Question

A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the most common letter to start a word. If we randomly pick 20 unique words, which of these lists of words will come closest to the theoretical probability of getting a word beginning with T?

Answer 1

What is the theoretical probability? It's in the problem statement.

Answer 2

Any idea?

Answer 3

Do you have an idea @Zarkon

Answer 4

what is the percentage of words that begin with T? (based on the data)

Answer 5

I don't know..

Answer 6

(# start with T)/(# of words)

Answer 7

The wording to the question is poor...but I believe I know what they want

Answer 8

There's 6,670 words that start with t
There's 40,000 words

Answer 9

ok...

Answer 10

So I times it?

Answer 11

did I times it above?

Answer 12

Oh divide!

Answer 13

and you get...?

Answer 14

.16675

Answer 15

ok...so if you randomly select 20 word what is the expected number that start with T

Answer 16

...I don't know.

Answer 17

the expected value is \(n\cdot p\)

Answer 18

3.335?

Answer 19

yes....so look in your lists and choose the list that has about 3.3 words that start with T

Answer 20

How do I figure that out?

Answer 21

count the words that start with T in each group

Answer 22

Okayy..

Answer 23

A)7
B)4
C)1
D)7
E)2

Answer 24

which is closest to 3.3?

Answer 25

E?

Answer 26

there is a difference of 1.3 between 2 and 3.3

can you do better than that?

Answer 27

B?

Answer 28

yes...the difference there is .7. so that one is the closest to 3.3


that is the answer I would pick...though , again, i'm not 100% sure because of the wording of the problem

Answer 29

Okay, thank you!