Question

There is a classroom of students, 12 males and 10 females, of
which seven students are chosen at random to go to the board. Give
each answer rounded to four decimal places in the form
0.1234.

a.) What is the probability that no boys are chosen?

b.) What is the probability that the first three students chosen are boys?

c.) What is the probability that at least two girls are
chosen?

d.) What is the probability that at least three boys are
chosen?

Answer #1

From a group of 10 boys and 12 girls, a committee of 5 students
is chosen at random.
a. What is the probability that all 5 members on the committee
will be girls?
b. What is the probability that all 5 members of the committee
will be boys?
c. What is the probability that there will be at least 1 girl on
the committee?
(please show all the work, as I am very confused)

1. Three people are selected at random from four females and
seven males. Find the probability of the following. (See
Example 4. Round your answers to three decimal places.)
At least one is a male?
At most two are male?
a) A tray of electronic components contains 23
components, 5 of which are defective. If 4 components are selected,
what is the possibility of each of the following? (Round your
answers to five decimal places.)
that all 4 are defective?
that 3...

Exercise 0.4. (a) Six students, three boys and three girls, line
up in a random order for a photograph. (a) What is the probability
that the boys and girls alternate? (b) How does the answer change
if there are seven students, four girls and three boys?

The blood center is
interested in determining which gender - males or females - is more
likely to respond to a call to give blood. Random, independent
samples of 63 females and 99 males were each asked if they would be
willing to give blood when called by a local hospital. Suppose 33
of the females and 50 of the males responded that they were.
Find the
margin of error for a 90% confidence interval that
would be used to...

suppose there are 10 female students and 30 male students in a
classroom. the students are leaving the classroom at random one by
one.
what is the probability P(L) that the first five students leave
the class in the following order: female, male, female, female and
male.
so P(L) is?

There are 18 students in this class….5 girls, 13 boys.
1. What is the probability that a group of 5 boys will be
chosen?
2. What is the probability that at least 2 girl will be chosen
for a group of 3?
3. What is the probability that 7 or less boys will be chosen
for a group of 10?

A mathematics professor wishes to schedule an appointment with
each of his seven advisees, five males and two females, to discuss
their grades. Suppose all possible arrangements of appointments are
equally likely to be selected
a) What is the probability that after the first three meetings
with advisees, the professor has met with at least one male
advisees?
b) What is the probability that after the first four meetings
with advisees, the professor has met with all female advisees?

A recent study of high school students shows the percentage of
females and males who have at LEAST one notation in their school
record for inappropriate behavior. A simple random sample of high
school students was interviewed. The students were asked whether
they had a notation for inappropriate behavior in their school
record. Of the 100 females, 21 answered yes, as did 145 of the 400
males.
Part A: Construct and interpret a 99%
confidence interval for the difference in...

1. The blood center is interested in determining which gender -
males or females - is more likely to respond to a call to give
blood. Random, independent samples of 68 females and 87 males were
each asked if they would be willing to give blood when called by a
local hospital. Suppose 32 of the females and 44 of the males
responded that they were. Find the margin of error for a 90%
confidence interval that would be used...

A class has 10 boys (including Doug) and 8 girls (including
Cathy).
If 3 students are chosen at random to be studyhall monitors,
what is the probability that Doug is selected but Cathy is not?

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