Biology, 14.02.2020 22:25 epmooneyham7372

According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white offspring in the ratio 9:5:4. Find the probability that among 12 offspring, 6 will be red, 3 black and 3 white.

Answers: 2

Show answers

Answers

Answer from: FireFlight

The probability that among 12 offspring, 6 will be red, 3 black and 3 white will be ≅ 0.058

Explanation:

A certain cross of guinea pigs will result in red, black, and white offspring in the ratio 9:5:4

Red

p1 = $\frac{9}{9 + 5 + 4} = 0.5$

Black

p2 = $\frac{5}{9 + 5 + 4} = 0.28$

White

p3 = $\frac{4}{9 + 5 + 4} = 0.22$

Find the probability that among 12 offspring, 6 will be red, 3 black and 3 white

x1, x2, x3 = represent the number of red, black and white offspring among 12

n = 12 (independent trials) --> each trial can result in 3 outcomes (red, black, and white) with probabilities of p1 = 0.5; p2 = 0.28; p3 = 0.22

Applying the multinomial distribution

f(x1, x2, x3; p1, p2, p3, n) = (n x1, x2, x3) $p1^{x2} p2^{x2} p3^{x3}$

Find the probability of x1 = 6, x2 = 3, x3 = 3

f(6, 3, 3; 0.5, 0.28, 0.22, 12) = (12 6, 3, 3) $0.5^{6} 0.28^{3} 0.22^{3}$

= $(\frac{12!}{6! 3! 3!})$ 0.015 * 0.021 * 0.010

= 18480 (0.015 * 0.021 * 0.010)

≅ 0.058

Answer from: AskaWaya

The probability that among 12 offspring, 6 will be red, 3 black and 3 white will be ≅ 0.058

A certain cross of guinea pigs will result in red, black, and white offspring in the ratio 9:5:4

Red

p1 = $\frac{9}{9+5+4} =0.5$

Black

p2 = $\frac{5}{9+5+4} =0.28$

White

p3 = $\frac{4}{9+5+4}=0.22$

Find the probability that among 12 offspring, 6 will be red, 3 black, and 3 white

x1, x2, x3 = represent the number of red, black, and white offspring among 12

n = 12 (independent trials) --> each trial can result in 3 outcomes (red, black, and white) with probabilities of p1 = 0.5; p2 = 0.28; p3 = 0.22

Applying the multinomial distribution

f(x1, x2, x3; p1, p2, p3, n) = (n x1, x2, x3) $p1^{x2} p2^{x2} p3^{x3}$

Find the probability of x1 = 6, x2 = 3, x3 = 3

f(6, 3, 3; 0.5, 0.28, 0.22, 12) = (12 6, 3, 3) $0.5^{6 } 0.28^{3} 0.22^{3}$

= 0.015 * 0.021 * 0.010

= 18480 (0.015 * 0.021 * 0.010)

≅ 0.058

Thus, the probability among 12offspring, 6 will be red, 3 black, and 3 white here.

Learn more about the genetics theory of guinea pigs here:

Answer from: Quest

It allows water to resist freezing and thawing cycle.

Answer from: Quest

Centriole.centrioles are present in animal cells but are usually absent in plant cells.

Another question on Biology

Biology, 21.06.2019 20:00

Why can't you grow plants with adhesion water?

Answers: 1

Answer

Biology, 21.06.2019 23:30

Compare and contrast region e in the illustration above with region d. describe the physical characteristics of each region.

Answers: 1

Answer

Biology, 22.06.2019 03:30

Describe how a student should adjust the microscope to see the cells on a slide more clearly?

Answers: 1

Answer

Biology, 22.06.2019 07:30

Pls need ! in your opinion, what are the limiting factors that might affect the growth or diversity of our ecosystem? respond to this question in claim, evidence, reasoning format. 1. make your claim (i are the limiting factors that might affect the growth or diversity of our 2. follow the claim with 3 pieces of evidence. evidence may be taken from the reading, the videos, previous lessons, or googled answers. site sources, too. 3. use reasoning to explain why you chose your evidence.

Answers: 2

Answer

You know the right answer?

According to a genetics theory, a certain cross of guinea pigs will result in red, black, and white...

Questions