Solving Binomial Equations, normal distribution and others help

Solving Binomial Equations, normal distribution and others help




Alright so yes these equations are part of a homework set i received and these are the only questions out of 50 that I couldnt solve. I have no idea how to solve these and would like some assistance. Thanks.



1. For a population of 9 of highschool studentsthe following information was determined about Math SAT scores. Mean=521 SD=60. The scores were normally distributed. What is the probability that the score was:

(>600)

(between 480 and 575 inclusive)

(<440)

(what is the minimum score needed to finish in top 6%)





2. 42% of students never receive a grade of A from a professor. What is the probability that at least 10 students have received an A in a sample of 25?





3. Repeat above using normal distribution approach.





4. Determine 95% CI for mean = 400, SD = 48 and N=36





5. What sample size would you need so that the error margin is within +-5





6. In a survey of 1200 students, 648 say they study about an hour a night. Determine a 90% CI for the schools population.





7. Find the sample size so that E is within =- .016



Please and thank you.





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