A teacher allows his students to sign up for one of four final exam ti

Clifton Sanchez

Clifton Sanchez

Answered question

2021-11-17

Assuming that the student preferences will follow a consistent probability model, a teacher offers his students the option of choosing one of four final exam schedules. He discovers that 12 students have registered for Time One, 8 for Time Two, 11 for Time Three, and 9 for Time Four after all 40 students have given their selections. Which of the subsequent statements is accurate? Please check all that apply.
a) The experimental probability of a student Time Four is larger that the theoretical probability. 
b) The theoretical probability of a student picking Time Two is 25%. 
c) The size of sample spaces is 40. 
d) The size of the sample space is 4. 
e) The experimental probability of a student picking Time Three is larger than the theoretical probability.

Answer & Explanation

Roger Noah

Roger Noah

Beginner2021-11-18Added 17 answers

Step 1
Using the given information we make a table
EventFrequencyExperimental probabilityTheoretical probabilityTime one121240=0.314=0.25Time two8840=0.214=0.25Time three111140=0.27514=0.25Time four9940=0.22514=0.25Total4011
Step 2
a) The experimental probability of a student picking time 4 is =0.225<0.25
So the given statement is false.
b) The theoretical probability of a student picking time 2 is 25%. This statement is true.
c) The size of sample space is 40. Because there are 40 students. So this statement is true.
d) The size of sample space is not 4. So this statement is false.
e) The experimental probability of a student picking time 3 is =0.275>0.25
So the given statement is true.
Answer: (b), (c), (e)

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