Two different litters of kittens have been born: one with two brown-haired and one gray-haired (litter 1), and the other with three brown-haired and two gray-haired (litter 2). We select a litter at random and then select a kitten at random from the selected litter.
(Round all probabilities to four decimals)
a) What's the probability that the kitten chosen is brown-haired?
b) Given that a brown-haired kitten was selected, what is the probability that it was from litter 1?
Two different litters of kittens have been born: one with two brown-haired and one gray-haired (litter...
A friend has two kittens (one brown and the other black) and is offering one to you. You only want a kitten if it is female. The friend asks her veterinarian if at least one of the kittens is female. The veterinarian replies, “Yes!” What is the probability that if you select the black kitten, it is a female? List all of the possible outcomes given that at least one of the cats is a female.
One-Gene Crosses 1. In Drosophila, gray body color is dominant over black body color. By crossing a heterozygous gray-bodied fly with a black-bodied fly, one hundred offspring resulted. How many would be expected to have black bodies? 7 2. Albinism, the lack of pigment, occurs commonly in animals and is always recessive to normal pigmentation. Ten brown and eight albino mice were born to parents which were likewise brown and albino. What are the genotypes of both parents? 3. The...
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select four peanut M&M's from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that exactly three of the four M&M's are yellow. P(x = 3) Compute the probability...
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...
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select five peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that exactly two of the five M&M’s are yellow. Compute the probability that two or...
1) In a new lottery game called "Minibucks", you select four numbers between 1 and 29. If you match all four numbers with the four numbers chosen by the lottery that day, you win the jackpot. (It doesn't matter whether the order that the lottery selected the numbers matches the order that you selected the numbers). What is the minimum number of different Minibucks tickets you would need to buy for one drawing in order to be 100% certain to...
Problem 2. We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box nber 2 contains two black and one white ba Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one bal from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white We are going to find MAP estimate...
You plan to conduct a marketing experiment in which students are to taste one of two different brands of soft drink. Their task is to correctly identify the brand tasted. You select a random sample of 200 students and assume that the students have no ability to distinguish between the two brands. (Hint: If an individual has no ability to distinguish between the two soft drinks, then the two brands are equally likely to be selected.) What is the probability that the sample will have between 55% and 61%...
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box number 2 contains two black and one white ball. Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one ball from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white. We are going to find MAP estimate for the...
The image below represents a collection of numbered, colored cubes that have been placed in one of four colored bins. Imagine these props will be used in games of chance, like what you would see at a casino night fund raiser. To play, a contestant chooses a single cube from one of the bins. You will create the rules that determine whether they win or lose. Define rules for four different games. The rules for each game must specify what...