In: Statistics and Probability
Question 1) A certain genetic trait affects, independently, 30%
of progeny.
Part A. If 5 progeny are selected at random what is the probability
that exactly 3 have the genetic trait?
Part B. If 50 progeny are selected at random...
Part Bi. ...What is the approximate probability that exactly 15
have the genetic trait?
Part Bii. Use R to determine the actual answer to Part Bi.
Part C. If 50 progeny are selected at random...
Part Ci. ...What is the approximate probability that less than 15
have the genetic trait?
Part Cii. Use R to determine the actual answer to Part Ci.
Part Ciii. Time to make a mistake on purpose. In part Ci you had to
make a continuity correction. Try answering the same question but
without that continuity correction. How does your answer compare to
the actual answer?
R code: dbinom(15,50,0.30)
Output: 0.1223469
R code: pbinom(14,50,0.30)
Output: 0.4468316