() A class consists of 80 students, 25 of them are girls and 55 boys, 10 ofthemare rich and remaining poor, 20 of them are fair complexioned. What is the probabilityof selecting a fair complexioned rich girl?(i) Explain why there must be a mistake in the following statement :A quality control engineer claims that the probability for a large consignment of glass brickscontaining 0, 1, 2, 3, 4, or 5 defectives are 0.11, 0.23, 0.37, 0.16, 0.09 and 0.05 respectively.

Answered: Image /qna-images/answer/414e9bd3-359a-4153-a182-7983cdd8a550.jpg

Answered: () A class consists of 80 students, 25…

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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19. The chance for precipitation (rain) in Washington, DC this weekend is about 40% everyday. (a) What is the probability that it will rain on Friday, Saturday, and Sunday? (b) What is the probability that there won't be any rain day this entire weekend.
6. Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following represents the probability that a day in early March would have either rain or snow? (1) 0.30 (3) 0.02 (2) 0.34 (4) 0.26
9. Fungicides are used to protect seeds in wet environments. To test the effectiveness of a fungicide, twenty seeds were planted wherein ten seeds were treated with fungicide and the other ten were not. The seeds were planted in wet soil, and the number of plants that emerge were counted. If the fungicide was not effective, what is the probability that two out of four plants that emerge are from treated seeds? O A. 0 O B. 0.3750 O C. 0.4180 O D. 0.5000
a) A recent poll found that the mayor of a small town had the approval of 52% of the population. A new poll is being conducted one week before the election with a total of 324 randomly selected individuals. What is the probability that this poll finds the mayor’s approval below 50% ? b) It is estimated that 13.1% of Americans are left handed. What is the probability that a random sample of 100 Americans has between 10 and 15 left-handed people?
Please answer the attached third problem
1) The question screenshot is attached down below just need final answer.
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
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?
4. Answer the following: (a) A day of the week is selected at random. What is the probability that it is a weekend day? (b) A single card is drawn from a deck of 52 cards. What is the probability that it is a king or a club? (c). The probability of rain tomorrow is 0.7. The probability that it will snow is 0.5. The probability of both rain and snow is 0.3. What is the probability that it will either rain or snow tomorrow?
6. An actuary studying the insurance preferences of automobile owners makes the following conclusions: (i) An automobile owner is twice as likely to purchase collision coverage as disability coverage. (ii) The event that an automobile owner purchases collision coverage is independent of the event that he or she purchases disability coverage. (iii) The probability that an automobile owner purchases both collision and disability coverages is 0.15. (a)Calculate the probability that an automobile owner purchases neither collision nor disability coverage. (b) Calculate the probability that an automobile owner purchases only collision coverage.
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17. Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, "When you see an ad emphasizing that a product is 'Made in America,' are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group are presented in the following contingency table 18-34 35-44 45-54 55+ More likely 238 329 360 402 1329 Less likely 22 22 16 66 282 Neither more 201 164 118 765 nor less likely Total 542 536 546 536 2160 Source: The Harris Poll

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