Assume that there are k people in a room and we know that:• A: = 5 with probability :• k = 10 with probability• k - 15 with probabilitya. What is the probability that at least two of them have been born in the same month? Assume thatall months are equally likely.b. Given that we already know there are at least two people that celebrate their birthday in the samemonth, what is the probability that A = 10?

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Answered: Assume that there are k people in a…

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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Assume that there are 16 frozen dinners: 9 pasta, 3 chicken, and 4 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
Suppose that there is a white urn containing three white balls and one red ball and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: there are no balls of the same colour either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.
A store has 12 cars for sale. 5 are new, 4 are accident cars and 3 are used but in good condition. If 3 cars are selected at random for shipping to a customer. Let X be the number of new cars in the shipment. If a customer wants one new car, one accident car and one used car. In how many ways can this selection be done? Find the probability function for X.
If two cards are selected at random one afteranother. What is the probability that both cards contain a letter? If each card is i. Replaced. ii. Not replaced.
There are 300 million people in the United States. Assume 150 million are couples at any one time. The cold is transmitted readily by touch. Assume 5 million people chosen at random have a cold, and everyone in a couple passes it to the second person. What is the probability a person chosen at random has a cold?
On a shelf there are 60 novels and 20 poetry books. Person Achooses a book at random off the shelf and leaves with it. Shortly after, Person Bchooses another book at random. Calculate:a. The probability that the book selected by Person B is a novel?b. If it is known that Person B chose a novel: what is the probability that thebook selected by Person A was a poetry book?
Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that she or he has 6 children. What is the probability that at least one is a boy given that at least 5 of the children are girls?
In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third person, and so on. Each person tells the rumor to just one of the people chosen at random, excluding the person from whom he/she heard the rumor. The rumor is told 10 times. What is the probability that the rumor will not return to the originator?
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (1) the youngest is a girl, (ii) at least one is a girl?
Find the probability that in a family of 4 children there will be (a) at least1 boy and (b) at least 1 boy and 1 girl. Assume that the probability of a male birth is .

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