12. Let X be the number of successful rocket launches in 629 independent trials withsuccess probability 0.894. Using the binomial distribution, let Q₁ the probability thatX ≥ 542, Q₂ the probability that X ≤ 572, and Q3 the probability that 558 ≤X ≤ 572.Let Q=In(3 + |Q1| +2|Q2|+3|Q3|). Then T = 5 sin² (100Q) satisfies:- (A) 0 ≤T < 1.(B) 1 ≤ T <2. — (C) 2 ≤T < 3. — (D) 3 ≤ T < 4. (E) 4 ≤ T ≤ 5.

Answered: Image /qna-images/answer/ebab5a14-cceb-4d50-88fa-46c46546bac8.jpg

Answered: 12. Let X be the number of successful…

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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Please give me answer only (d).
The lifetime (in hours ) of a semiconductor laser has a lognormal distribution with theta = 10 and omega = 1.5 Determine the following in parts (a) and (b): a) Probability the lifetime is less than 1000 hours ? b) Probability the lifetime is less than 11000 hours given that it is more than 10000 hours?
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Ex: 4.1 I don’t know how they calculated the p(x) in table 4.1
A random sample of size n₁ = 14 is selected from a normal population with a mean of 76 and a standard deviation of 7. A second random sample of size n₂ = 9 is taken from another normal population with mean 71 and standard deviation 11. Let X₁ and X₂ be the two sample means. Find: (a) The probability that X₁ – X₂ exceeds 4. 1 2 (b) The probability that 4.3 ≤ X₁ – X2 ≤ 5.6. Round your answers to two decimal places (e.g. 98.76). (a) i (b) i
8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable X that follows an exponential distribution with mean 15 minutes. a) Find P(14 < X < 22). Round off your answer to two decimal places. x 22 1 P(14 < X <22) = √₂/1² 15 e 15dx = P(x < 22) — P(x < 14) x 15 122 = e 15 22 1 - e 14 or 0.8 = = 22 14 = −e 15 + e15 = 0.16254≈ 0.16 - (1 – b) Find the 80th percentile. Round off to the nearest whole number. 1 X S 15 14 e 15 t e 15 dt X 0.8 = 1 e 15 X e 15 = = 0.2 14 22 = e 15 e 15 = 0.16 x — = ln (0.2). This gives x = 24.14156 15
L11Q2.
Three students from a 14 student class will be selected to attend a meeting. 9 of the students are female. What is the probability that all three of the students chosen to attend the meeting are female? =
4) What number of drones N makes your second-morning observations as likely as possible?5) Assuming again that the probability that N = n is proportional to the probability of observing this specificdata on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95.

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