Question

whats the probability that the customer is currently an undergraduate? which rule of probability did you use to find the answer?

Answer 1

The probability that a customer is currently an undergraduate, calculated using the addition rule for mutually exclusive events, is 0.35. The probability of not being an undergraduate in business is 0.80, found using the complement rule.

Given:

20% are currently undergraduate students in business (U in Business)

15% are undergraduate students in other fields (U in Other Fields)

60% are college graduates who are currently employed (Grad & Employed)

- ? are college graduates who are not employed (Grad & Not Employed)

(a) Probability that the customer is currently an undergraduate (U):

Using the addition rule for mutually exclusive events:

`\[ P(U) = P(U \text{ in Business}) + P(U \text{ in Other Fields}) \]`

`\[ P(U) = 0.20 + 0.15 \]`

`\[ P(U) = 0.35 \]`

(b) Probability that the customer is not an undergraduate business student:

Using the complement rule:

`\[ P(\text{Not U in Business}) = 1 - P(U \text{ in Business}) \]`

`\[ P(\text{Not U in Business}) = 1 - 0.20 \]`

`\[ P(\text{Not U in Business}) = 0.80 \]`

Therefore:

(a) The probability that the customer is currently an undergraduate is 0.35.

(b) The probability that the customer is not an undergraduate business student is 0.80.

complete the question

Preparing for the GMAT A company that offers courses to prepare students for the Graduate Management The admission Test (GMAT) has the following information about its customers: 20%

are currently undergraduate students in business; 15%

are undergraduate students in other fields of study; 60%

are

college graduates who are currently employed, and

are college graduates who are not employed. Choose a customer at random.

(a) What’s the probability that the customer is currently an undergraduate? Which rule of probability did you use to find the answer?

(b) What’s the probability that the customer is not an undergraduate business student? Which rule of probability did you use to find the