5) a sales agent earns a monthly salary that is comprised from a fixed amount of $1,000 and a bonus of $100 for each signed deal. the sales agent believes that the probability to sign a single deal is 0.1, and he has the opportunity to try and sign 100 deals in the next month. denote by w the next month's salary.

(a) calculate the expected value of w.

(b) calculate the standard deviation of w.

(a) $2000

(b) $94.9

Step-by-step explanation:

The expected $ value of signing 100 deals with probability of 0.1 each is

E(X) = 100*0.1 + 100*0.1 + 100*0.1 + ... + 100*0.1 = 100(100*0.1) = $1000

Along with the fixed amount of $1000, the total next month salary is $2000

As for the standard deviation we can apply the following formula

the answer to your question a or b but i am pretty sure it is b. i hope this : )

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls