MATHEMATICS COLLEGE

For a certain breed of dog, suppose the offspring of a black dog is black with probability 0.6 and brown with probability 0.4. Also for this breed, suppose the offspring of a brown dog is black with probability 0.2 and brown with probability 0.8. If Rex is a brown dog of this breed, what is the probability that his grand-pup will be black?

Answers

Answer 1
Answer:

Answer:

0.28

Step-by-step explanation:

For a certain breed of dog,

OFFSPRING OF A BLACK DOG:

Is black = 0.6          Is brown = 0.4

OFFSPRING OF A BROWN DOG:

Is black = 0.2          Is brown = 0.8

If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?

The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.

The probability that his black pups produce black pups:

0.2 × 0.6 = 0.12

The probability that his brown pups produce black pups:

0.8 × 0.2 = 0.16

The probability that his grand pup will be black = 0.12 + 0.16 = 0.28
Answer 2
Answer:

Final answer:

The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.

Explanation:

In this problem, you're looking at the probability of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a conditional probability problem.

The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the probability that Rex's grandpup will be black is 12%.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

Related Questions

What is the answer to this, please?
PLEASE HELP ASAP :))) 1. Consider the following standard:Understand that polynomials form a system analogous to the integers, namely, theyare closed under the operations of addition, subtraction, and multiplication; add,subtract, and multiply polynomials.What does it mean to say that polynomials form a system analogous to integers, asrelated to closure?
f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​
Use natural logarithmics to solve the equation round to the nearest thousandth 3e^2x +5=26
Do phone surveys provide adequate coverage of households with respect to one particular parameter? The parameter is the proportion of households without children. If telephone surveys provide adequate coverage of households, then p , the proportion of households without children in the set of all future samples reached by phone, must be equal to the proportion of households without children in the population of all households. Suppose that Thomas, a market analyst, contacts a simple random sample of 300 households as part of a national telephone survey. Of the households contacted, 129 households, or 43 %, have no children and 57 % have at least one child. The most recent census indicates that 48 % of all households have no children and 52 % have at least one child.

What is the quotient and remainder of 773 divided by 8

Answers

96 with a remainder of 5.

Someone help pls!!! Thanks

Answers

Answer:

The answers are A and C

Step-by-step explanation:

A is correct because -16 is on the left of the number line.

Solve for X
x+3 1/3=8 1/2

Answers

Answer:x= 31/6

Step-by-step explanation:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

According to a past survey, 23% of Americans have hypertension. After a stringent regimen of diet and exercise, 75 people were then tested and 18 were found to have hypertension. Based on this sample, does diet and exercise reduce hypertension? Use a significance level of 0.05.a) yesb) no

Answers

Answer:No, Diet and exercise does not reduce hypertension.

Step-by-step explanation:

Since we have given that

p = 0.23

n = 75

x = 18

So, \hat{p}=(x)/(n)=(18)/(75)=0.24

So, hypothesis would be

H_0:p=\hat{p}\n\nH_a:\hat{p}<p

So, the test statistic value would be

z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\nz=\frac{0.24-0.23}{\sqrt{(0.23* 0.77)/(75)}}\n\nz=(0.01)/(0.049)\n\nz=0.204

At α = 0.05 level of significance, we get

critical value = 1.96

and 1.96>0.204.

so, we will accept the null hypothesis.

Hence, No, Diet and exercise does not reduce hypertension.

Helpppppp , quick answer with work pleaseeee​

Answers

Answer:

Step-by-step explanation:

√(x-2)+8=x\n\n√(x-2)=x-8\n

Square both sides,

x-2=(x-8)^(2)\n\nx-2=x^(2)-2*x*8+8^(2)\n\nx-2=x^(2)-16x+64\n\nx^(2)-16x+64=x-2\n\nx^(2)-16x+64-x+2=0\n\nx^(2)-17x+66=0

Sum = - 17

Product = 66

Factors = -6 , -11

x² - 6x -11x + (-6)*(-11) = 0

x(x - 6) -11(x - 6) = 0

(x-6) (x - 11) = 0

x -6 = 0   ; x - 11 = 0

x = 6   ; x =11

Here,  x = 6 is a extraneous solution

Write an inequality for a game that allows 2 and not more than 4 players

Answers

Answer:

2≤x≤4

Step-by-step explanation:

2 is less than/equal to x; x is less than/equal to 4
Other Questions
If the discriminant of a quadratic equation is 4, which statement describes the roots?
Wil someone help me convert all of these to metric, for those that can be.3 tablespoons vegetable oil 1 1/2 pounds skinless boneless chicken breastSalt and pepper2 teaspoons cumin powder2 teaspoons garlic powder 1 teaspoon Mexican Spice Blend1 red onion, chopped2 cloves garlic, minced1 cup frozen corn, thawed5 canned whole green chiles, seeded and coarsely chopped4 canned chipotle chiles, seeded and minced 1 (28-ounce) can stewed tomatoes1/2 teaspoon all-purpose flour16 corn tortillas 1 1/2 cups enchilada sauce, canned 1 cup shredded Cheddar and Jack cheeses
URGENT!! NEED HELP!! SOLVE FOR THE COS(
In one city, the ratio of households with pets tohouseholds without pets is 30 to 29. If 20,735 householdsdo not have pets, how many households have pets?A 21.450B 42,185C 40,779D 20.044