Question

In: Statistics and Probability

Question 1) A certain genetic trait affects, independently, 30% of progeny. Part A. If 5 progeny...

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?

Solutions

Expert Solution

R code: dbinom(15,50,0.30)

Output: 0.1223469

R code: pbinom(14,50,0.30)

Output: 0.4468316


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