A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group. a) What is the probability that they are in the same time zone? b) What is the probability that they are all in different time zones? c) What is the probability that exactly two time zones will be represented in this group?

Q: 20) In one town, 45% of all voters are Democrats. If four voters are randomly selected for a survey,…

A: This is the case of binomial because there are only two possible outcomes, i.e., Democrats or not…

Q: In New York State's Quick Draw lottery, players choose between one and ten numbers that range from…

A: It is given that in a lottery game, players choose between 1 and 10 numbers that range from 1 to 80.…

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: There are 12 balls in an urn: 4 white, 8 black. Three blindfolded people take turns picking a ball.…

A: From the provided information, There are 12 balls in an urn: 4 white, 8 black. Total balls = 12…

Q: In a bag of marbles, there are 12 green, 12 blue, and one red. Find the probability for each…

A: As per given by the question, there are 12 green, 12 blue, and one red marbles in a bag. Now, 1.…

Q: A quiz has 12 multiple choice questions with each having 3 choices. Suppose a student decides to…

A:

Q: A pair of fair dice are rolled one time. What is the probability that the sum of the two dice is…

A: Here we have to probability that sum of two dice is equal to 4 or sum is odd number when a pair of…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A:

Q: A lock consist of 4 dials. Where each dial has six letters. what is the probability of guessing the…

A: From the provided information, A lock consists of 4 dials, where each dial has six letters.

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

Q: A 4-digit PIN is selected. What is the probability that there is exactly one repeated digit and that…

A: In a 4 digit pin each of the positions can be filled with one of the 10 digits. Therefore one…

Q: The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a three-digit number. (Digits are not…

A: Given digits is 2,3,4,5,6,7No.of digits = 6No. of digits number to be arranged = 3

Q: assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes.…

A:

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: An article contains 1303 words. The frequencies of words with various lengths are given in the…

A: The question is about probability Given :

Q: A single die is rolled eight times. Find the probability that 5 appears at most three times.

A: It is given that a single die rolled 8 times. That is probability of getting a 5 on each trial is…

Q: committee of 8 is to be formed from a group of 7 mothers, 6 fathers, and 8 children. What is the…

A: Total member = 7 + 6 + 8 = 21Committee formed of member = 8

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Denote X as the adults who use their smartphones in meetings or classes, which following binomial…

Q: fair coin is flipped 100 times . Find the probability that at least 75 heads occur

A: n =100 , p = 0.5 np = 50 > 10 n(1-p) = 50 > 10 =======================

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: Find the probability that a randomly selected group of four children will contain exactly three…

A: Given that  Success of probability p =1/2=0.5 Number of trials n=4 X~binomial ( n ,p)

Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected…

A: Given that  Shipment contains rocks  igneous = 10 Sedimentary = 8 Metamorphic = 8 Total rocks = 26…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.