Question

Maria believes she will get 1 hit in 20% of her softball games, 2 hits in 25% of her games, 3 hits in 50% of her games, and 4 hits in 5% of her games. About how many hits can Maria expect to have each game?

1
2
3
4

Answer 1

2

Explanation:

Got it right on the test.

Answer 2

The number of hits can Maria expect to have each game is 2

Explanation:

The expected value is the sum of product of each of the possible outcomes and the probability of the outcome occurring. Mathematically,

`E(X) =\sum x\cdot P(X = x)`

Given,

`P(X=1)=0.20\\\\P(X=2)=0.25\\\\P(X=3)=0.50\\\\P(X=4)=0.05`

Putting the values,

`E(X)=(1* 0.20)+(2* 0.25)+(3* 0.50)+(4* 0.05)=2.4`

As the number of hits can not be in fraction, so the number of hits can Maria expect to have each game is 2