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

Answer:

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

Step-by-step 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,

$E(X)=(1\times 0.20)+(2\times 0.25)+(3\times 0.50)+(4\times 0.05)=2.4$

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

Answer 2

I think 3 hits as the percentage is higher.