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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

See similar textbooks

Related questions

Q: Does e + z? have "fenetely mony gores in E explain.

A: Since you have posted a multiple question ,I will solve the first question for you. To get…

Q: 4. A small firn Two alterna estimated. A would be $1 a. Determir b. At what с. If expecte

Q: A research center claims that more than 26% of employees in a certain country have changed jobs in…

Q: Let x1, X2, X3 be a random sample from an exponential distribution with mean 0. Consider the three…

A: Solution

Q: Suppose that visitors to a state carnival which is open from 5 pm to 10 pm daily arrive according to…

A: For a non-homogenous Poisson process with rate λt, the number of arrivals in any interval is a…

Q: A purchaser of transistors buys them in lots of 20. It is his policy to randomly inspect 4…

Q: It is estimated that 10% of the vehicles entering Canada from the United States carry undeclared…

A: Given that n = 500, p = 0.10 p(x<50) = ?

Q: Suppose a simple random sample of size n-10 was drawn from a population of size N=1000 and the…

Q: Consider two perceptrons defined by the threshold expression True or false? Perceptron A is more…

A: Consider the given threshold expression, ω0+ω1x1+ω2x2>0 Here we have given that the perception A…

Q: In a decision tree leaf node with 7 positive examples and 13 negative examples, what would be the…

A: Given The positive examples in a decision tree leaf node x=7The negative examples in a decision tree…

Q: A die is loaded in such a way that the probability of the face with j dots turning up is…

A: Given A die is loaded in such a way that the probability of the face with j dots turning up is…

Q: Let x1, X2, X3 be a random sample from an exponential distribution with mean 0. Consider the three…

A: Solution

Q: Jung-kook of BTS and Lisa of Blackpink are doing an experiment with a cube labeled I through 6 in…

A: jung-kook of BTS and Lisa of blackpink are doing an experiment with a cube labeled 1 through 6 in…

Q: Suppose 4% of the toys in a batch will malfunction. Use the Poisson approximation to calculate the…

A: GIvenp=0.04n=400Let "x" be the defective toyx~Binomial(n=400,p=0.04)P(X=x)=(nx)(p)x(1-p)n-x ;…

Q: DA dzferendial equeadion of 2nd order has how many arbètrany Constants en the generel Soletion q @2…

Q: The probability that a soldier in particular region will be infected by a particular type of…

Q: Let X1,..., X,|A be iid Poisson(A), and let A ~ Gamma(a, B), with a, B are known. Give two reasons…

A: Given information: The probability density function of the random variable X is as given below:

Q: Suppose X has Pareto distribution with 0 = 1 and a = 1.5 (a) Find P(X > 2). (b) Estimate P(x > 2)…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Let X1, X2, ... , Xn be a random sample from N(μ, σ2). Find the Moment Generating Function of X̅.…

Q: In a study of pain relievers, 20 people were given product A, and all but 7 experienced relief. In…

A: Given,In product A -Total no. of people = 20No. of people experienced relief = 7No. of people failed…

Q: Assume that the length of a phone call in minutes is an exponential random variable X with parameter…

A: Solution: Let X be the length of a phone call. From the given information, X follows an exponential…

Q: d) Use Poisson approximation to find the probability that the sample contains at most 1defective…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Consider a random sample of a sizen taken for a population with an exponential ribution…

A: Exponential distribution: A random variable X is said to have an exponential distribution with a…

Q: A research center claims that more than 29% of employees in a certain country have changed jobs in…

A: Consider that p is the true proportion of employees who have changed jobs in last three years.

Q: 5. Suppose that the probability of a defect in a foot of magnetic tape is 0.002. Use the Poisson…

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: Suppose that when a transistor of a certain type is subjected to an accelerated life test, the…

A: Given: X = lifetime in weeks α=5β=8 X ~ Gamma (5, 8) Probability of of lifetime of 1 week to 40…

Q: Get the moment-generating function and based on it, calculate the average and variance of X

Q: Suppose X - N(u, o?) where o is known. Let X1, X2,.... X, be a random sample of size n. Prove that u…

Q: oy be regarded as a RV having an Erlang distribution with A = 1 and k = n In. If the sales cost is…

Q: It is known that 4% of the light bulbs produced by a certain factory have short life span. Arandom…

A: Solution: 10. Let X be the number of light bulbs have short life span. From the given information,…

Q: Suppose the random variable X is distributed as N(µ, o?). Choose a transformation g such that Y =…

A: Solution

Q: There are two competing designs for a certain semi- conductor circuit. The lifetime of the first (in…

