Q. 8. What is the chance that a. leap year selected at random wilcontain 53 Sundays?[Hint : A leap year consists of 53 complete weeks and 2 days overThese two days can be](1) Monday & Tuesday.(2) Tuesday & Wednesday(3) Wednesday & Thursday(4) Thursday & Friday(5) Friday & Saturday(6) Saturday & Sunday(7) Sundary & MondayHence P=2/7

Answered: Q. 8. What is the chance that a. leap…

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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Years <50 50-54 55-59 60-64 65-69 70+ Africans Population 8,236,458 834,541 757,364 661,428 485,851 1,185,358 No. of deaths from Covid 19 4,265 2,007 2,026 1,258 2,191 8,265 Europeans Population 6,235,145 311,774 272,111 223,112 143,872 288,056 No. of deaths from Covid 19 3,254 715 456 776 618 2,569 Calculate the crude death rates for Covid 19 for both Africans and Europeans per 100,000 population.
Number of ChildrenTable 1 shows the number of women (per 1000) between 15 and 50 years of age who have been married grouped by the number of children they have had. Table 2 gives the same information for women who have never been married.1 Number of Children Women per 1000 0 162 1 213 2 344 3 182 4 69 5+ 32 Table 1 Women who have been married Number of Children Women per 1000 0 752 1 117 2 72 3 35 4 15 5+ 10 Table 2 Women who have never been married 1http://www.census.gov/hhes/fertility/data/cps/2014.html, Table 1, June 2014. Condition gt requires numbers instead of "null" and "0" (a) Without doing any calculations, which of the two samples appears to have the highest mean number of children? Women who have been marriedWomen who have never been married Which of the distributions appears to have the mean most different from the median? Women who have been marriedWomen who have never been married…
Input -2 -1 0 1 2 3 Input -2 -1 0723 1 0.5 0.33 Output 4 1 0 1 4 9 Input Output -2 -1 - 0 1 1 0 1 4 9 Input -2 -1 0 1 2 M Output -0.5 -1 0 1 2 3 Input -2 -1 1 0 1 2 3 Output -2 -1 0 1 2 3 3 Input Output -2 -8 -1 -1 laulm 2 0 1 8 27 Output 2 1 0 1 2 a. b. C. d. e. f. MyPath Home 3 2 + -5-4-3-2-1 -5 -5-4-3-2-1 -5-4-3-2-1 -5-4-3-2 -4-3-2 4 -2- -3 4 4- 3- 2 1 A 5- 4- 3 2 F -2 3 4 - + -2 -3- -4- $ + -2- 4 -5 5+ 4 3 2 + + 2 5+ $ 4 3 2- 1 12 3 4 5 a 1 2 3 2 3 4 4 q Cengage Pearson-Ma
12 1. A uniform die is thrown at random. Find the probability that the number on it is: (i) 5, (ii) greater than 4, (th any one of the faces 1, 2, 3, 4, 5, and 6, the exhaustive number of (iii) even.
A function randomly generates 4-digit decimal numbers in the range of 0000 to 9999 (all have the same chance) what is the probability that there will be a repeated digit? E.g; 1891 (1 is repeated), or 2272 (2 is repeated 3x)
77. A system consists of five identical components connected in series as shown: 1 3 4 5 As soon as one component fails, the entire system will fail. Suppose each component has a lifetime that is exponentially distributed with 2 = .01 and that components fail independently of one another. Define events A; : at least t hours }, i = 1, ... , 5, so that the A;'s are independent events. Let X = the time at which the system fails- that is, the shortest (minimum) lifetime among the five components. a. The event {X > t} is equivalent to what event involving A1, ..., As? b. Using the independence of the five A;'s, com- pute P(X > t). Then obtain F(t) = P(X < 1) and the pdf of X. What type of distribution {ith component lasts does X have? c. Suppose there are n components, each having exponential lifetime with parameter å. What type of distribution does X have?
5) People are waiting in a queue for buying ticket to the cinema. Time required for one person to buy a ticked follows uniform distribution on [2min, 6min]. John arrives to the Cinema 30 minutes before the film starts and there were 10 people waiting in the queue before him. What is the chance that he will be able get his ticket before film starts ?
13-7. What is the expected number of heads appearing when a fair coin is tossed three 3-28) es Co times
5.2 q20
3 of 30 (1 complete) The access code for a safe consists of three digits. Each digit can be any number from 0 through 9, and each digit can be repeated. Complete parts (a) through (c). (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correctaccess code ori the first try? (c) What is the probability of not selecting the correct access code on the first try? (a) Find the number of possible access codes. The number of different codes available is (b) What is the probability of randomly selecting the correct access code on the first try? The probability of randomly selecting the correct access code is (Round to three decimal places as needed.) (c) What is the probability of not selecting the correct access code on the first try? The probability of not selecting the correct access code is (Round to three decimal places as needed.)
Activity 1. ( Do It Yourself) Get a die. Roll it 50 times. Record the result of your experiment in a table. The first table is for rolling a die once in 50 times, the second table is for rolling a die twice in 50 times, and the 3rd table is for rolling a die thrice in 50 times.Show the result of your experiment to your teacher. 1" roll 2 roll 3 roll Mezm T"roll 2roll ean 1* roll 1 1 1 2 3 3 4 4 4 5 6 6. 7 10 10 10 50 50 50 On a separate sheet of paper, 1. Make a histogram of the distribution of rolling a die once in 50 times. Whst can you say about the resulting histogram? Answer: 2. Make a histogram of the means of rolling a die twice in 50 times and rolling a die thrice in 50 times. Answer: 3. What can you say about the three histograms? Draw out s conclusion out of the three histograms. Answer:

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