(A) Is it possible to get 21 heads in 22 flips of a fair coin?(B) If you flipped a coin 46 times and got 44 heads, would you suspect that the coin was unfair? What empirical probabilitieswould you assign to the simple events of the sample space?...(A) Is it possible to get 21 heads in 22 flips of a fair coin?A. Yes, because the event n(H) = 21 is the most likely event in the sample space.B. No, because the event n(H) = 21 is not contained in the sample space.C. Yes, because the event n(H) = 21 is contained in the sample space.D. No, because the event n(H) = 21 is not the most likely event in the sample space.

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Answered: (A) Is it possible to get 21 heads in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A coin is tossed three times and the sequence of heads and tails is observed. (a) list all outcomes in the sample space (b) What is the probability that at least one head appears ? (c) What is the probability that all heads or all tails appear ?
According to an airline, flights on a certain route are on time 75% of the time. Suppose 10 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Determine the values of n and p. (c) Find and interpret the probability that exactly 6 flights are on time. (d) Find and interpret the probability that fewer than 6 flights are time. (e) Find and interpret the probability that at least 6 flights are on time. (f) Find and interpret the probability that between 4 and 6 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. The probability of success is different for each trial of the experiment. B. The experiment is performed until a desired number of successes is reached. C. Each trial depends on the previous trial. D. The trials are independent. E. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and…
The accompanying table lists probabilities for the corresponding number of girls in 4 births. What is the random variable, what are its possible values, and are its numbers numerical?
(4) The probability that a person likes coffee is 0.4. If we pick a random sample of 25 people, what is the probability that at least 11 of them like coffee? (5) 61 people booked a seat on a flight, and each person has a 0.9 probability of showing up for the flight. If only 57 seats are available, what is the probability that there will be enough seats for everyone who shows up? (6) You flip a fair coin 8 times. Find the probability that out of the 8 times you flip the coin, you get the exact same number of Heads and Tails.
According to an airline, flights on a certain route are on time 75% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 13 flights are on time. (c) Find and interpret the probability that fewer than 13 flights are on time. (d) Find and interpret the probability that at least 13 flights are on time. (e) Find and interpret the probability that between 11 and 13 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. O A. There are two mutually exclusive outcomes, success or failure. B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. C. The probability of success is the same for each trial of the experiment. O D. The experiment is performed a fixed number of times. O E. Each trial depends on the previous trial.…
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(3) Seven different crime victims listened to voice recordings of four different suspects. If the voice identifications were made by random guess, find the probability that all the victims would select the same voice recording.
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An experiment consists of rolling a fair dice two times and record the sum of the two rolls. (a) What is the sample space of that experiment.(b) Write in set notation the event ”The sum is at least 7.(c) Draw a table of all possible results of rolling a die twice.(d) Using the table above, what is the probability that the sum of the two rolls is 7.(e) Using the table above, what is the most likely sum?

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