# SOLUTION: 33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. F ind the probability that the number who say cas

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: 33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. F ind the probability that the number who say cas      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 474197: 33% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite. F ind the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most tow. If convenient use technology to find the probabilities. (a) P(3)= round to the nearest thousandth as needed (b) P(x>_4)= round to the nearest thousandth as needed. (c) P(x_<2) = round to the nearest thousandth as needed. Thank you.Answer by solver91311(16868)   (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by , and which can be calculated in MS Excel using: =COMBIN(n,k) Part a) Hence: Which can be calculated using Excel: =BINOMDIST(3, 12, 0.33, FALSE) Part b) Hence: But this is equal to: Which can be calculated using Excel: =1 - BINOMDIST(3, 12, 0.33, TRUE) Part c) Hence: Which can be calculated using Excel: =BINOMDIST(2, 12, 0.33, TRUE) John My calculator said it, I believe it, that settles it