i need help discrete probablity 1.What is the probability that a randomly-chosen binary string of length 10 has exactly 3 ones? 2. A twenty-sided die is rolled. (The sides are labeled .1−20.) What is the probability that the result is at least 6? What is the probaility that the result is prime given that it is at least 6? What is the probability that the result is at least 6 and prime? What is the probability that the result is at least 6 or prime? ?

i need help discrete probablity 1.What is the probability that a randomly-chosen binary string of length 10 has exactly 3 ones? 2. A twenty-sided die is rolled. (The sides are labeled .1−20.) What is the probability that the result is at least 6? What is the probaility that the result is prime given that it is at least 6? What is the probability that the result is at least 6 and prime? What is the probability that the result is at least 6 or prime? ?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

69% of all students at a college still need to take another math class. If 5 students are randomly selected, find the probability that a. Exactly 2 of them need to take another math class. 0.1323 X b. At most 2 of them need to take another math class. 0.0009 X c. At least 3 of them need to take another math class. 0.9526 X d. Between 2 and 4 (including 2 and 4) of them need to take another math class. 0.8677 X Round all answers to 4 decimal places.
Exercise 1. A student is asked to prove If m is even and n is odd, then m² +n² is odd. The student provides the following proof: Proof. If m is even and n is odd, then m² + n² is odd. Since m is even, m = = 2k for any integer k. Since n is odd, n = 2k + 1. Note that m² + n² = (2k)² + (2k + 1)² = 8k² + 4k +1 So m² + n² is odd because it is an even number plus 1. (a) Identify the errors in the proof above. There are multiple errors. Explain each error. Your explanation should be written to the student who made the error and should try to help the student understand why what they wrote is incorrect. (b) In addition to errors, provide suggestions to improve the student's proof writing. That is, explain what parts of the proof are unclear or unjustified. Explain how such parts of the proof prevent some students from fully following the ment made. (c) Finally, provide a correct proof of the theorem above.
Answer subparts d, e, f only
Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from that box at random, determine the probability that it is not white. (b) If three balls are drawn at random, find the probability that they are drawn in the order blue, white, and red (each ball is not replaced). U..
Suppose a die is rolled twice and let A = (first toss is prime) B = (first toss is a 3) Find the requested probability. (Enter the probability as a fraction.) P(A n B)
The two last subparts please (d and e)
A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 2 or greater than 7 in a single spin? b 3 10
a code is made by selecting 7 different letters, one after another, from the 26 letters in the english alphabet. wheat probability weight should be assigned to each code? a. 1/P(26,7) b. 1/C(26,7) c. 1/26^7 d. 1/7^26 e. none of these are correct f. 1/182
The given table indicates the transactions for one teller for one day. Find the probability that a customer cashed a check, given that the customer did not make a deposit. P(EIF)= (Type an integer or a simplified fraction.) Search F7 L F8 F9 9 acer 啊 F10 2 24 of 24 F11 Transaction Make Deposit No Deposit Total ON F12 Scr Lk $ Cash Check 21 20 41 PrtSc SysRq No Check 17 13 30 Next Pause Break Total 38 33 71 Insert
. 고 X D Based on a survey, assume that 45% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. The value of n is. (Type an integer or a decimal. Do not round.) The value of x is (Type an integer or a decimal. Do not round.) The value of p is. (Type an integer or a decimal. Do not round.) The value of q is. (Type an integer or a decimal. Do not round.) # 3 E D 80 F3 C $ 4 R F 9 F4 V 5 T L 4 FS G B 6 FO Y H & 7 N 17 U J * 8 M - DII FB K ( 9 H < I DD F9 O L ) O P V F10 . - : i Time Remaining: 01:43:34 I command option 4 F11 { [ ? 1 +11 = 11 I 4) F12 } 1 Next delete return shi
Suppose you have an urn containing 3 red and 3 blue balls. You draw three balls at random. On each draw, if the ball is red you set it aside and if the ball is blue you put it back in the urn. What is the probability that the third draw is blue? (If you get a blue ball it counts as a draw even though you put it back in the urn.) O a. 1/125 O b. 267/500 O . 27/136 O d. 27/125 O e. 121/200
Zia drew 10 cards in order from an ordinary deck of cards, returning the card each time and if the number of red cards drawn is at most 2, she will give her mother a 5,000 worth SM gift certificate. Otherwise, she will buy her new kitchenware. Which of the following statement(s) is(are) TRUE? * O Let X bethe number of red cards drawn. Then X binomial(10,0.5) The probability that she will buy her mother a new kitchenware is 0.0547 O Both I and II O Neither I nor II Suppose it has been observed that an average of 180 vehicles passes by 1 their house between 8 and 9 AM on Wednesday mornings. During that time slot on any Wednesday morning, Zia counted the number of passing vehicles. If at most 3 vehicles pass by their house in any two minutes, she will give her mother a new watch. Otherwise, she will give her a necklace. Which of the following statement(s) is(are) TRUE? * The number of vehicles passing by Zia's house in two minutes deviates from the mear of 180 by 180. O The probability…