Question

an orchard markets sells fresh mangoes. Mangoes weighing less than 38grams are graded small,those weighing more than 49 grams are graded large and the rest are graded medium.the weight of a mango from a particular tree is distributed with mean 42 grams and standard deviation 4 grams
i.find the median of mangoes graded small
ii.5 mangoes are selected at random, what is probability that at least 3 is medium
iii.if 35 mangoes are selected at random,calculate the probability that their total mass do not exceed 1.42 kilogram

Answer 1

i. To find the median of mangoes graded small:
1. Calculate the z-score for 38 grams.
2. From a standard normal distribution table find the cumulative probability for the z-score calculated in step 1.
3. Divide the value of cumulative probability found in step 2 by 2. This will give the z-score for the median.
4. Find the value of the required median by using the following formula:
\[z=\frac{X-\mu}{\sigma}\]

Answer 2

@aiskarl hasn't he ans'd ur q?