Question 1. For each random variable, state whether the random variable should be modeled with a...

Question 1.

For each random variable, state whether the random variable should be modeled with a Binomial distribution or a Poisson distribution. Explain your reasoning. State the parameter values that describe the distribution and give the probability mass function.

Random Variable

1. A quality measurement for cabinet manufacturers is whether a drawer slides open and shut easily. Historically, 2% of drawers fail the easy slide test. A manufacturer samples 10 drawers from a batch. Assuming the chance of failure is independent between drawers, what type of distribution could be used to model the number of failed drawers from the sample of 10?

2. The warranty for a particular system on a new car is 2 years. During which there is no limit to the number of warranty claims per car. Historically, the average number of claims per car during the period is 0.8 claims. What type of distribution could be used to model the number of warranty claims per car?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Recall the lifetime (in months) of a battery is modeled by a random variable X that...

Recall the lifetime (in months) of a battery is modeled by a random variable X that has pdf fθ(x)=Kθx1(x>0)where K=ln(1/θ) for an unknown parameter θ∈(0,1) . Assume instead that we cannot actually observe the lifetime of the batteries. Instead, we only observe if the battery is still working after τ months for some known τ to be chosen later (this is called censored data ). Let Y1,…,Yn be our observations where Yi=1(Xi>τ) indicates that the i th battery is still...

The duration of a phone call is modeled by using an exponential random variable with variance...

The duration of a phone call is modeled by using an exponential random variable with variance 4.5 hours2. If the duration of the phone call has already lasted for 9 minutes, then what is the probability that the duration of the phone call will last at least 65 minutes?

Determine whether the value is a discrete random variable, continuous random variable, or not a random...

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of bald eagles in a countrynumber of bald eagles in a country b. The number of points scored during a basketball gamenumber of points scored during a basketball game c. The response to the survey question "Did you smoke in the last week question mark "response to the survey question "Did you smoke in the last week?" d. The number...

Determine whether or not the random variable X is a binomial random variable. (a) X is...

Determine whether or not the random variable X is a binomial random variable. (a) X is the number of dots on the top face of a fair die (b) X is the number of hearts in a five card hand drawn (without replacement) from a well shuffled ordinary deck. (c) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective. (d) X...

Determine whether or not the random variable X is a binomial random variable. If so, give...

Determine whether or not the random variable X is a binomial random variable. If so, give the values of n and p. If not, explain why not. a. X is the number of dots on the top face of fair die that is rolled. b. X is the number of hearts in a five-card hand-drawn (without replacement) from a well-shuffled ordinary deck. c. X is the number of defective parts in a sample of ten randomly selected parts coming from...

For a particular machine, its useful lifetime (random variable T) is modeled by an exponential probability...

For a particular machine, its useful lifetime (random variable T) is modeled by an exponential probability density function. Given that the expected lifetime of this machine is 10 years, find the exponential probability density function f(t) for random variable T

For a particular machine, its useful lifetime (random variable T) is modeled by an exponential probability...

classify each variable as quantitative or categorical. for categorical- state whether its ordinal or nominal for...

classify each variable as quantitative or categorical. for categorical- state whether its ordinal or nominal for quantitative- state whether its continuous or discrete and whether the level of measurement is ratio or interval VARIABLES: Marital Status Happiness Cholestoral Change Blood Pressure Change Vision Change Age Male

State whether each question is a null or alternative hypotheses, and mark the claim: A. The...

State whether each question is a null or alternative hypotheses, and mark the claim: A. The average income of nurses is at most $36,650. B. The average price of a cd is $25.59. C. The average electric bill for residents of White Pine Estates is smaller than $78.52 per month

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or...

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The height of a randomly selected person b. The hair color of adults in the United States c. The number of free-throw attempts before the first shot is missed d. the weight of a hamburger e. The number of pigeons in a country f. The exact time it takes to evaluate 67 + 29

Subjects