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Standard Level

9.06 Problems with binomial distributions using GDC

Interactive practice questions

A standard six-sided die is rolled $5$5 times.

a

What is the probability of rolling exactly $3$3 ones?

Round your answer to four decimal places.

b

What is the probability of rolling less than $3$3 ones?

Round your answer to four decimal places.

c

What is the probability of rolling no more than $3$3 ones?

Round your answer to four decimal places.

Easy
7min

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.

Easy
1min

$72%$72% of the fans attending a particular concert are male. If a security guard decides to randomly check exactly $10$10 fans’ bags for prohibited items, what is the probability that he checks exactly $5$5 females' bags?

Give your answer to four decimal places.

Easy
1min

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.

Easy
1min
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