9.06 Problems with binomial distributions using GDC
Interactive practice questions
A standard six-sided die is rolled $5$5 times.
What is the probability of rolling exactly $3$3 ones?
Round your answer to four decimal places.
What is the probability of rolling less than $3$3 ones?
Round your answer to four decimal places.
What is the probability of rolling no more than $3$3 ones?
Round your answer to four decimal places.
Adam has product tested the name of his new product and has found that $61%$61% of people like it. Assuming his product test results are correct, if he randomly asks $50$50 people if they like the name of his new product, what is the probability that exactly $24$24 people will say they like the name?
Give your answer to four decimal places.
The founders of a dating app claim that $39%$39% of messages are replied to. Assuming that this is correct, if Aaron sends $30$30 messages to different people, what is the probability that he will get replies to exactly half of his messages?
Give your answer to four decimal places.
$64%$64% of penguins in a particular enclosure are female.
If $6$6 of the penguins are chosen at random for health checks, what is the probability that exactly $3$3 of them will be female? Give your answer to four decimal places.