1). A West Coast university has found that about80% of its accepted applicants for enrollment in the freshman class will actually enroll. In 2012,1359applicantswere accepted to the university. Within what limits would you expect to find the size of the freshman class at this university in the fall of 2012? (Round your answers to the nearest whole number.)

lower limit_____ freshmen

upper limit______freshmen

2). The alleles for black (B) and white (b) feather color in chickens show incomplete dominance; individuals with the gene pair Bb have "blue" feathers. When one individual that is homozygous dominant (BB) for this trait is mated with an individual that is homozygous recessive (bb) for this trait, 1/2 will carry the gene pair Bb. Letxbe the number of chicks with "blue" feathers in a sample ofn=15chicks resulting from this type of cross.

(a) Does the random variablexhave a binomial distribution? If not, why not? If so, what are the values ofnandp?

Yes,xhas a binomial distribution withn= 15 andp= 0.25.

Yes,xhas a binomial distribution withn= 15 andp= 0.5.

Yes,xhas a binomial distribution withn= 2 andp= 0.25.

No,xdoes not have a binomial distribution because the probabilities of having "blue" feathers is not the same as the probabilities of having black or white feathers.

No,xdoes not have a binomial distribution because the trials are not independent.

(b) What is the mean number of chicks with "blue" feathers in the sample?

chicks

(c) What is the probability of observing fewer thanninechicks with "blue" feathers? (Round your answer to three decimal places.)

(d) What is the probability that the number of chicks with "blue" feathers is greater than or equal to10but less than or equal to13? (Round your answer to three decimal places.)