1.Suppose we have two bowls full of candies. Each bowl contains four different flavours of candy...
1.Suppose we have two bowls full of candies. Each bowl contains four different flavours of candy – grape (which are purple), lemon (which are yellow), cherry (which are red) and raspberry (which are also red).
(a) [1 Mark] We will randomly select one candy from each bowl. The outcome of interest is the flavour of each of the two candies. Write out the complete sample space of outcomes.
(b) [1 Mark] Suppose instead that we randomly select one candy from each bowl, and the outcome of interest is the colour of each of the two selected candies. Write out the complete sample space of outcomes.
Now suppose: Bowl # 1 contains 2 grape candies, 7 lemon candies, 8 cherry candies and 3 raspberry candies.
Bowl # 2 contains 6 grape candies, 5 lemon candies, 2 cherry candies and 7 raspberry candies.
(c) [1 Mark] What is the probability that the two selected candies are the same flavour?
(d) [1 Mark] What is the probability that the two selected candies are different colours?
(e) [1 Mark] What is the probability that the first selected candy is lemon or that the second selected candy is cherry?
(f) [1 Mark] Let X be the number of grape candies that are selected. Find the probability distribution of X.
Homework Answers
Add Answer to:
1.Suppose we have two bowls full of candies. Each bowl contains
four different flavours of candy...
A basket of candy contains 2 grape, 3 orange, and 5 cherry candies. The candy is...
A basket of candy contains 2 grape, 3 orange, and 5 cherry candies. The candy is not replaced once selected. Find each probability. a) P(two orange) b) P(grape then cherry) c) P(orange then grape)
We buy a bag of lime and cherry candies from a new manufacturer who uses candy wrappers colored red and green. The wrapp...
We buy a bag of lime and cherry candies from a new manufacturer
who uses candy wrappers colored red and green. The wrapper for each
candy is selected probabilistically depending on the flavor. Notice
that the corresponding probability model has three
parameters
as shown below. Suppose we unwrap N candies, of which c are
cherries and l are limes. The wrapper counts are as follows: rc of
the cherries have red wrappers and gc have green, while rl of the...
A bowl contains 11 marbles of which 7 are red, 3 are white, and 1 is...
A bowl contains 11 marbles of which 7 are red, 3 are white, and 1 is black. One marble is selected at random from the bowl and the color is observed. The possible outcomes are {red, white, black} Is each outcome equally likely? Which outcome is more likely? P ( W h i t e ) = Give answer as a fraction.
Recall the cookie problem from lecture. We have two bowls, Bowl 1 and Bowl 2. Bowl...
Recall the cookie problem from lecture. We have two bowls, Bowl 1 and Bowl 2. Bowl 1 contains 25% chocolate and 75% vanilla cookies; Bowl 2 has 50% of each. For this problem, assume each bowl is large enough that drawing a single cookie does not appreciably alter this ratio. Suppose we draw two cookies from the bowl and they are both chocolate. Calculate the posterior probabilities of the two bowls in two ways: (a) by treating the two cookies...
Consider: two unopened bags of candy (one Skittles, the other M&M's). The manufacturers state the distribution...
Consider: two unopened bags of candy (one Skittles, the other M&M's). The manufacturers state the distribution of coloured candies is: M&M's: 23% blue, 21% orange, 17% green, 13% yellow, 12% red, 14% brown Skittles: colours are reportedly distributed evenly, meaning each colour (red, orange, green, blue, yellow, and purple) has a probability of 1/6. Assume that both of these unopened bags have the same number of candies. If they are opened and mixed, and one candy is randomly selected, what...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select one candy from each bag. The random variable x represents the number of blue candies selected. The selected candy can be classified as either being blue (B) or not being blue (N). Answer the following questions based on this data. As always, you must show all work and formulas used in order to receive full credit. Round all decimals to three places 1. Draw...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and 2 contains four gold coins and six silver coins. Hat 3 contains olour of each of the three selected coins. List the three copper coins. Hat three gold coins and seven copper coins. We randomly select one coin f and seven copper coins. We randomly select one coin from each hat (a) The outcome of interest is the complete sample space of outcomes and...
Suppose there are two full bowls of cookies. Bowl #1 has 13 chocolate chip and 22...
Suppose there are two full bowls of cookies. Bowl #1 has 13 chocolate chip and 22 plain cookies, while bowl #2 has 29 of each. Our friend Fred picks a bowl at random, and then picks a cookie at random. The cookie turns out to be a plain one. What is the probability that Fred picked Bowl #1?
Suppose there are two full bowls of cookies. Bowl #1 has 11 chocolate chip and 22...
Suppose there are two full bowls of cookies. Bowl #1 has 11 chocolate chip and 22 plain cookies, while bowl #2 has 23 of each. Our friend Fred picks a bowl at random, and then picks a cookie at random. The cookie turns out to be a plain one. What is the probability that Fred picked Bowl #1?
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains...
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains three gold coins, six silver coins and one copper coin. (A) You will randomly select one coin from each of the two hats. The outcome of interest is the colour of each of the selected coins. Give the complete sample space of possible outcomes, and calculate the probability of each outcome. (B) What is the probability that the two selected coins are the same...
We buy a bag of lime and cherry candies from a new manufacturer
who uses candy wrappers colored red and green. The wrapper for each
candy is selected probabilistically depending on the flavor. Notice
that the corresponding probability model has three
parameters
as shown below. Suppose we unwrap N candies, of which c are
cherries and l are limes. The wrapper counts are as follows: rc of
the cherries have red wrappers and gc have green, while rl of the...
Bags of plain M&Ms contain 24% blue candies. You have four bags of candy and select one candy from each bag. The random variable x represents the number of blue candies selected. The selected candy can be classified as either being blue (B) or not being blue (N). Answer the following questions based on this data. As always, you must show all work and formulas used in order to receive full credit. Round all decimals to three places 1. Draw...
Three hats each contain ten coins. Hat 1 contains two gold coins, five silver coins and 2 contains four gold coins and six silver coins. Hat 3 contains olour of each of the three selected coins. List the three copper coins. Hat three gold coins and seven copper coins. We randomly select one coin f and seven copper coins. We randomly select one coin from each hat (a) The outcome of interest is the complete sample space of outcomes and...
Hat #1 contains four gold coins, one silver coin and five copper coins. Hat #2 contains three gold coins, six silver coins and one copper coin. (A) You will randomly select one coin from each of the two hats. The outcome of interest is the colour of each of the selected coins. Give the complete sample space of possible outcomes, and calculate the probability of each outcome. (B) What is the probability that the two selected coins are the same...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago