The z-score of apple price of $7.99/lb is 0.66
Probability is a measure of the possibility of an event occurring.
The likelihood could range from 0 to 1, where 0 indicates an impossibility and 1 indicates a certainty.
Every event in a sample space has an overall probability of one.
The probability that the apple price is less than or equal to $7.99 / lb can be calculated using the normal distribution method
P(x ≤ 5.99)
The standard form of the given random sample can be found using the formula,
Z = (X - μ) / σ
where Z is the standard score
X is the random sample
μ is the mean
σ is the standard deviation.
For x =7.99,
Z = (7.99 - 5.99) / 2.99
= 2 / 2.99
Z = 0.66
Therefore, by standardizing the random sample, we get
P(x ≤ 5.99) = P( z ≤ 0.66)
By using the z-table, we get the value of z
P(z ≤ 0.66) = 0.7454
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