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?
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Respuesta :

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,

[tex]E(X) =\sum x\cdot P(X = x)[/tex]

Given,

[tex]P(X=1)=0.20\\\\P(X=2)=0.25\\\\P(X=3)=0.50\\\\P(X=4)=0.05[/tex]

Putting the values,

[tex]E(X)=(1\times 0.20)+(2\times 0.25)+(3\times 0.50)+(4\times 0.05)=2.4[/tex]

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

Step-by-step explanation:

Got it right on the test.