Rework problem 31 in section 4.1 of your text, involving the selection of two numbers. assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. the selections are made with replacement and are independent of one another. if the two numbers are the same, you make $650. if they are different, you lose $4. a random variable x is defined as your gain or loss.
how many different values are possible for the random variable x?
fill in the table below to complete the probability density function. be certain to list the values of x in ascending order
value of x probability
.125
.375
.375
.125

Step-by-step explanation:

Given that the sample space consists of all 3 digit numbers from 000 to 999.

This means n(S) = 1000

With replacement two numbers are drawn.  

Hence we have events are independent of each other.

If two numbers are the same we gain 650, but if different we lose 4

X - Gain or loss

Let gain be denoted by + and loss by -

Then x can take values as +650 or -4

P(X=650)=Prob(getting same numbers twice)

=

P(x=-4) = 0.999

f-1(x)= cube root of 19x squared/x

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.