A: a) Let X denote the lifetime of first circuit and Y denote the lifetime of second circuit. Simulate…

Q: A researcher obtained the following results for a stock price: Pt = 0,999Pt-1 + εt with R2=0,99 and…

A: A test of stationarity (or nonstationarity) that has become widely popular over the past several…

Q: Prove that for a random sample of size n, X, X2 X, taken from a finite population s - (, - i) Σ n…

Q: Suppose the time it takes a data collection operator to fill out an electronic form for a database…

A: Obtain the probability that a person takes less than 4 minutes to fill out an electronic form. The…

Q: Let X1,..., Xn be a random sample from a uni form(0,0 + 1). Let 01 = X – 0.5 and 02 = max(X1,...,…

Q: In the simple regression model (5.16), under the first four Gauss-Markov assumptions, we showed tha…

A: The regression equation is given below, Here,

Q: 6) Calculate the probability that a particle in a 1-D box of length L is found between 0.18L and…

A: To Determine :- The probability that a particle in a 1-D box of length L is found between 0.18L…

Q: Q1 Show that the simple random walk with p < visits only finitely many states on the positive axis.

A: Given that the simple random walk with p<12 visits only finitely many states on the positive…

Q: From a sample with n=32, the mean number of televisions per household is 2 with a standard deviation…

Q: Let X be the height of a randomly chosen plant from a field. In order to estimate the mean and…

A: Given data is170.1 , 168.0 , 157.9 , 166.8 , 169.1 , 178.5 , 171.4sample size(n)=7

Q: Q1 Show that the simple random walk with p< visits only finitely many states on the positive axis.

A: Given that the simple random walk with p<12 visits only finitely many states on the positive…

Q: 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.05 0.1 0.15 0.2 0.25 0.3

Q: Find the rth moment of the random variable X in terms of its characteristic function ф., (о)

Q: A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under…

A: From the provided information,

Q: Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2 If σ2 is…

A: Given: confidence level = 0.95 Margin of error E = σ4 Formula Used: n = Zα/2×σE2

Q: Let X1,..X, be a sample from normal with mean and variance 1, and consider the sequence of…

Question

Video Video

Expert Solution

Step 1

The probability of making a mistake in a step is given as,

$\Rightarrow P (m i s t a k e) = δ$

Then according to the property of complementary events,

$\begin{array}{rcl} P (n o t m a k i n g a m i s t a k e) & = & 1 - P (m i s t a k e) \\ = & 1 - δ \end{array}$

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.

Step by step

Solved in 2 steps

Knowledge Booster

$Translations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

A purchaser of transistors buys them in lots of 20. It is his policy to randomly inspect 4components from a lot and to accept the lot if at least 3 are nondefective. Suppose eachlot contains exactly five defective transisters. What proportion of lots are rejected?
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?
A research center claims that at least 22 % of adults in a certain country think that their taxes will be audited. In a random sample of 1000 adults in that country in a recent year, 19 % say they are concerned that their taxes will be audited. At alpha equals0.10 , is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.
Random samples of 900 people in the United States and in Great Britain indicated that 60% of the people in the United States were positive about the future economy, whereas 66% of the people in Great Britain were positive about the future economy. Does this provide strong evidence that the people in Great Britain are more optimistic about the economy (alpha = 0,01)?
A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…
An entomologist writes an article in a scientific journal that claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. A) H 0 : p > 0.0016 H 1: p ≤ 0.0016 B) H 0 : p = 0.0016 H 1: p > 0.0016 C) H 0 : p = 0.0016 H 1: p < 0.0016 D) H 0 : p < 0.0016 H 1: p ≥ 0.0016
A certain sample of E. Coli has 2.5 times the population every hour. If the sample began with 50 cells, which of the following is closest to the population of the sample after 4 hours?
A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 30% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.
Let X1, X2, ... , Xn be a random sample, normally distributed with mean μ and variance σ2If σ2 is unknown, find a minimum value for n to guarantee, with probability 0.90, that a 0.95 CI for μ will have length no more than σ/4 explain.
A geneticist working on peas has a single plant monohybrid Y/y (yellow) plant and, from a self of this plant,wants to produce a plant of genotype y/y to use as a tester. How many progeny plants need to be grown to be 95percent sure of obtaining at least one in the sample?
A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d below
From a sample with n=32, the mean number of televisions per household is 2 with a standard deviation of 1 television. Usung Chebychev's theorem, determin at least how many of the households have between 0 and 4 televisions