1.Fabulous Hair Salon is trying to decide how many employees to call in for Saturday's afternoon rush.

The salon knows that demand is normally distributed, with a mean of 40 clients, and a standard deviation of 10 clients. Each employee dedicates their whole shift to only one client providing the highest quality personalized service.

A client pays $200 for a consulting and haircut session, while the cost of an employee is $70 for the whole day.

How many employees should the salon schedule for Saturday? Choose the closest answer below.

44

23

67

25

2.DJ and EB, the co-founders of Thumbs Up Inc., are planning to build a 300-seat theatre next to Victoria Park in London. After studying the market, they have drawn the following conclusions:

There will be one show every day.

The theatre will make a revenue of $2.00 on each occupied seat. There will be no revenue from unoccupied seats.

The probability that it rains on any given day is 0.30

The demand for seats on a dry day is normally distributed with a mean of 275 and a standard deviation of 30.

The demand for seats on a rainy day is normally distributed with a mean of 250 and a standard deviation of 45.

What the probability that the revenue is higher than $500/day? Choose the closest answer below.

30%

50%

70%

10%

3. DJ and EB, the co-founders of Thumbs Up Inc., are planning to build a 300-seat theatre next to Victoria Park in London. After studying the market, they have drawn the following conclusions:

There will be one show every day.

The theatre will make a revenue of $2.00 on each occupied seat. There will be no revenue from unoccupied seats.

The probability that it rains on any given day is 0.30

The demand for seats on a dry day is normally distributed with a mean of 275 and a standard deviation of 30.

The demand for seats on a rainy day is normally distributed with a mean of 250 and a standard deviation of 45.

What is expected (average) daily revenue? Choose the closest answer below.

$700

$325

$530

$401

4. DJ and EB, the co-founders of Thumbs Up Inc., are planning to build a 300-seat theatre next to Victoria Park in London. After studying the market, they have drawn the following conclusions:

There will be one show every day.

The theatre will make a revenue of $2.00 on each occupied seat. There will be no revenue from unoccupied seats.

The probability that it rains on any given day is 0.30

The demand for seats on a dry day is normally distributed with a mean of 275 and a standard deviation of 30.

The demand for seats on a rainy day is normally distributed with a mean of 250 and a standard deviation of 45.

What is standard deviation of daily revenue? Choose the closest answer below.

$18

$120

$33

$65

5. DJ and EB, the co-founders of Thumbs Up Inc., are planning to build a 300-seat theatre next to Victoria Park in London. After studying the market, they have drawn the following conclusions:

There will be one show every day.

The theatre will make a revenue of $2.00 on each occupied seat. There will be no revenue from unoccupied seats.

The probability that it rains on any given day is 0.30

The demand for seats on a dry day is normally distributed with a mean of 275 and a standard deviation of 30.

The demand for seats on a rainy day is normally distributed with a mean of 250 and a standard deviation of 45.

What the probability that all the seats will be sold out? Choose the closest answer below.

0%

18%

39%

5%