Ask Question
11 June, 00:35

A company sells apples in packages of 444. The masses of the individual apples are normally distributed with a mean of 175/,/text{g}175g175, start text, g, end text and a standard deviation of 15/,/text{g}15g15, start text, g, end text. Assume that the weights of apples are independent from each other.

+4
Answers (1)
  1. 11 June, 00:52
    0
    Answer: let the probability of weights less than 160 be the required value, then, using z-score formula

    z-score = (x - ∪) : Ф where, x is 160, ∪ is population mean = 175,

    Ф is the population standard deviation = 15

    z-score = (160 - 175) : 15 = - 1

    p (z< - 1) = 0.159

    Step-by-step explanation:

    the question is not complete. Assuming that the missing figure is 160 representing the required weights ess than the normal weights of 175.

    step 1. obtain the z-score value by using the formula

    z = (x - ∪) : Ф

    step 2. obtain the probability of weights less than 160 from normal distribution table. since z-score value is - 1, the probability is obtained as 0.159 that is 15.9%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A company sells apples in packages of 444. The masses of the individual apples are normally distributed with a mean of ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers