The required details about probability is mentioned in below paragraph.
Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. Statistics is the study of events that follow a probability distribution. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss.Only two results are possible when you flip a coin: heads or tails.
P(290 < X < 480)
= P(X < 480) - P(X < 290)
= P((x - \mu ) /\sigma < (480 - 367)/88) - P((x-\mu) /\sigma < (290 - 367)/88)
= P(N(0,1) < 1.28) - P(N(0,1) < - 0.86)
= 1 - P(N(0,1) > 1.28) - P(N(0,1) > 0.86)
(since Normal(0,1) is symmetric around 0)
= 1 - 0.10027 - 0.19489
= 0.7048
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