Mr. Burke teaches a mathematics class with 15 students. In this class there are 6 female students and 9 male students. Each day Mr. Burke randomly chooses one student to answer a homework question. In the first month, Mr. Burke wil teach his class 20 times.

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Mr. Burke teaches a mathematics class with 15 students. In this class there are 6 female students and 9 male students. Each day Mr. Burke randomly chooses one student to answer a homework question. In the first month, Mr. Burke wil teach his class 20 times.

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Question 5
Mr Burke teaches a mathematics class with 15 students. In this class there are 6 female students and 9 male students.
Each day Mr Burke randomly chooses one student to answer a homework question.
In the first month, Mr Burke will teach his class 20 times.
a. Find the probability he will choose a female student 8 times.
b. The Head of Year, Mrs Smith, decides to select a student at random from the year group to read the notices in assembly. There are 80 students
in total in the year group. Mrs Smith calculates the probability of picking a male student 8 times in the first 20 assemblies is 0.153357 correct to 6
decimal places.
Find the number of male students in the year group.
Transcribed Image Text:Question 5 Mr Burke teaches a mathematics class with 15 students. In this class there are 6 female students and 9 male students. Each day Mr Burke randomly chooses one student to answer a homework question. In the first month, Mr Burke will teach his class 20 times. a. Find the probability he will choose a female student 8 times. b. The Head of Year, Mrs Smith, decides to select a student at random from the year group to read the notices in assembly. There are 80 students in total in the year group. Mrs Smith calculates the probability of picking a male student 8 times in the first 20 assemblies is 0.153357 correct to 6 decimal places. Find the number of male students in the year group.
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