Question

In: Statistics and Probability

suppose 10 students get A's, 2 Students get B's 3 Students get C's, and one student...

suppose 10 students get A's, 2 Students get B's 3 Students get C's, and one student gets an F

If a committee is formed with 3 people, what is the probability that there are two people with an A and 1 with a C?

What is the probability of selecting a grade A student for the first time on either the 2nd or 3rd selection?

Solutions

Expert Solution

10 students get A's, 2 Students get B's 3 Students get C's, and one student gets an F

Total = 10 + 2 + 3 + 1 = 16

If a committee is formed with 3 people, what is the probability that there are two people with an A and 1 with a C?

P[ there are two people with an A and 1 with a C ] =

P[ there are two people with an A and 1 with a C ] =

P[ there are two people with an A and 1 with a C ] =

P[ there are two people with an A and 1 with a C ] = 0.2411

What is the probability of selecting a grade A student for the first time on either the 2nd or 3rd selection?

P[  grade A student for the first time on either the 2nd or 3rd selection ] = 1 -P[ grade A student for the first time on 1st selection ]

P[ grade A student for the first time on 1st selection ] =

P[ grade A student for the first time on 1st selection ] =

P[ grade A student for the first time on 1st selection ] =

P[  grade A student for the first time on either the 2nd or 3rd selection ] = 1 -

P[  grade A student for the first time on either the 2nd or 3rd selection ] =

P[  grade A student for the first time on either the 2nd or 3rd selection ] = 0.9832


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