Question

This tree diagram shows the tossing of an unfair coin followed by drawing one bead from a cup containing 3 red (R), 5 yellow (Y) and 4 blue (B) beads.

For the coin, P(H) = 2/3 and P(T) = 1/3 where H=heads and T=tails.

Find the following probabilities. Enter your answer in decimal notation rounded to four decimal places.

find

P(R l H)

P(H l R)

P(B l T)

P(T l B)

P(T or Y)

Answer #1

(a)

(b)

(c)

(d)

(e)

An unfair coin is such that on any given toss, the probability
of getting heads is 0.6 and the probability of getting tails is
0.4. The coin is tossed 8 times. Let the random variable X be the
number of times heads is tossed.
1. Find P(X=5).
2. Find P(X≥3).
3. What is the expected value for this random variable?
E(X) =
4. What is the standard deviation for this random variable? (Give
your answer to 3 decimal places)
SD(X)...

Consider the following game. You flip an unfair coin, with P(H)
= 1/4 and P(T) = 3/4, 100 times. Every time you flip a heads you
win $8, and every time you flip a tails you lose $3. Let X be the
amount of money you win/lose during the game. Justify your answers
and show all work. Compute E(X) andCompute V (X).

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.
two coins are tossed, find the probability that two heads are
obtained. note: each coin has two possible outcomes H (heads) and T
(tails).
2. which of these numbers cannot be a probability? why?
a) -0.00001
b) 0.5
c) 20%
d)0
e) 1
3. in a deck of 52 cards, what is the probability of drawing a
three of spades, and then a four of clubs, without
replacement?
4. what is the probability of the same outcome in #3,...

A biased coin (one that is not evenly balanced) is tossed 6 times.
The probability of Heads on any toss is
0.3. Let X denote the number of Heads that come up.
1. Does this experiment meet the requirements to be considered a
Bernoulli Trial? Explain why or why
not.
2. If we call Heads a success, what would be the parameters of the
binomial distribution of X?
(Translation: find the values of n and p)
3. What is the...

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,...

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