8.14. A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of these components must be in stock so that the probability that the system is in continual operation for the next 2000 hours is at least .95?

Q: 1. A population has a mean of 75 and a standard deviation of 17.4. A sample of 35i items is randomly…

A: As per bartleby guidelines only 1 question is answered please upload the rest separately. Population…

Q: Suppose that in a certain Senior High School the average height of male students is 155.9 cm with…

A: GivenMean(μ)=155.9standard deviation(σ)=20.4sample size(n)=40

Q: Suppose that it is known that the number of items produced in a factory during a week is a random…

A: Given X: Week's Production μ = 50σ2 = 25 ⇒ σ=5

Q: 1. A softdrink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: Solution

Q: Suppose it is known that a company completes a certain type of order in average of 48 minutes with a…

A: Let X be the time taken to complete task of type 2 and Y be the time taken to complete task of type…

Q: Suppose that electrical components have lifetimes that are independent and come from a normal…

A: Given : Suppose that electrical components have lifetimes that are independent and come from a…

Q: A population has a mean of 75 and a standard deviation of 17.4. A sample of 35 items is randomly…

A: Note: Please repost remaining questions as i can answer only 1 question as per my policy. 1) Given…

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

A: The probability density function of gamma distribution is given by f(x)=βαΓαxα-1e-βx  where the…

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A: μ = 64σ = 2

Q: Suppose that from the past experience a professor knows that the test score of a student taking his…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: Suppose that students who finished JHS in a public school get an average of 5.6 hours of sleep each…

A: Mean(µ) = 5.6 Standard deviations (σ) = 1.7 n = 35

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Given: Let us define the random variable X as the monthly income of employees in firm A. Mean = μ =…

Q: A sample of n = 25 observations is to be drawn from a population that is normally distributed with a…

A:

Q: 2- Bob takes on average of 50.5 hours uniformly distributed to to finish a portrait in his studio…

A: Given information- Population mean, µ = 50.5 hours Population standard deviation, σ = 10.5 hours…

Q: 1. A softdrink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A:

Q: The number of people sick from imported meat products in a certain city was found to be normally…

A: Given that, The number of people sick from imported meat products in a certain city was found to be…

Q: Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size…

A:

Q: A farmer has a flock of 100 chickens with weights that are normally distributed with a mean of 5.00…

A: Given data,μ=5σ=0.36If n=9P(X>5.10)=?

Q: The strength of steel wire made by an existing process is normally distributed with a mean of 1550…

A: The claim is that the new process gives a larger mean strength than the old.

Q: Suppose it is known that a company completes a certain type of order in average of 48 minutes with a…

A: Let the associated random variable with type I and type II be X1 and X2 respectively. So, X̄1 ~…

Q: it is Known that a company completes a certain type of order in average of 30 minutes with a…

A: Given  Type 1  mu1=45, n1=35, sigma1=15 Type 2 mu2=30,n2=40, sigma2=20 We want to find the…

Q: 4. In a city, it is estimated that the daily maximum temperature in June is normally distributed…

A: (4.2) Obtain the probability that one day in June has a maximum temperature of more than 33°C. The…

Q: Suppose it is known that a company completes a certain type of order in average of 45 minutes with a…

A: Given  Type 1 mean1=45, sd1=15, n1=35 Type 2 Mean2=30, sd2=20, n2=40 We want to find the…

Q: A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49…

A:

Q: 2. An electronic company in laguna manufactures resisters that have aean resistance of 120 ohms and…

A: Given that: Mean resistance: μ=120Ω Standard deviation: σ=13Ω Random sample: n=40 For : Px>114

Q: 1. The lifetimes of a certain brand of LED light bulbs are normally distributed with a mean of…

A: Let X represents the lifetime of a certain brand of a LED light bulbs. Therefore X ~ normal…

Q: A study shows that children watched television by an average of 48 hours per week with a standard…

A: Given Pop mean, μ=48Pop sd, σ=12 n=150

Q: 9) For a certain type of computer, the length of time between charges of the battery is normally…

A:

Q: An airliner carries 400 passengers and has doors with a height of 75 in. Heights of men are normally…

A: Given,mean(μ)=69standard deviation(σ)=2.8

Q: 1. A manufacturer of light bulbs produces that last a mean of 950 hours with a standard deviation of…

A: The use of standard normal probability distribution tables help us in ascertaining the percentage of…

Q: Suppose that from the past experience a professor knows that the test score of a student taking his…

A: Here, µ=60, σ=10, E=1.5

Q: Suppose the number of movies people rent per month is normally distributed with a mean of 4.8 and a…

A: Let x be the number of movies people rent per month which follows normal distribution with mean 4.8…

Q: 6. The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000…

A: GivenMean(μ)=7000standard deviation(σ)=600

Q: The operator of a pumping station has observed that demand for water during early afternoon hours…

A: As per given by the question, the approximately exponential distribution with mean is 1000 cubic…

Q: 4.12. The amount of time a customer spends in line at Water Street Coffee is found to be…

A:

Q: Suppose that the quarterly price, X, of the stock of Company ABC is Normally distributed with mean…

A: Let X: the quarterly price of the stock of company ABCX~N(μ,σ)where mean (μ)=2.0and standard…

Q: Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey…

A: Given Population mean=0.47 Population standard deviations=0.01

Q: a) The weights of kindergarten students are known to be normally distributed with a mean of 19.5 kg…

A:

Q: Suppose it is known that in a certain large human population cranial length is approximately…

A: Solution: Let X be the cranial length. From the given information, X follows normal distribution…

Q: A population of widgets produced by a machine has weights with mean of 200mg and standard deviation…

A:

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a…

A:

Q: . A population has a mean of 75 and a standard deviation of 17.4. A sample of 35 items is randomly…

A: Note: Please repost remaining questions as i can answer only 1 question as per my policy. 1) Given…

Q: Suppose that in the population of American college students the average number of alcoholic drinks…

A: The mean is 24 and the standard deviation is 5.

Q: A certain machine makes electrical resistors having a mean resistance of 50 Ohms and a standard…

A: Given,sample size(n)=49mean(μ)=50standard deviation(σ)=3

Q: In a random sample of 64 resistors, what is the  probability that its mean falls between 218 Ω and…

A: Here use central limit theorem  A manufacturing firm produces resistors with mean and standard…

Q: Suppose that a random variable X is normally distributed with a mean of 200 and a variance of 625.…

A: Given that X follows a normal distribution with mean=200 and variance= 625 So standard…

Q: 2. Two stores at SM Downtown are selling batteries for cell phones. Store A claims an average…

A:

Q: Suppose that the time spent online to do homework by a randomly selected student has a gamma…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.