The probability of a getting a new sales contract with any given client is 0.29. A sales representative works with 18 clients this week. What is the expected number of contracts the sales representative will get this week?

The expected number of contracts the sales representative will get this week is 5.22

Step-by-step explanation:

For each client, there are only two possible outcomes. Either there is a sales contract, or there is not. The probability of having a sale contract with each client is independent of other clients. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

In this problem, we have that:

What is the expected number of contracts the sales representative will get this week?

The expected number of contracts the sales representative will get this week is 5.22

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

x=6 and x=3

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