In the probabley distrbution to the right, the random variable X eogneserts the

Question

In the probabley distrbution to the right, the random variable X eogneserts the number onts a basebal player otuned n a gia over coun·a·sea en Canoe pas onnteko 0 0 1674 1 03341 2 02906 01883 4 0363 5 00233 (a) Veilly that this is a disrete probability distributiorn This is a discrete probability distribution because (Type whole numbers Use ascending order ) (bj Draw a graph of the probablity distrbtion Describe the shape of the distribstion Geaph the probablily dsaibution Choose the corect graph below betweenand inclusive, and of the probabilities s O C O D. k to select your answers

Explanation / Answer

a) This is a discrete probability distribution because x values are countable and the probabilities between 0 and 1 inclusive and the sum of the probability is one (1)

b)
Graph: Option (A)

The distribution is right skewed and is positive skewed

d)

C) Mean = 1.6219

Correct answer: option (C)

D)

Var(X) = 3.9945 - 1.62192 = 1.36394

SD(X) = sqrt(1.36394) = 1.167878

E) The probabiltiy that a randomly selected game the player get 2 hits is 0.2906

F) The probabilty that a randomly selected game the player got more than 1 hit is 1 - (0.1674 + 0.3341) =

0.4985

X P(X=x) xP(X=x) X^2P(X=x) 0 0.1674 0 0 1 0.3341 0.3341 0.3341 2 0.2906 0.5812 1.1624 3 0.1483 0.4449 1.3347 4 0.0363 0.1452 0.5808 5 0.0233 0.1165 0.5825 Total: 1 1.6219 3.9945

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