Question

If a no. X chosen from no. -1,-2,0,1,2 then the probability that x2<2 is what

Answer 1

Answer:

The probability of (X² < 2) is 0.40.

Step-by-step explanation:

The value of X are:

X = -1  -2  0  1  2

Then the values of X² are:

X² = 1  4  0  1  4

The total number of outcomes of X² are 5.

The outcomes of (X² < 2) are 2.

The probability of an event, say E is:

$P(E)=\frac{Favorable\ outcomes}{Totao\ no.\ of\ outcomes}$

Compute the probability of (X² < 2) as follows:

$P(X^{2}<2)=\frac{Favorable\ outcomes}{Total\ no.\ of\ outcomes}\\ =\frac{2}{5}\\ =0.40$

Thus, the probability of (X² < 2) is 0.40.