Bananas are sold in bunches at a grocery store and typically consist of 4-8 bananas per bunch. suppose the weight of these bunches follows a normal distribution with a mean of 3.54 pounds and a standard deviation of 0.63 pounds. what is the probability that a randomly selected bunch of bananas will weigh more than 3.0 pounds

Question

Mathematics

Taniyah Campos

23 July, 10:29

Bananas are sold in bunches at a grocery store and typically consist of 4-8 bananas per bunch. suppose the weight of these bunches follows a normal distribution with a mean of 3.54 pounds and a standard deviation of 0.63 pounds. what is the probability that a randomly selected bunch of bananas will weigh more than 3.0 pounds

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Midnight · Answer 1

Normal distribution

μ =3.54

σ =0.63

x≥ 3.0

Z (X≤ x) = (x-μ ) / σ = (3-3.54) / 0.63=-0.85714

P (X≤ x) = 0.195683

P (X≥ x) = 1-P (X≤ x) = 1-0.195683=0.80432