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Alicia has 7 paintings she wants to hang side by side on her wall.

In how many ways can she arrange all 7 paintings?

If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display?

In how many ways can she arrange 4 out of the 7 paintings?

The table shows the number of touchdowns Luis scored during his football games.

Create a probability distribution table.

What is the probability of Luis scoring 2 touchdowns?

What is the probability of Luis scoring more than 1 touchdown?

What is the estimated value of the number of touchdowns Luis scores?

Guest Oct 31, 2017

#1**+2 **

Total possible arrangements = 7! = 5040

Total ways to choose 4 of the paintings = C(7,4) = 35 ways

Total arrangements of any 4 = 4! = 24 ways

Probability of Luis scoring 2 touchdowns = [ 7 ] / [ 6 + 10 + 7 + 5 ] = 7/28 = 1 / 4

Probability of Luis scoring more than 1 touchdown = [ 7 + 5 ] / 28 = 12/28 = 3 / 7

Estimated value = weighted average =

[ 6*0 + 10*1 + 7*2 + 5*3 ] / 28 \

[ 10 + 14 + 15 ] / 28 =

[ 39 ] / [28 ] ≈ 1.4 touchdowns

CPhill Oct 31, 2017