I quickly grab a handful before being caught before

one day. I quickly grab a handful before being caught. Before shoving them into my mouth to get rid of
the evidence, I notice that I have selected 6 red M&M’s and no green ones. Let’s say there were 8 green
and 10 red M&M’s in the bowl before my discovery. What is the probability of this event occurring?
5.37 A political committee consists of seven Democrats and five Republicans. A subcommittee of six
people needs to be formed from this group. Determine the probability that this subcommittee will
consist of the following:
a) two Democrats and four Republicans if they were randomly selected
b) four Democrats and two Republicans if they were randomly selected
BUSA 3050 – Business Statistics – Due March 1, 2014 – By 8:00pm.
For chapter 5 do problems 2,4,7,8,9,10,12,13,14,16,18,22,24,25,26,27,30,32,35,37,38

c) three Democrats and three Republicans if they were randomly selected
d) Calculate the mean and standard deviation of this distribution.
e) Verify these results with Excel.
5.38 I have a statistics class of 20 students, of whom 12 are female. I randomly select 3 students to make
a group presentation to the class. What is the probability of the following occurring?
a) All of the students in the group are male.
b) One of the students in the group is male.
c) Two of the students in the group are male.
d) All three students in the group are female.
e) Calculate the mean and standard deviation of this distribution.
f) Verify these results with Excel.
BUSA 3050 – Business Statistics – Due March 1, 2014 – By 8:00pm.
For chapter 5 do problems 2,4,7,8,9,10,12,13,14,16,18,22,24,25,26,27,30,32,35,37,38