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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Use the Wilcoxon signed rank test to see if there is a difference in the concentration of aluminum.…

A: Given…

Q: A conservation biologist is working on increasing population sizes of the silver-leaf lupine…

A: Solution:a) Effects of ANOVA:It is given that three different treatments assigned to different seeds…

Q: Show that for a sample of size 'n' drawn from N (µ, o²) the statistic u= 1 Ex; is the most efficient…

A: Answer: Using the given data,

Q: 00 Q3. Let ₁,...,xN be data in Rm with sample covariance C = NXXT. Suppose u; is an eigenvector of C…

A: This question seeks to prove that the sample variance of the projections of a set of data points…

Q: Let ¤1,..., IN be data in R" with sample covariance C = XXT. Suppose u; is an eigenvector of C…

A: Given information: The information about a random vector, covariance matrix and eigen values is…

Q: How many of these components leach having a failure rate of 0.005 failures per hour) must be placed…

A: Option A is correct answer

Q: 10. Let (1, 12, ., In) denote a random sample from the exponential distribution with parameter A.…

A: Given x1, x2, . . ., xn be random sample from the exponential distribution with parameter λ.

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

Q: Social distancing is an important measure to prevent the spread of COVID- 19. Assume that the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A research center claims that more than 25 % of employees in a certain country have changed jobs…

A: Given : Sample size = n = 260 p = 0.25 q = 1 - p = 1 - 0.25 = 0.75 p^ = xn = 78260 = 0.30…

Q: manufacturing company employs two devices to inspect output for quality control purposes. The first…

Q: A hospital keeps a record of the number of males and females in different age groups who contract a…

A: Please post the remaining questions separately. a) The chi-square test is a statistical measure used…

Q: 4. Urn R contains n red balls and urn B contains n blue balls. At each stage, a ball is selected at…

A: Given data Urn R contains n red balls and urn B contains n blue balls

Q: 4. Urn R contains n red balls and urn B contains n blue balls. At each stage, a ball is selected at…

A: Given Data: To show that the mean number of red balls in urn R after stage k is 12n1+1-2nk

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

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: A manufacturing company employs two devices to inspect output for quality control purposes.

Q: A study was conducted to determine the effect of washing time (15 mins, 30 mins) and washing…

A: In the given study, we have two independent variables: Washing time (15 min, 30 min) Washing…

Q: A biologist doing an experiment has a bacteria population cultured in a petri dish. After measuring,…

A: Infected Non- Infected 20% 80% Infected 80% 20% Non- Infected To find - The population…

Q: The contingency table shows the results of a random sample of former smokers by the number of times…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: Suppose that in the linear model Y₁ is correlated with the regressor X, and independent and…

A: The Linear model is yi=β0+β1xi+uithe error is ui(yi,xi) are the dependent and independent variables…

Q: A “Cobb–Douglas” production function relates production (Q) to factorsof production, capital (K),…

Q: pose that Tom is graduating with a CGPA a starting salary (in thousand dollars). A 95% prediction…

A: The CGPA of Tom given is 3.5 . To calculate the starting salary (in thousand dollars) , Using the…

Q: Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type…

Q: Information regarding a dependent variable y and an independent variable x is provided in the…

A: Given, Dependent variable = y Independent variable = x Σx = 90Σy = 340n = 4SSR = 1704S(y-y¯)(x-x¯) =…

Q: A least-squares regression line guarantees that: a) the sum of squared errors will be large b)…

A: As we stated from the name least.It will prform to get small sum of squared error

Q: Suppose 1.5% percent of the ball bearings made by a machine are defective and the ball bearings are…

A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…

Q: A manufacturing company employs two devices to inspect output for quality control purposes. The…

A: Given: For X Number of trials (n1) = 4 Probability of success (p1) = 0.993 For Y Number of trials…

Q: Suppose you are to fit a linear model which is forced to have an intercept equal to 5, of the form…

A: The given linear model is,Regression forms a basic tool in statistical analysis. It is highly useful…

Q: Consider a call option having the strike price K and exercise time t. Suppose further that the…

Q: Polymerase chain reaction (PCR) is a method widely used to diagnose COVID-19 infections. Suppose…

A: Given that, if a person does not have COVID-19, the test will be negative 84% of the time, and be…

Q: An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor…

A: Given information: The three types of cars are used as blocks in the experiment. Thus, Number of…

Q: 2. Consider the model Y = XB+ €, where e N,(0, o²In) and Xpxp may not have full column rank but has…

Q: A manufacturer of automobiles finds that 15% of the cars are unfit for delivery when they come off…

A: Step 1: Given claim: The percentage of unfit cars for delivery is less than 15%. Step 2: Null…

Q: Suppose that a researcher had estimated the first 5 autocorrelation and partial autocorrelation…

A: Given the first 5 autocorrelation coefficients of series in order as -0.674, 0.332, -0.072, 0.042,…

