Suppose that the probability of making a mistake in translation at each translational step is a small number, δ. Show that the probability, p, that a given protein molecule, containing n residues, will be completely error-free is (1 – δ)n.
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Suppose that the
The probability of making a mistake in a step is given as,
Then according to the property of complementary events,
Assuming that the translation of each step is an independent step.
Note that the probability of multiple independent events occurring simultaneously is equal to the product of each event occurring individually.
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- Suppose that a drug company wishes to test the effects of five new compounds on the growth rate of white rats. It is possible that rats within the same litter may have similar response. Hence blocks are defined as litters. Twenty-five rats within each of 4 litters are chosen at random from a large group of rats, and 5 rats of each litter are placed in one pen to be given one of the five treatments. Body weight gains (g/day/animal) on the pen basis are given in the following table after 3 months of feeding the compound. a. Does any difference exist among litters? b. Do all the compounds have the same effect on body weight gains?Suppose that a study was conducted to determine if there is a significant difference in the average temperature of individuals before and after COVID-19 boosters were given. The temperatures of a sample of individuals were obtained before the boosters were given. The following day, their temperatures were again measured. The table below shows the data in degrees Celsius. (10 points) Temperature before Temperature after one day. Determine If there is a significant difference in the average temperature of Individuals who were given boosters at 5% level of significance. Assume that the differences in the temperatures follow the normal distribution.The genetic of a human is the source of a disese., but only if you have the gene type a. The relative frequency of people with carrying two copies of a is 0.0001(aa), but one copy is 0.0198(Aa). Those not having the a-gene = 0.9801(AA) Even though you are carrying a you may not get the disese. You can get the disese without a. the probability of aa = 0.6, Aa= 0.02 and AA= 0.01 What is the probability that a random person has the disese? Given you have the disese, whats the probabilty for having genes aa, Aa or AA?
- Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1115adults from Country A, 1021 adults from Country B,1038 adults from Country C, and 1067 adults from Country D. At α=0.04, can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country? Assume the random samples are independent. Country A: 54%. Country B: 51%. Country C: 48%. Country D:37%. Part A: Choose the correct answer. A. H0:p1>p2 Ha:p1≤p2 B. H0:p1≤p2 Ha:p1>p2 C. H0:p1<p2 Ha:p1≥p2 D. H0:p1=p2 Ha:p1≠p2 E. H0:p1≠p2 Ha:p1=p2 F. H0:p1≥p2 Ha:p1<p2 Find the standardized test statistic. Use technology to calculate the P-value. Decide whether to reject or fail to reject the…Suppose 1.5% percent of the ball bearings made by a machine are defective and the ball bearings are packed 200 to a box. Compute the pf of the number of defective ball bearings in the box and compare it to the Poisson approximation.If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?
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