Kiwi fruits weight ~ The weight of Kiwi fruits is normally distributed with an average weight of 76 grams and a standard deviation of 3.6 grams.

What proportion of Kiwi fruits have weights between 70 and 80 grams? Enter your answer to 4 decimal places.

0.8190

Step-by-step explanation:

The weight of Kiwi fruits is normally distributed with an average weight of 76 grams and a standard deviation of 3.6 grams.

We want to find the proportion of Kiwi fruits that have weights between 70 and 80 grams.

We find the z-scores of 70 and 80 using

For 70, the z-score is:

The area corresponding to a z-score of -1.67 on the standard normal distribution table is 0.0475

For 80, the z-score is:

The area to the corresponding to a z-score of 1.11 is 0.8665

The area between the two z-scores is 0.8665-0.0475=0.8190

Therefore the proportion of Kiwi fruits have weights between 70 and 80 grams is 0.8190

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )