Construct the discreet probability distribution for the random variable described express the probabilities as simple fractionsThe number of heads in four toss of a coin

Construct the discreet probability distribution for the random variable described express the probabilities as simple fractionsThe number of heads in four toss class=

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Explanation

In four tosses of a coin

The sample space is

There are 16 possible outcomes

The probability for the number of heads is given below

when x = 0

P(x) will be

[tex]P(0)=\frac{1}{16}=0.0625[/tex]

when x =1 means when we have 1 head

[tex]P(1)=\frac{4}{16}=\frac{1}{4}=0.25[/tex]

when x =2

[tex]P(2)=\frac{6}{16}=0.375[/tex]

when x = 3

[tex]P(3)=\frac{4}{16}=\frac{1}{4}=0.25[/tex]

When x =4

[tex]P(4)=\frac{1}{16}=0.0625[/tex]

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