Question

Shoppers at a local department store were asked to complete a survey of their shopping experience. The results are shown in the table below:

Satisfied with Service Not Satisfied with Service Totals
Made a Purchase: 130 494 624
Did Not Make a Purchase: 715 183 898
Totals: 845 677 1522

a. What is the probability that a shopper selected at random made a purchase?

b. What are the odds that a shopper selected at random was satisfied with their purchase?

Answer 1

please help!!

Answer 2

Give me a sec.......

Answer 3

It's been awhile but I think for A, you have to divide total number of people made a purchase by total people overall.
For B, I think you have to divide just the people who are satisfied with their purchase and total number of people over all.

Answer 4

ok.. ill try that. ill leave this open a few more minutes to see if anyone who knows for sure can chime in. otherwise i'll go with that. thanks..

Answer 5

No problem, its been a while I've done probability, right now doing parametrics and other crazy stuff in calculus III.

Answer 6

So, I got 0.41 for the first question and 0.56 for the second

Answer 7

Ok, so 0.41 and 0.56 is in decimal form, to put it in percentage was, just times 100 to turn it into a percentage form.

Answer 8

right. it doesn't specify it's supposed to be in percent form. you think it should be?

Answer 9

Well usually probability means what is the chance of something happening, etc. So if you say it is a 0.53 chance of winning the lottery vs. a chance of 53% of winning the lottery. The percentage form just makes more sense.

Answer 10

gotcha. thanks..

Answer 11

The odds are the ratio of the probability of an event occurring to that of its not occurring.
P(satisfied) = 845/1522
P(not satisfied) = 677/1522
Odds(satisfied) = (845/15220) : (677/1522) = 845 : 677

Answer 12

i am confused. so it was wrong what we did before?

Answer 13

Yes. The odds are a ratio of probabilities.

Answer 14

so what's the actual answer?

Answer 15

That's not what the question says
For A, it says whats the probability that a shopper made a purchase\[\frac{ 624 }{ 1522 }=.4099*100=40.99percent\]
For B, it says odds of satisfied WITH their purchase\[\frac{ 130 }{ 624 }:\frac{ 494 }{ 624 }=130:494\]

Answer 16

The odds that a shopper selected at random was satisfied with their purchase is
845 : 677

Answer 17

oh so b would be 26%

Answer 18

But the 845 includes the ones that DID NOT make a purchase, it asks the odds of the ones who MADE a purchase.

Answer 19

or should i put it as 130 : 494

Answer 20

I think it would be 130:494 because it was the odds selected random for the ones who were satisfied with their purchase hence meaning that they MADE a purchase.

Answer 21

i messed up it is service not purchase.. i just noticed when i went to put in the answer. so it should be 845 : 677

Answer 22

alright.. im about to close this and give hwtrain best answer unless you have something to say kropt, i see you're typing

Answer 23

but like i said, it doesnt say purchase i goofed.. it just says service. which means it should be 845 : 677

Answer 24

Oh if thats case @kropot72 was right all along... I bring dishonorable to my family........

Answer 25

haha i completely messed you guys up sorry

Answer 26

alright looks like i am good. thanks for the help

Answer 27

*sniffle sniffle*, I got a math problem wrong :(

Answer 28

Just a point to note. The maximum value of probability is 1. In statistics the maximum value of probability would not usually be stated as 100%.