The probability that -5 < x < 5 is given by 0.05.
What is Probability?
Probability is the measure of the likliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.
The probability is calculated by determining the ratio of the favorable outcomes to total outcomes.
The probability distribution for a random variable x is given in the table,
The probability that -5 < x < 5 is given by
= P( x < 5) - P( x ≤ -5)
P ( x < 5) = P ( x = 0) +P( x = -5) + P( x = -10)
P ( x < 5) = 0.05 + 0.15 + 0.20
P ( x < 5) = 0.40
P( x ≤ -5) = P( x = -5) + P( x = -10)
P( x ≤ -5) = 0.15 + 0.20
P( x ≤ -5) = 0.35
The probability that -5 < x < 5 is given by
= 0.40 - 0.35
= 0.05
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