1). If a couple has two children, what is the probability that
they are both girls assuming that the older one is a girl?
2). Suppose that we have two dice, the first one being a regular
die, and the second weighted so that half the time it rolls a 1,
and half the time it rolls a 2 (it never rolls anything else). If
we choose one of these dice at random, and roll a 1, what’s the
probability...
In a family of 4 children, what is the probability that two of
the children are boys and two of the children are girls?
answer correct to 4 decimal places
Find the probability that in a family of 4 children there will
bea) At least 1 girlb) At least 1 boy and at least 1 girlc) Out of 1500 families with 3 children each how many would you
expect to have 1 or 2 girls.Assume that the probability of a female birth is 1/2.
Boys and Girls: Suppose a couple plans to have
two children and the probability of having a girl is 0.50.
(a) What is the sample space for the gender outcomes?
{bb, bg, gg}
{b,g}
{bb, bg, gb, gg}
{bb, gg}
(b) What is the probability that the couple has one boy and one
girl?
1
3
1
4
1
2
3
4
(c) What is the probability that the couple will have at least one
girl?
1
4
1...
A married couple has 3 children. What is the probability that
they have 2 boys and one girl? Note: you can assume that for each
birth, p(girl) = 0.5, p(boy) = 0.5.
Helen has two children. Assume that the probability of each
child being a girl is 50%, and is independent with the gender of
the other child. Given that at least one of Helen’s children is a
girl, what is the probability that the other child is a boy?
(A) 1/3 (B) 1/2 (C) 2/3 (D) 3/4 (SHOW WORK)
a) A coin is flipped 6 times, find the probability of
getting exactly 4 heads. Hint: The Binomial Distribution
Table can be very helpful on questions 19-21. If
you use the table for this question, give your answer exactly as it
appears. If you calculated your answer, round to the
thousandths place.
b) A coin is flipped 6 times. Find the probability of getting at
least 3 heads. If you used a table to help find your answer, give
it to the thousandths place....
Shipments of raw materials are on time with probability
0.9.
Find the probability that exactly one shipment out of the next
five is LATE.
r.v. X=
X~
P(X?
Find the probability that the fifth shipment is the first LATE
one.