The probability distribution for a random variable x is given in the table. -5 -3 -2 0 2 3 Probability .17 .13 33 16 11 10 Find the probability that x < 0​

The probability distribution for a random variable x is given in the table 5 3 2 0 2 3 Probability 17 13 33 16 11 10 Find the probability that x lt 0 class=

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Answer:

0.79

Step-by-step explanation:

add up the probability that is less than or equal to  0, which is 0.17+0.13+0.33+0.16 = 0.79

The probability [tex]$x \leq0$[/tex]. is 0.79.

What is probability distribution?

A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.

The probability distribution is given in the table.

Probability that [tex]$x \leq0[/tex]

The values that are 0 or lower are -3, -2 and -5. So

[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$[/tex]

From the table:

[tex]${data-answer}amp;P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]  

So, [tex]${data-answer}amp;P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]

= 0.16 + 0.13 + 0.17 + 0.33

= 0.79

0.79 probability that [tex]$x \leq0$[/tex].

To learn more about probability distribution

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