Question

1. Choose the two conditions that verify a table of relative frequencies is a probability model.

Select one or more:

a. The sum of the probabilities for all of the possible outcomes is less than 1.

b. The sum of the probabilities for all of the possible outcomes equals 1 (or 100%).

c. There is at least one zero probability for an event.

d. All of the probabilities for the possible outcomes are at least zero and no larger than 1.

2.

Look at the Table below for the probability events of pulling colored marbles from a bag. What do we call the event “orange”?

Color | Probability |
---|---|

Blue | 0.32 |

Red | 0.23 |

Orange | 0 |

Green | 0.17 |

Purple | 0.28 |

Select one:

a. Nothing

b. Certain.

c. Unusual.

d. Impossible.

3.

You have a coin and 4 marbles each a different color: Red, Blue, Green and Yellow. Consider the experiment of flipping a coin and pulling 1 marble from a bag and recording that combination as one outcome. What would be the sample space? Are all outcomes equally likely? Choose the correct answer below.

Use H, T for heads and the first letter for each color:
**R**ed, **B**lue, **G**reen
and **Y**ellow.

Select one:

a. S = { HR, HB, HG, HY, TR, TB, TG, TY }. Yes these are all equally likely outcomes.

b. S = { H, T, R, B, G, Y }. Yes these are all equally likely outcomes.

c. S = { H, T, R, B, G, Y }. No these are NOT equally likely outcomes.

d. S = { HR, HB, HG, HY, TR, TB, TG, TY }. No these are NOT equally likely outcomes.

4.

Use the Sample Space from problem #3 and find P(G) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

5.

Use the Sample Space from problem #3 and find P(T) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

6.

Use the Sample Space from problem #3 and find P(T or G) = Answer.

Enter your answer as a decimal rounded to 3 decimal places if necessary.

Answer #1

Que.1

The sum of the probabilities for all of the possible outcomes equals 1 (or 100%).

All of the probabilities for the possible outcomes are at least zero and no larger than 1.

Que.2

Impossible event.

Que.3

S = { HR, HB, HG, HY, TR, TB, TG, TY }. Yes these are all equally likely outcomes.

Que.4

G = {HG, TG}

Thus,

Que.5

T = { TR, TB, TG, TY }

Que.6

By addition theorem,

Suppose you roll, two
6-sided dice Write any probability as a decimal to three place
values and the odds using a colon. Determine the following:
1. The probability
that you roll a sum of seven (7)
2. The odds for
rolling a sum of four (4) is
3. The odds against
the numbers on both dice being the same is
Suppose you have a bag
with the following marbles: four (4) red, six (6) pink, two (2)
green, and seven...

A fair six-sided die has two sides painted red, 3 sides painted
blue and one side painted yellow.
The die is rolled and the color of the
top side is recorded.
List all possible outcomes of this random experiment
Are the outcomes equally likely? Explain
Make a probability distribution table for the random variable
X: color of the top side
2. If a pair of dice painted the same way as in problem 1 is
rolled, find the probability...

M&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 9. You
suspect that the maker's claim is not true.
Observed Counts by Color...

a. There are 8 possible combinations of birth order for families
with 3 children (b = boy and g = girl): bbb, bbg, bgb, bgg, gbb,
gbg, ggb, ggg. Assume all outcomes are equally likely. You select a
three-child family at random. What is the probability that at least
one child is a boy, given that the first-born was a girl? Round
your answer to three decimal
b. A special deck of 20 cards has 5 that are red, 5...

Roulette USE SOFTWARE- In the
casino game of roulette there is a wheel with 19 black slots, 19
red slots, and 2 green slots. In the game, a ball is rolled around
a spinning wheel and it lands in one of the slots. It is assumed
that each slot has the same probability of getting the ball. This
results in the table of probabilities below.
Fair Table Probabilities
black
red
green
Probability
19/40
19/40
2/40
You watch the game at...

1) At a lumber company, shelves are sold inȱȱ5 types of wood, 4
different widths and 3 different lengths. How many different types
of shelves could be ordered?
2) A shirt company has 5 designs each of which can be made with
short or long sleeves. There are 4 different colors available. How
many differentȱȱshirts are available from this company? Find the
indicated probability. Round your answer to 2 decimal places when
necessary.
3) A bag contains 6 red marbles,...

1. A bat uses very high frequencies so:
a. He will kill the insects he's hunting
b. We won't hear them
c. The sound waves will be small compared to the
insects
d. The sound waves will be large compared to the
insects
e. He can tune in to KMET for the weather
report
2. Bees see somewhat into the ultraviolet. This is
because:
a. They use radar
b. They can see in the dark
c. They evolved with a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 3 minutes ago

asked 3 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 10 minutes ago