When coin 1 is flipped, it lands on heads with probability ; when coin 2 is flipped it lands on heads with4probability(a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times.(b) If one of the coins is randomly selected and flipped 10 times, what is the probability that it lands on headsexactly 7 times?(c) In part (b), given that the first of these 10 flips lands on tails, find the conditional probability that exactly 7 ofthe 10 flips land on heads.

The probability of coin 1 landing on heads is, (i.e. 0.9).The probability of coin 2 landing on…

Answered: 9 When coin 1 is flipped, it lands on…

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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13. In a village of 21 inhabitants, a person tells a rumour to a second person, who in turn t- repeats it to a third person, etc. At each step the recipient of the rumour is chosen at random from the 20e people available. Find the probability that the rumour will be told 10 times without : (i) returning to the originator ; (ii) being repeated to any person
3) In a recent semester at a local university, 530 students enrolled in both General Chemistry and Calculus I. Of these students, 53 received an A in general chemistry, 83 received an A in calculus, and 25 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student received an A in general chemistry or calculus.
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
.............. If you have 6 red cards and 8 blue cards in your right hand, but your left hand is empty. Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. The conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue is: Select one: a. 0.4632 b. 0.0644 c. 0.3671 d. 0.3974 е. 0.4895
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials?
An insurance agent sells the policies to 20 persons having same age and in good health. Based on the company's record, the probability that person in this age will live for the next 20 years is 2/3. Find the probability (a) 8 persons, (b) at most 7 persons, (c) more than 7 persons, (d) at least 3 persons, (e) more than 6 persons but less than 11 persons are still alive at the end of this 20 years period. The probability for a mango tree from a certain type, will produce fruits in the first year is 0.8. Each time, the mango trees seller sells about 5 trees to the buyer with the guarantee that if less than 3 trees produce fruits in the first year, he will replace them according to the number of trees which do not produce fruits. (a) Calculate the probability that there will no replacement. (b) If he sells the trees to 3000 buyers that are 5 trees to each buyer, how many trees are expected to be replaced?
Suppose that Tuon has a perfectly fair coin – that is a coin which lands on heads exactly 50% of the time – and he is not using any tricks. Find the probability that, if he flips it 12 times, he gets at least 10 heads
A bag contains 5 white and 8 red balls. Two drawings of 3 balls are made such that (a) the balls are replaced before the second trial, and (b) the balls are not replaced before the second trial. Find the probability that the first drawing will give 3 white and the second 3 red ball in each case.
Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown to the inspector, three of the ten machines are defective. Find the probability that both machines picked for inspection are defective?

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