Ahmed sells fruits in his shop. One morning, he got 3 boxes of oranges from 3 different suppliers.

The label on the box he received from the first supplier says that it contains 60 oranges
with a total weight of 5400 g.

The label on the box he received from the second supplier says that it contains 20 oranges, and has a mean weight of 105 g for one orange.

Ahmed put all the oranges from the two boxes in one big container.

Find the mean weight of an orange in the big container.

When he received the box from the third supplier, he put all the oranges in the same big container. Therefore, the mean weight of an orange in the big container became 92.5.

Given that the label in the third box shows that the total weight is 3600 g, find the number of oranges in the third box.

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497