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
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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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