1You have a sample of 10 pea flowers 4 of them are white 6 p

1)You have a sample of 10 pea flowers. 4 of them are white, 6 purple. If you line them up in a row, how many different arrangements can you get?

Note: WWWWPPPPPP is one arrangement, WPWPPWPPPW is another arrangement, and so on.

You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this.

2)

In the U.S., about 15% of people are Rh negative for blood type. You take a sample of size 9. Figure out the following probabilities:

a) Pr{Y = 2} b) Pr{Y = 5} c) Pr{Y < 3} d) Pr{Y > 2}
(hint - use (c) to answer this)

3) Mendelian genetics predict that in Labrador retrievers (a type of dog), 25% should have brown coat color if both parents are heterozygous (the rest are black). You mate two parents and get a litter of 8 puppies. Calculate the following:a) The probability of 3 brown puppies. b) The probability of 2 brown puppies. c) The probability that 30% of the puppies will be brown

Solution

1). It is given that there are 6 purple flowers and 4 white flowers. Thus, the total number of flowers is = 10

The number of arrangements possible is = 10!/ 6! 4! = 7*8*9*10/ 4*3*2*1 = 7*2*3*5 = 210