A container has 7 blue balls, 2 red balls, and 4 green balls. with replacement,

Question

A container has 7 blue balls, 2 red balls, and 4 green balls. with replacement, what is the probability that all three will be blue? If 3 balls are dra wn, 1. 2. In the class, there are 15 nursing majors, of whom 8 are over 25 years old and 12 psychology majors, of whom 5 are over 25. If one student is selected at random, what is the probability of selecting a nursing major or a student who is over 25? A poll states that 45% of the workers in a large company are married. If3 workers are selected at random, what is the probability that all are married? 3, Hoboken Jersey City Bayonne Credits 1-5 6-10 11-15 10 4 2 14 12 2 10 4. In a survey, students were asked where they live and how many credits they were taking. If a student is selected at random, what is the probability that the student has 1-5 credits given that the student lives in Bayonne? The employee ID is 395047. In how many ways can the numerals in the ID be arranged in numerical order? 5.

Explanation / Answer

Ans:

1)

Total number of balls=7+2+4=13

Probability of getting a blue ball=7/13

Probability of getting 3 balls with replacement=(7/13)^3=0.1561

2)

P(over 25)=(5+8)/(15+12)=13/27

P(nursing major)=15/27=5/9

P(nursing major and over 25)=8/27

P(nursing major or over 25)=P(nursing major)+P(over 25)-P(nursing major and over 25)

=(5/9)+(13/27)-(8/27)=0.74

3)

P(all are married)=0.45^3=0.0911

4)

P(1-5/Bayonne)=P(1-5 and Bayonne)/P(Bayonne)

=2/20=0.1

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