\"\"

\

The zoo workers expect \"\" gibbon offspring this year.

\

a.

\

The probability of no male gibbon offspring this year :

\

A success in this situation is a male offspring, so \"\" and \"\".

\

Want to find the probability that the offspring succeeds \"\" times out of those \"\" trials, so let \"\".

\

To find this probability, find the value of the term  \"\" in the expansion of \"\".

\

Where \"\" and \"\".

\

Substiute the values \"\" and \"\" in the equation \"\".

\

\"\"\"\".

\

\"\"

\

Therefore, the probability of no male gibbon offspring this year is \"\".

\

\"\"

\

b.

\

The probability of excatly \"\" male gibbon offspring this year :

\

A success in this situation is a male offspring, so \"\" and \"\".

\

Want to find the probability that the offspring succeeds \"\" times out of those \"\" trials, so let \"\".

\

To find this probability, find the value of the term  \"\" in the expansion of \"\".

\

Where \"\" and \"\".

\

Substiute the values \"\" and \"\" in the equation \"\".

\

\"\"\"\".

\

\"\"

\

Therefore the probability of excatly \"\" male gibbon offspring this year is \"\".

\

\"\"

\

c.

\

The probability of \"\" female gibbon offspring this year :

\

A success in this situation is a female offspring, so \"\" and \"\".

\

Want to find the probability that the offspring succeeds \"\" times out of those \"\" trials, so let \"\".

\

To find this probability, find the value of the term  \"\" in the expansion of \"\".

\

Where \"\" and \"\".

\

Substiute the values \"\" and \"\" in the equation \"\".

\

\"\"\"\".

\

\"\"

\

Therefore, the probability of excatly \"\" female gibbon offspring this year is \"\".

\

\"\"

\

a.

\

The probability of no male gibbon offspring this year is \"\".

\

b.

\

The probability of excatly \"\" male gibbon offspring this year is \"\".

\

c.

\

The probability of \"\" female gibbon offspring this year is \"\".