Question

There are 32 students currently taking a Calculus I class. Each student has a 95% chance...

There are 32 students currently taking a Calculus I class. Each student has a 95% chance of registering for Calculus II. If the maximum capacity of the Calculus II class is 30, what is the probability that the class will be overbooked? (Assume that only the students currently taking the Calculus I class can register for the Calculus II class.)

NOTE: Report your answer till the second decimal point.

Math   Statistics-And-Probability   
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Answer #1

There are 32 students currently taking a Calculus I class.

Each student has a 95% chance of registering for calculus II.

The max capacity of calculus II class is 30.

We have to find the chance that the class is overbooked.

So, we have to find the chance that 31 or 32 students register for calculus II.

If X be the number of students registering for calculus II, then X follows binomial with n=32 and p=0.95.

we have to find

So, the correct answer is 0.52.

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