Question

Hello,

I need help with the following questions. Please show the step by step calculations. Thank you!

Question 1:

The below table details sales information from a business that sells camping gear and boating accessories. They have 3 locations. The Sales column details the probability that a random selected sale comes from that location. The boating accessory column details the probability that a sale from that location would be a boating accessory. What is the probability that a random sale from anywhere in the company would be a boating accessory.

Location	Sales	Boating Accessory
Lincoln	0.2	0.35
Omaha	0.35	0.5
Kansas City	0.45	0.7

1. 0.56
2. 0.52
3. 0.44
4. 0.35

Question 2:

Fifteen individuals are competing in the Olympics in the downhill slalom. How many different ways can the gold, silver and bronze medals be awarded?

1. A. 45
2. B. 2730
3. C. 455
4. D. 5005

Question 3:

The Texas State Lotto Board has implemented a new lotto game where you select a one digit number, a lower case letter from the alphabet, and a month of the year. Each night a drawing will select one from each of the categories. How many possible outcomes are there to this lottery.

1. A. 3120
2. B. 260
3. C. 3456
4. D. 5720

Answer 1

1)

probability that a random sale from anywhere in the company would be a boating accessory

=0.2*0.35+0.35*0.5+0.45*0.7=0.56

2)

number of different ways =15*14*13 =2730

3)

number of possible outcomes =N(select one from 10 digits and 1 alphabet from 26 and 1 month from 12) =10*26*12 =3120