4.67. A company produces lightbulbs at three factories A, B, C.Factory A produces 40 percent of the total number of bulbs, of which 2 percent are defective.Factory B produces 35 percent of the total number of bulbs, of which 4 percent are defective.Factory C produces 25 percent of the total number of bulbs, of which 3 percent are defective.A defective bulb is found among the total output. Find the probability that it came from(a) factory A, (b) factory B, (c) factory C.

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Answered: 4.67. A company produces lightbulbs at…

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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part D E F
A company's records show that 35% of the employees receive a performance bonus. I randomly selects a sample of 5 employees from the company. 11. The probability that none of these employees receive a performance bonus is: A 0.247 В 0.186 C 0.884 0.116 12. The probability that at most 2 of these employees receive a performance bonus is: А 0.678 B 0.808 C 0.706 D 0.765 13. Consider the normal distribution function. The area between z -scores of – 1.56 i A 0.9105 В 0.0293 C 0.856 D 0.9398
Two shipments (A and B) of blenders were inspected. Shipment A contains 50 blenders of which 5 are defective while shipment B contains 40 blenders of which 3 are defective. a. If 3 blenders are inspected at random (without replacement) from shipment A, what is the probability of obtaining at least 1 defective. b. Suppose a shipment is selected at random and one defective was found out of 2 blenders inspected. Find the probability that the shipment inspected was A.
5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
18.
In a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…
K Each of two parents has the genotype red/brown, which consists of the pair of alleles that determine hair color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one red allele, that color will dominate and the child's hair color will be red. a. List the different possible outcomes. Assume that these outcomes are equally likely. b. What is the probability that a child of these parents will have the brown/brown genotype? c. What is the probability that the child will have red hair color? is $ 4 View an example Get more help. a. List the possible outcomes. OA. red/red, red/brown, and brown/brown OB. red/red, red/brown, brown/red, and brown/Brown C. red/brown and brown/red OD. red/ red and brown/brown % 5 A 6 y g h b & 87 ← O * 00 8 O m Clear all ( 9 4 Check answer ) 0 orrect: 0 (?) Help G backspace
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?

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