? (ii) what is the probability that y exceeds $2000?

366

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