Question

For 2 independent exclusive events A and B, P(A) = 0.2 and P(not B) = 0.7. 1) What is P(A and B) ?

2) What is P(A or B) ? Assume just for this question that P(A
and B) = 0. 3) What is P(not A and B) ?

4) What is P(A and not B) ?

5) What is P(not A and not B) ?

6)Ifyouhavecardsnumbered 1 2 3 4 5 thathavetobeputin5places

___________ ___________ ___________ ___________ ____________

and an odd numbered card must be placed on each end (cards are not replaced when used), how many arrangements are there for these cards? (Hint: use multiplication rule.)

P

7) If there are 3 red and 7 blue M&Ms in a bag of 10 M&Ms, what is the probability of selecting 2 reds and 1 blue without replacement ?

8) Answer Question 7 with replacement .

For Questions 9 to 12, you are using a regular deck of cards.

9) What is P([king or ace] and heart) ? 10) What is P(7 and
diamond) ?

11) What is P(7 or diamond) ?

12) What is P(jack or 2 or 6) ?

Please use these height/weight category combinations for a group of children to answer Questions 13 to 15:

WEIGHT

abc A5 7 10

HEIGHTB8 11 13 C2 10 9

13) What is the probability that a child selected at random will have combination “Aa” ?

14) What is the probability that a child selected at random will be “a” if it is known that the height is “B” ?

15) What is the probability that a child selected at random will be “C” if it is known that the weight is “a” ?

16) If you have 20 CDs in your collection at home and you take 4 of them to listen to in your car, how many combinations of those 4 CDs can you make?

17) If 7 people have to fight for 5 remaining seats on a train, how many different permutations are there for these people?

If you are conducting a binomial experiment with p = 0.4 and n = 10:18) What is the mean AND standard deviation of successes?

19) What is P(x = 0)?

20) What is P(x = 1)?

21) What is P(x = 2)?

22) What is P(x ≤ 2)?

BONUS:

What values of P(x) would make this a valid discrete probability distribution?

x P(x) 1 0.6

23 0.1 4

Answer #1

7. Events A and B are independent. The P(A) = 3/5, P(not B) =
2/3. What is P(A and B)? a. 2/5 b. 1/5 c. 4/15 d. 2/15
8. A bag contains 4 red marbles, 3 blue marbles, and 7 green
marbles. If a marble is randomly selected from the bag, what is the
probability that it is blue? A) 1/11 B) 3/14 C) 1/7 D) 1/3
9. The distribution of the heights of students in a large class
is...

5. J and K are independent events. P(J | K) = 0.7. Find
P(J).
6. Suppose that you have 10 cards. 6 are green and 4 are
yellow. The 6 green cards are numbered 1, 2, 3, 4, 5, and 6. The 4
yellow cards are numbered 1, 2, 3, and 4. The cards are well
shuffled. You randomly draw one card.
• G = card drawn is green
• Y = card drawn is yellow
• E = card...

a) Suppose A and B are events such that P(A)=0.2, P(B)=0.6 and
P(A or B)=0.68. Are A and B independent events?
b) A small college athletics group has 40 members in four teams: 10
basketball players, 10 swimmers, 10 tennis players and 10 hockey
players. If 5 athlets are randomly selected (without replacement)
what is the probability that we get at least one athlet from each
team?
1.
a) yes b) 0.27
2.
a) not enough information
given b) 0.998...

Given that P(A) = 0.2 and P(B) = 0.3 and A and B are independent
events, compute P(A and B).
A
0.06
B
0.50
C
0.70
D
0.08
During the Computer Daze special promotion, a customer
purchasing a computer and printer is given a choice of 3 free
software packages. There are 15 different software packages from
which to select.
How many different groups of software packages can be selected?
A
455
B
45
C
2730
D
360,360
How many...

For independent events A and B, p(A and B)
= p(A)p(B).
True
False
2-There are 5C10 combinations of 5 objects
chosen from 10.
True
False
3-Students participating in a survey were asked how many
siblings they have. Is this variable quantitative or
qualitative?
a
Quantitative
b
Qualitative
4-Students participating in a survey were asked how many
siblings they have. What is the level of measurement for this
variable?
a
Nominal
b
Ordinal
c
Interval
d
Ratio

if you care the P things ive never been able to figure out what
each of those mean
Suppose that you have 11 cards. Four are Blue and Seven are Red.
The four Blue cards are numbered 1, 2, 3, 4. The seven red cards
are numbered 1, 2, 3, 4. 5, 6 ,7. The cards are well shuffled. You
randomly draw one card. (Leave probability as fractions)
• B = card drawn is blue
• E = card drawn...

1)From a deck of 52 cards two cards are drawn Without
replacement. What is the probability that both cards are
Queens?
2) From set of 12 books how many combinations are
there of 12 books taken 4 at a time?
3) A club has 15 members. They must elect a
Chairperson, a president, a treasure and a secretary
4) How many different permutations represent the
number of possible sets of officers?
5) Given the set of random variables...

Let A and B be two independent events such that P(A) = 0.17 and
P(B) = 0.63. What is P(A or B)? Your answer should be given to 4
decimal places.
An urn contains 27 red marbles, 20 blue marbles, and 42 yellow
marbles. One marble is to be chosen from the urn without
looking.
What is the probability of choosing a red or a blue marble?
Your answer should be rounded to 4 decimal places.

Suppose you are about to draw two cards at a random from a deck
of playing cards. Note that there are 52 cards in a deck.
a. What is the probability of getting a 7 and then a Queen (with
replacement)?
b. What is the probability of getting a 7 or a heart and then a
2 (with replacement)?
c. What is the probability of getting an Ace and then a Queen
(without replacement)?
d. What is the probability of...

1. Suppose A and B are independent events with probabilities
P(A) = 1/2 and P(B) = 1/3. Define random variables X and Y by X
=Ia+Ib, Y=Ia-Ib, where Ia, Ib are indicator functions (a) What is
the joint distribution of X and Y? (b) What is P(X less than 2, Y
greater than or equal to zero), (c) Are X and Y independent,
Justify

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 21 minutes ago

asked 29 minutes ago

asked 39 minutes ago

asked 47 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago