0.1367 percent of randomly chosen cookies will weigh less than 14 grams.
Given data;
Is it possible to calculate the likelihood that a randomly selected cookie weighs less than 14g using the information provided above?
Let,
X = Average cookie weight in a pack of 30
E (X) = μ = 15
Var (X) = σ²/n
= 1²/30 = 0.0333
⇒ Standard Deviation (X) = √0.0333 = 0.1826
P(X ≤ 14.8) = (X-15 / 0.1826 < 14.815/0.1826)
= P(14.815 - 0.1826)
= P(Z-1.1)
= 0.1367
Hence, the probability that a randomly selected cookie has a weight less than 14g is 0.1367
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