What is the most appropriate probability distribution to use? What is the probability that 60 mRNA transcripts are made until the 4th burst? Suppose another researcher is only interested in the number of mRNA until the first "burst". What is the probability that 18 mRNA transcripts are made until the 1st burst?

Q: A batch of bulbs have a mean life of 1000 hours. Only one bulb is used at a time, and after each…

A: See the handwritten solution

Q: The time between arrivals of buses at a bus stand is exponentially distributed with a mean of 20…

A: Problem can be solved using exponential distribution formula.

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: In a dental study on children it was found that the probability of the child population having any…

A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3

Q: The life of a power transmission tower is exponentiallydistributed, with mean life 25 years. If…

A: From the given information, it can be observed that the life of a power transmission tower is…

Q: Data show that 3% of apples produced from an apple orchard are bruised when they reach local stores.…

A: Given, 3% of apples produced from an apple orchard are bruised when they reach local stores. The…

Q: Explain how the probability of extinction and the mean population size of a species after a…

A: the Colonization and extinction probabilities  were defined in terms of the habitat state at both…

Q: What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Bank tellers in a certain bank make errors in entering figures in their ledgers at a rate of 0.8…

A: Given,a rate of errors per page =0.8no.of errors per 5 pages(λ) = 5×0.8=4X=no.of errors per 5…

Q: Transcriptional bursting is a fundamental property of genes in which transcription from DNA to mRNA…

A:

Q: A communications satellite is designed to have a mean time to failure (MTF) of five years. If the…

A: The objective of this question is to find the probability of different scenarios for a satellite's…

Q: The life of a power transmission tower is exponentially distributed, with mean life 25 years. If…

A:

Q: It should be stated that the battery of a type of POS device has an exponential distribution with an…

A: It is given that the distribution is exponential with mean μ=5. The probability distribution of…

Q: The waiting time at a grocery checkout has an exponential distribution with mean of 9 minutes. What…

A:

Q: If the time between calls in a call center follows an Exponential Distribution with mean 5 minutes,…

A: Given: mean (μ)= 5 minutes λ=15 per minute

Q: Suppose the movie theatre box office of a new film to be released is predicted to follow a Normal…

A:

Q: The time between arrivals of vehicles at particular intersection follows an exponential probability…

A:

Q: Transcriptional bursting is a fundamental property of genes in which transcription from DNA to mRNA…

A:

Q: An organizati purchases puter a anufacturer with times modeled as exponential variables (mean of 5…

A:

Q: opose a computer chip manufacturer finds that 20% of the chips produced during the velopment phase…

A:

Q: If an experiment is repeated multiple times, the experimental probability and the theoretical…

A: the more trials you do, the closer the experimental probability comes to theoretical probability

Q: It is known that for a laboratory computing system the number of system failures during a month has…

A: It is known that for a laboratory computing system the number of system failures during a month has…

Q: We know that certain bacteria are present in water in a proportion of 3 bacteria per cm3 . What is…

A: Given:. This means that on average, we expect to find 3 bacteria in each cubic centimeter of…

Q: The mosquitos are out in your back yard, and they bite you at random times. Each bite happens…

A: The average time between bites is 1.417 minutes. Each bite happens independently of the last bite.

Q: It is known that the prevalence of Tuberculosis in a community is 9% what would be the probability…

A: given data P(tuberculosis) = p = 0.09sample size (n) = 10x = no. of individual with tuberculosisP(x=…

Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…

A: Given information: The probability of rolling each number is: P[1] = 0.15, P[2] = 0.2, P[3] = 0.15,…

Q: Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Given, Scores of an IQ test have a​ bell-shaped distribution with a mean of 100  and a standard…

Q: in a new fiber-optic communication system, transmission errors occur at the rate of 1.5 per ten…

A: The random variable X is the number of transmission errors that occur in fiber optic communication…

Q: An instrument for testing contaminated particles experiences errors 4 times on average during a…

A: Given Data: Let X represent the number of errors during 4-hour session X~ Poi(4)   Let Y represent…

Q: In the Taiji scene, we learn that dolphins were killed at staggering proportions from 2000-2015. For…

A: Probability quantifies the chances of an event happening. The probability values always lie in the…

Q: 2. Show that a Uniform(0, 0) random variable is not an exponential family distribution.

A: A joint probability mass function or joint probability density function, {f(x|θ;θ=(θ1,θ2,...θn)∈Θ}…

Q: For a recent year, the Centers for Disease Control reported that the probability that a 50-yr-old…

A: Recall the following fact.

Q: (b) A statistical report showed a mean of 35.4 motor vehicle deaths each year in a city. (i) Find…

A:

Q: We have seen that nonindependence of alleles (possibly caused by differential mortality of…

A:

Q: It should be stated that the battery of a pos device has an exponential distribution with an average…

A:

Q: s in a carpet tend to occur randomly and independently at a rate of one every 300 square feet. What…

A: