Question

1. A newspaper story on AIDS reports that an allele (R) confers complete resistance to HIV when homozygous and that 2% of the human population is resistant (RR). The story also states that 25% of the population carries one copy of the resistance allele (ie. Is heterozygous). Is this a guess, an approximation or an exact frequency, assuming that the population is in Hardy-Weinberg equilibrium? Show your calculation indicating the values of p and q. (3 points) 2. A new kind of geranium is produced that develops only blue or white flowers. Assume that the flower color is controlled by a single-gene locus, and that the blue allele (B) is dominant to the white allele (b). A random sample of 1000 geraniums from a large cultivated field yields 812 blue flowers and 188 white flowers. a. Determine the frequency of the blue and white alleles in this field population. b. Estimate the proportion of all blue flowering plants that are heterozygotes and homozygotes. Show your calculations. (7 points)

          1. A newspaper story on AIDS reports that an allele (R) confers complete resistance to
HIV when homozygous and that 2% of the human population is resistant (RR). The
story also states that 25% of the population carries one copy of the resistance allele
(ie. Is heterozygous). Is this a guess, an approximation or an exact frequency,
assuming that the population is in Hardy-Weinberg equilibrium? Show your
calculation indicating the values of p and q. (3 points)
2. A new kind of geranium is produced that develops only blue or white flowers.
Assume that the flower color is controlled by a single-gene locus, and that the blue
allele (B) is dominant to the white allele (b). A random sample of 1000 geraniums
from a large cultivated field yields 812 blue flowers and 188 white flowers.
a. Determine the frequency of the blue and white alleles in this field population.
b. Estimate the proportion of all blue flowering plants that are heterozygotes and
homozygotes.
Show your calculations. (7 points)

Show more…

1. A newspaper story on AIDS reports that an allele (R) confers complete resistance to
HIV when homozygous and that 2% of the human population is resistant (RR). The
story also states that 25% of the population carries one copy of the resistance allele
(ie. Is heterozygous). Is this a guess, an approximation or an exact frequency,
assuming that the population is in Hardy-Weinberg equilibrium? Show your
calculation indicating the values of p and q. (3 points)
2. A new kind of geranium is produced that develops only blue or white flowers.
Assume that the flower color is controlled by a single-gene locus, and that the blue
allele (B) is dominant to the white allele (b). A random sample of 1000 geraniums
from a large cultivated field yields 812 blue flowers and 188 white flowers.
a. Determine the frequency of the blue and white alleles in this field population.
b. Estimate the proportion of all blue flowering plants that are heterozygotes and
homozygotes.
Show your calculations. (7 points)

Added by Joseph S.

Biology for AP Courses

Julianne Zedalis, John Eggebrecht

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Solved by Expert Madhur L

05/23/2023

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A newspaper story on AIDs reports that an allele (R) confers complete resistance to HIV when homozygous and that 2% of the human population is resistant (RR). The story also states that 25% of the population carries one copy of the resistance allele (ie. Is Show more…

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Transcript

00:01 Hello everyone, so in this question we are given a newspaper story based on the aids.

00:08 So this report says that there is an allele which confers complete resistance to the hiv when it is homozygous, that is when it is in the homozygous form.

00:28 So this is of 2 % and story also states that 25 % of the population carries one copy which means they are heterozygous and which is of 25%.

00:51 So we are here asking for a guess or an approximation or an exact frequency assuming that this population is in the hardy -weinberg equilibrium.

01:12 Also to show our calculation indicating the values of p and q.

01:18 So we know that the hardy -weinberg equilibrium follows this equation that is p square plus 2 pq plus q square equal to 1 and another equation is that p plus q equal to 1.

01:33 So we can denote this equation as number 1 and this equation as a number 2.

01:39 Now we will substitute this that is before going into that this p is for dominant allele and the q is for recessive allele.

01:54 So here the dominant is the one which confer complete resistance which is of 2%.

02:01 So here 2 % means 0 .02.

02:05 Then coming to the recessive we are given we are here not given recessive but we are given this heterozygous that is pq which means the combination of this dominant and recessive that is a heterozygous.

02:20 So this 2 pq is given as a 25 population.

02:25 Here it is the r and the lower case r which is equal to 0 .25.

02:32 Now we will put this p value in this equation.

02:38 We will see that so we get the p value that is root 0 .02.

02:43 So we will put this equation in 2.

02:46 Therefore p plus q is equal to 1 in which the p is here non -value now.

02:53 Therefore q is equal to 1 minus p which implies 1 minus root 0 .02 which is approximately equal to 0 .85.

03:06 So we can say this is approximately equal to 0 .8586.

03:14 Now here p square is equal to 0 .02 and p is equal to root 2.

03:20 Therefore the p value is equal to square root of 0 .2 which is approximately equal to 1414 and q is equal to 0 .8586.

03:31 So these are the values of p and q...

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