Question

Assuming that Caleb makes 70% of his free throws and shoots 10 free throws in a game, what is the probability that he will make?

a) All 10 of his free throws in a game?
b) Make seven or more of his free throws in a game?
c) Find the mean number of free throws Caleb would make in the game.

Answer 1

I think i have A, i got 0.0282475249

Answer 2

@jim_thompson5910 could you help please?

Answer 3

You can solve this using a binomial distribution

Answer 4

do you know how to do that?

Answer 5

not really I'm confused on that :/

Answer 6

we know the probability of making any given free throw is .70

Answer 7

yes

Answer 8

S = makes a free throw. F = fails to make a free throw

Answer 9

okay

Answer 10

a) we want the probability
SSS SSS SSS SS , ten S's in a row
each S has probability of 0.7
so you get
0.7 * 0.7 * 0.7 * ... *0.7 = 0.7^10

Answer 11

= .0282475249

Answer 12

yep

Answer 13

okay so what about b?

Answer 14

b)
you want seven successful free throws

for example:

SSSSSSSFFFF

Answer 15

okay

Answer 16

so do we do
.7^7 + .7^3?

Answer 17

so we also need eight S's, nine S's , and ten S's

Answer 18

0.6496107184?

Answer 19

for the case of exactly seven free throws
SSS SSS S FFF
.7^7 * .3^3
and you're not done, there are also more cases

the order counts, you can have
FFF SSS F SSSS

Answer 20

b) is asking P( X >= 7 ) = P( X = 7 ) + P( X= 8) + P( X = 9) + P( X = 10)

Answer 21

would this be correct for b? http://www.wolframalpha.com/input/?i=evaluate+%2810+choose+7%29+*+.7%5E7+*+%28.3%29%5E%283%29+%2B+%2810+choose+8+%29+*+.7%5E8+*+%28.3%29%5E2+%2B+%2810+choose+9%29+*+.7%5E9+*.3%5E1+%2B+%2810+choose+10%29*+%28.7%5E10%29%28.3%29%5E0

Answer 22

yep

Answer 23

okay, c?

Answer 24

im not sure about part C @paki

Answer 25

@paki can you help?

Answer 26

@Nnesha help...

Answer 27

can you help? @Luigi0210

Answer 28

@TheSmartOne

Answer 29

@KingGeorge

Answer 30

thank you @pooja195

Answer 31

@jim_thompson5910

Answer 32

part c)

mean = n*p

n = number of trials
p = probability of success

Answer 33

7?

Answer 34

@jim_thompson5910

Answer 35

yep n*p = 10*0.7 = 7

Answer 36

okay so can you double check please
a) .0282475249
b) 0.6496107184
c) 7