Let X be the number of defective parts produced on acertain production line. It is known that, for a given lot,X is a binomial random variable, with mean equal to240 and variance 48.a. What are n, p, and q?b. What is the probability that at most 2 of the parts inthis lot are not defective?c. What is the probability that at least 10 parts aredefective?

Binomial is the distribution used when a experiment has two outcome only. It is the type of discrete…

Answered: Let X be the number of defective parts…

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...

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use α = 0.01. Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
B. random sample D. None of the above 4. Which of the following is an example of a discrete random variable? A. weight of a new born baby B. body temperature of COVID-19 patients C. number of heads that will out if you toss a coin twice D. height of volleyball players 5. Shiela decided to conduct survey of families with four children. She is interested in counting the number of boy in each family. Is this a random variable? A. Yes, it is a random variable. В. Маybe C. No, it I not a random variable D. Cannot be determined 6. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? А. 2 7. Cardo decided to order a pizza but he needs to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering a pizza, from which of the following should you choose? В. 3 С. 5 D. 10 A. Crust: thin or deep dish ; Toppings: cheese, bacon, sausage, pepperoni or hotdog
c. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 81? What is the probability that it would take on average over 12 hours for the 81 taxpayers to finish their form 1040? Would you find this unusual? O yes no d. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 100? What is the probability that it would take on average over 12 hours for the 100 taxpayers to finish their form 1040? Would you find this unusual? no O yes e. What is the z-score/how many standard deviations away is 12 hours for one tax-payer? What is the probability that it would take one person over 12 hours to finish their form 1040? Would you find this unusual? yes
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o= 0.88 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is = 4.65 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.65 grams? Use x=0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? OH μ 4.65 g; right-tailed OH = 4.65 g; H₂ μ< 4.65 g; left-tailed OH = 4.65 g; Hμ 4.65 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
d and e only

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