11. Assume that the year has 366 days and all birthdays are equally likely. Assume it is equally likely that a person is born in any given month of the year. (a) From a group of n people chosen at random, how many choices are there that at least two are born in the same month of the year? Explain in detail.

Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she randomly chooses 12 shoes.…

A: Given: Total = 20 n = 12

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black ball

A: 6) From the given information, there are 6 white and 5 black balls. Total number of balls is 6+5=11…

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: A state runs a lottery in which 5 numbers are randomly selected from 50, without replacement. A…

A: Answer:----.                                   Date:----27/09/2021

Q: Can you help me understand and solve #4?

A: Define the random variable X as the number of individuals that changes residence during the year.…

Q: a) Compute the number of ways in which 5 lottery balls can be selected from a pool of 39 balls.…

A: a) We can select 5 balls from 39 balls in 39C5=575757 ways. We can match all the 5 numbers in 5C5=1…

Q: If three balls are randomly selected one at a time without replacement, how many different…

A: A bag contains 6 different balls that are alike except for color. The colors are red, white, blue,…

Q: Suppose that a box contains 5 RED blocks, 3 BLUE blocks, and 6 GREEN blocks. Suppose that 8 are…

A: Consider a random variable X which represents number of red balls drawn. It will follow…

Q: According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a) If…

A: Given Information: 80% of adult smokers started smoking before turning 18 years old. i.e., p=0.80…

Q: Suppose that the International University of Science and Management has 1100 female students and 900…

A: The probability that exactly 8 of the selected students are female is obtained below: From the given…

Q: Assume that when adults with smartphones are randomly selected 55% of them using meetings or classes…

A:

Q: Assume that when human resource managers are randomly selected, 64% say job applicants should follow…

A:

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given: Bag has 43 R , 54 B , 72 G 2 balls are chosen at random without replacement

Q: What is the probability that a set of n ≥ 2 has two permutations that are the reverse of one…

A:

Q: 19. What is the probability that a number selected at random from the first 50 positive integers is…

A: GivemTotal no.of positive integers = 50

Q: A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and…

A:

Q: Suppose that China's population policy is modified so that every family could have children until…

A:

Q: What is the probability of randomly picking a number from 1 to 10 that is even or randomly picking a…

A: The even numbers are=2, 4, 6, 8, 10. There are 5 even numbers. n(even)=5 The odd numbers are= 1, 3,…

Q: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

A: Given : Probability of success,p = 0.15 Probability of failure,q=(1- 0.15 )= 0.85…

Q: Suppose that in a particular year, the U.S. government held a lottery to issue 63,000 Green Cards…

A: Given data suppose that in Particular year the U.S government held a lottery to issue 63,000 green…

Q: 6. If three balls are selected at random without replacement, how many combinations are possible? If…

A:

Q: Suppose that 24% of people own dogs. If you pick two people at random, what is the probability that…

A: Given 24% of people own dogs

Q: Suppose we want to form three-digit numbers using the set of digits [0,1,2,3,4,5). For example, 501…

A: a) Since 0 cannot be at first position, 2nd and 3rd position can take any number from the provided 6…

Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: Let's assume that we randomly selected 3 people from a class that we know 40% are male . Among the…

A: a)Let X be the number of females in the class. Then, X follows binomial distribution and pdf…

Q: According to the most recent Labor Department data, 10% of engineers (electrical, mechanical, civil,…

A: Given that,  Sample size (n) = 14 P = 10% P(x

Q: What is the probability that a card chosen from an ordinary deck of 52 cards belongs to a red suit?…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose that the Student Representative Council (SRC) consists of 23 people (9 men and 14 women).…

A: The probability of any event is calculated asPany event=number of favorable outcomestotal number

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: Suppose thereare30 people at a party. Do you think any two share the same birthday?  Let's use a…

A: Random sample of 30 people is taken. First find the probability that all have different birthdays .…

Q: 2) Suppose that 6 balls will be randomly put into 4 urns (with each ball being equally likely to be…

A: Given,n=6p=14X=no.of balls put into the urnsX~Binomial(n=6,  p=14)P(X=x)=cxn px(1-p)n-x  ;…

Q: What is the maximum number of people in a gathering such that the probability of two people having…

A: Given, The probability of two people having the same birthday doesn’t exceed 60%.

Q: Assume that 4 digits are selected at random from the set {1,2,5,6,7,8,9}{1,2,5,6,7,8,9} and are…

A:

Q: According to an almanac, 60% of adult smokers started smoking before turning 18 years old. (a) If…

A: Given : p = 0.60 n = 300

Q: 80​%of adult smokers started smoking before turning 18 years old. ​(a) If 200 adult smokers are…

A: Given that   Percent Adult smokers started smoking before 18 years old  = 80% = 0.80   We know that…

Q: According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a) If…

A: Solution

Q: Suppose that the Student Representative Council (SRC) consists of 23 people (9 men and 14 women).…

A: The student representative council (SRC) consists of 23 people (9 men and 14 women). From this…

Q: Suppose a box of 40 donut holes, out of which 16 are glazed and 24 are not glazed. If the…

A:

Q: ou randomly select an integer from 0 to 24 inclusively and then randomly select an integer from 0 to…

A: Solution: Given information: The  integer from 0 to 24  inclusively Total integer = 25  The integer…

Q: 4. The probability a red marble selected at random from a jar containing p red, q blue and r green…

A: We have given that  A jar containing p red marbles, q blue marbles and r green marbles

Q: In a random sample of 1,000 people, it is found that 7.2% have a liver ailment. Of those who have a…

A: Given 7.2% have a liver ailment 10% are heavy drinkers 50% are moderate drinkers 40% are nondrinkers…

Q: Assume that when human resource managers are randomly​ selected, ​54% say job applicants should…

A:

Q: 2.) An inspection procedure at a manufacturing plant involves picking three items at random and then…

A: Given Information: An inspection procedure at a manufacturing plant involves picking 3 items at…

Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: Suppose that 75% of all voters prefer Candidate A. If 10 people are chosen at random for a poll,…

A: From the provided information, 75% of all voters prefer Candidate A that is (p) = 0.75 Sample size…

Q: Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown…

A: Given information: Three of the ten machines are defective. Two machines are selected at random…

Q: Suppose an ATM PIN must consist of 4 numbers from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, with…

A: 1) Since repeation is allowed so all the fours places will have 10 numbers of that it can be filled.…

Q: Assume that when adults with smartphones are randomly selecte than 3 of them use their smartphones…

A: It is given that, 46% adults use smartphone in meetings or classes i.e. P(Using smartphone) = p=…

Q: 2. If a coded item in a catalogue begins with 3 distinct letters followed by 4 distinct non-zero…

A: Given, If a coded item in a catalogue begins with three distinct letters followed by 4 distinct…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.