2000 independent rolls of a fair die will be made. Compute an approximation to the probability that number 6 will appear between 300 and 400 times inclusively. If number 6 appears exactly 400 times, find the probability that number 5 will appear less than 300 times.

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

A:

Q: suppose that 64% of people own dogs. If you pick two people at random, what is the probability that…

A: Solution: Given information: Let A be the event that people having own dog P(A)= 0.64

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person own dogs.Then,p=0.54.

Q: Assume that when human resource managers are randomly​ selected, 57​% say job applicants should…

A: Givenp=0.57n=20x~Binomial(n=20,p=0.57)P(X=x)=(nx)×px×(1-p)n-x  ; x=0,1,...,n

Q: Suppose that 67% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that,  Let X be the number of dogs from binomial distribution with probability of dogs…

Q: The probability that it came from subcontractor B, is

A: Here use Bayes rule

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A: Given p=0.55 and n=25 Let X be the adults using smartphones in meetings and classes X ~ B(n, p)…

Q: A fair die with 6 sides is rolled 3 times, and every time it lands on a 4. Find the probability…

A: Introduction: The given die is fair and has 6 sides. Thus, the probability of each possible outcome,…

Q: In a certain lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A:

Q: A poll is given showing 80% are in favor of a new project if 5 people are chosen at random, what…

A:

Q: Compute the probability that two or more students in a class of 20 students have the same birthday.

A: From the provided information, A class has 20 students. Assume that every year has 365 days. If the…

Q: A their steals an ATM card and must randomly guess the correct pin code that consists of four digits…

A: Number of possible outcome:Every single digit can take values from 0 to 9. Thus, there are 10…

Q: Find the probability that a single toss of a balanced die results in a number less than 4 if, (a)…

A:

Q: Suppose that 10% of people own dogs. If you pick two people at random, what is the probability that…

A: From the provided information, 10% of people own dogs that is p = 0.10 Sample size (n) = 2 X~B (2,…

Q: find the probability that exactly 2 of them say job applicants should follow up within two weeks.

A: Let p be the probability that human resource managers say job applicants should follow up within two…

Q: Suppose that 58% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 58% of people own dogs Two people are randomly selected. We have to find they both own a…

Q: If 10 cards are to be chosen at random (without replacement) from an ordinary deck of 52 cards, find…

A:

Q: Suppose that 44% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the given information, we have 44% of people own dogs.

Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose two standard die are rolled and it is known that one of the die landed on a four. What is…

A: Solution -Given that Two standard die are tossed then the total number of possible outcomes=62=36…

Q: Suppose that 66% of people own dogs. If you pick two people at random, what is the probability that…

A: We want to find what is the probability that they both own a dog?

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: A six-sided die with A, B, C, D, E and F written on it is rolled once. Determine the probability…

A: In A, B, C, D, E, and F, the consonants are B, C, D, F. So there are 4 consonants in the 6 letters.…

Q: There are 8 black bals and 6 red balis in an urn, If4 bals are drawn without replacement, what is…

A: Here Ball is not replaced after drawing  so We have to Use hypergeometric Model for this Scene  Here…

Q: Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 oranges,…

A: Probability is the chance they occurrence in the event. Combination is the possible arrangement of…

Q: Suppose that 52% of people own dogs. If you pick two people at random, what is the probability that…

A: Given52% people of own dogp=0.52n=2Let "x" be the people own…

Q: Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or…

A: Let X be the number of adults use their smartphones in meetings or classes which follows binomial…

Q: Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or…

A: Given: Number of samples (n) = 20 Probability of success (p) = 0.57 Probabilty of failure (q) = 1-p…

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: 33 cards numbered from 1 through 33 are placed into a box and two cards are selected without…

A: The probability that both numbers selected are odd, given that their sum is even is 0.5313 and it is…

Q: Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the…

A: Given data:   The given numbers of the tickets are n(S)=50.   The expression for the number of…

Q: Assume that when adults with smartphones are randomly​ selected, 51​% use them in meetings or…

A:

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Assume that when adults with smartphones are randomly​ selected, 58​% use them in meetings or…

A: Given, Assume that when adults with smartphones are randomly​ selected, 58​% use them in meetings or…

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 41% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: It is reported that the probability that a worker drive to work alone is 0.7. Assume 8 workers are…

A: Answer - Given the probability that a worker drive to work done is P = 0.7.                Number of…

Q: Suppose that 57% of people own dogs. If you pick two people at random, what is the probability that…

A: Provided data is, 57% of people own dogs. Two people picked up randomly. The required probability…

Q: A die and an equal n-segment colour spinner (with n-different colours) are spun simultaneously. The…

A:

Q: Suppose that 36% of people own dogs. If you pick two people at random, what is the probability that…

A: Use the given information to obtain the objective of the problem. The probability that people own a…

Q: What is the probability that it takes 11 rolls to get your first “5” when rolling a fair 6-sided die

A: Given information: It takes 11 rolls to get your first “5” when rolling a fair 6-sided die.…

Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Givenno.of people own dogs = 0.20

Q: Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that…

A: Given: p (people own dogs) = 0.35 We will assume independence

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 44​% use them in meetings or…

A: Introduction: Binomial Distribution: Binomial distribution is a common probability distribution that…

Q: Suppose that 23% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 23% of people own dogs, if you pick two people at random  Then probability that they own…

Q: Compute the probability that the number 2 appears 5 times when a fair die is rolled 8 times.

A: We have to find given probability.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.