Find the current assessment of the given totals F with the showed yearly speed of return r, the amount of years t, and the exhibited constructing. (Round your reactions to the nearest penny.)

F = $5400, r = 3.1%, t = 24

(a) intensified yearly

$

(b) strengthened quarterly

$

(c) escalated month to month

$

(d) heightened step by step

$

Expect you have a load with ten balls in it, and each ball has a digit engraved on it:

0,1,2,3,4,5,6,7,8,9. So there is one ball for all of the ten digits 0-9.

a) If you pull out three balls and put them in a protected spot, what is the probability that you pull out the

numbers "5", "0", and "4", in a particular request? ("5" is your first draw, "0" is your second, and "4" is

your third).

b) For area (a), what is the probability that your three numbers include "5", "0", and "4" in

any solicitation? Express your answer as a totally reduced part.

c) Suppose rather you take a ball out, record its value, by then return it into the sack, by then repeat

this connection three total events. What is the probability that you will pick the 5, the 0, and the 4,

in a particular request?

d) somewhat (c), what is the probability that your three decisions contain the number 4 twice,

additionally, the number 8 once, in any solicitation?

A club offers the going with game, which costs 10 dollars to play.

Two cards are picked randomly without replacement from a standard deck of 52 cards.

If both of the cards are rulers, you win 220 dollars and get your 10 dollars back.

If unequivocally one of the cards is a ruler, you win 20 dollars and get your 10 dollars back,

Else, you lose the 10 dollars.

Let X be comparable to the proportion of money won as the eventual outcome of playing this game one time, where winning a negative total is indistinguishable from losing that whole.

Find P(X>0)

Find E(X)

- E- -

If the sporadic variable X methods the authentic regarded results given in the going with table with the given repeat of occasion of all of the outcomes, fill in the last line of the table and track down the typical assessment of X.

Result -2 -1 0 1 2

Frequency 23 27 12 29 15

P(X)

E(X) =

The probability that event M will happen is .68, and the probability that event R will happen is .42. If p is the probability that M will occur anyway R will not, which of the going with inconsistencies ought to be substantial?

a. 0<=p<=0.10

b. 0.10 <=p <= 0.32

c. 0.26 <= p<= 0.58

d. 0.42 <= p <= 0.68