Q: Give an example of a random variable X that takes on values from the set of all binary strings of…

A: @solution::::

Q: Given a collection of data points {(xi, y₁)}₁ find the best least squares approxima- tion of the…

A: From the given data points are , we need to fit the curve by the method of least squares. Let…

Q: A dietitian read in a survey that at least 55% of adults do not eat breakfast at least 3 days a…

A: Given that, A random sample of 80 adults A total of 50% responded that they skipped breakfast at…

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: research center claims that 24% of adults in a certain country would travel into space on a…

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

Approximately 70% of the U.S. population recycles. According to a greensurvey of a random sample of 250 college students, 204 said that theyrecycled. At α = 0.01, is there sufficient evidence to conclude that theproportion of college students who recycle is greater than 70%?
3. 3 jobs, with i.i.d. runtimes each U[0, 1], are to be run in parallel on 2 processors. By how much time does the expected flowtime decrease if the schedule is changed from a best fixed schedule to a best schedule with recourse?
1. Show the mathematic model of direct observations to find a true value,u. Consider any systematic errors and biases were already removed, and the random errors of observations follow the normal distribution. Make sure each observation has a different weight. 2. For your math model in Q1, find the least squares solution for u by introducing Lagrange-target function and Euler-Lagrange necessary conditions. Also, provide the dispersion of a.
Check whether the data in this problem satisfy the Hawkins–Simoncondition.
6. Suppose the moment generating function of X is M(t) = ² et + e²t+e³t. a) Find the mean of X. b) Find the variance of X. c) Find the pmf of X.
Suppose that the probability of a successful optical alignment of an optical data storage product is 0.8. Assume that the trials is independent. a. Determine the probability mass function of the number of trials (X) required until the first successful alignment. b. Find the probability that the first successful alignment requires four trials at the maximum c. Calculate the mean and variance of X
If data show that a particular exercise has a strong negative correlation with an individual's resting heart rate, then a) the amount of this exercise has little effect on resting heart rate b) the resting heart rate decreases as the amount of this exercise increases c) the resting heart rate decreases in exact proportion to the increase in the amount of this exercise d) the resting heart rate increases as the amount of this exercise increases A В D NONE
A student would like to describe whether wage depends on gender. There are two models estimated by OLS with (Male =1 for males and 0 for female) and (Fermale =1 for females and 0 for males) included: %3! Model 1:wage, = Bri +P2 Female, + E Model 2:wage, = Bm1 + Bm2 Female, + Emi %3D %3D Choose the correct sentence: O a. Bm2 = -Pn O b. Bn+ Pn= Bal Oc. Bmi + Bm2 = B1 %3D O d. All expressions are correct
Suppose that Y = Bo + BıXite, i - 1,..., n where E(€;) = 0 and Var(e;) = o². Let 3o and 3₁ be the least squares estimates. (a) Find Var(Bo) (treating the X's as fixed). (b) The observed residuals are defined by ê; = Y; – Bo – Â₁ Xį. Show that Σ₁ ê; = 0. i=1 (c) Show that ₁ ê¡¿Ÿ¿ = 0. What is the interpretation of this result? (d) Suppose you did a regression of Y's on the observed residuals. (In other words, treat the ê¿ as the X;'s.) What intercept and slope would you get?
Suppose we take a random sample of size 25 form Bi(10, p). Find the pmf and the CDF of the 5th order statistic Y3.
It has been noted that the amount of time people spend shopping in supermarkets incountry X has decreased due to the discovery of a new strain of Covid19. Based onthis realization,the manager of Power Supermarket decided to collect data for thelength of time people spend in his supermarket during a one week period. He is aimingto use the data to help him decide if the supermarket should be converted to a virtualsupermarket/a delivery based one.a. Use the information below to construct two frequency polygons.b. Do you think that Power Supermarket should close their doors?Explain your answer.*Assume that a person who spends more time in a supermarket buys a lot of goods anda person who spends a short time in a supermarket,buys few goods Beforethepandemic: Time Frequency1-5 506-10 2511-15 2216-20 8021-25 6026-30 4531-35 3 After the pandemic:Time Frequency1-5…
luyckx et al. 2012 discovered that resistances to the bacterial parasite Pasteuria ramosa is genetically variable in the common freshwater crustacean Daphnia magna. to investigate the genetic basis of this cariation, they crossed a completely resistant lineage to a completely susceptible lineage. All the F1 offspring were resistant. these offspring, when mature, were then crossed to each other to produce an F2 generation. if resistance is the result of only a single gene with 2 forms (alleles), then resistant and suspectible F2 offspring should occur in a 3:1 ratio. of 71 F2's tested,57 were resistant and 14 were susceptible. Answer these Q's: a) calculate the range of most-plausible values for the proportion of resistant offspring. Does the plausible range include the proportion predicted if resistence is determined by a single gene? b.) give two other values for the proportion that are also consistent with the data. c.) test the genetic hypothesis. Are the results compatible with…