A card is drawn out of a regular deck of 52 cards, and it is not returned back into thedeck. A second card is drawn out of the remaining 51 cards. Is the result of thesecond card drawn dependent on or independent of the result of the first carddraw?independentdependent Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year)that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20-64; 13.61% are age 65 or over. Ofthe licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20-64; 13.53% are age 65 or over.<20 20-64Female 0.0244 0.3954Male 0.0259 0.4186Totals0.0503 | 0.8140>64Totals0.0661 0.4860.0695 0.5140.13561According to this contingency table: are the events of being Male and being Femaledisjoint?Yes, they are disjoint.No, they are not disjoint.

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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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Suppose you are playing a game of Yahtzee. You know that you play with 5 dice, each with 6 sides. Since the dice are all rolled at the same time, let the roll (5, 4, 3, 2, 1) to be equal to (2, 4, 5, 1, 3). Assume for this question that we will only be rolling the dice once. (i) How many ways can you roll all the dice? (ii) To win 50 points you would need all the dice to roll the same number (ex. (1, 1, 1, 1, 1)). How many ways can you win the 50 points? (iii) Suppose you are trying to get your dice to roll only consecutive numbers (ex. (1, 2, 3, 4, 5) or (2, 3, 4, 5, 6)) How many different ways are there to do this? (iv) Suppose instead you are trying to get your dice to roll 4 consecutive numbers (ex. (1, 2, 3, 4, 1) or (2, 3, 4, 5, 3)) How many different ways are there to do this? (make sure to not count any only consecutive numbers) This is a combinatorics math counting problem.
A fair did is rolled two times. What is the probs that both rolls are 3?
List all the possible outcomes from flipping a coin twice and spinning a spinner with three sections labeled red, yellow, and blue. {HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb, TTr, TTy, TTb} {HH1, HH2, HH3, HH4, HT1, HT2, HT3, HT4, TH1, TH2, TH3, TH4T, TT1, TT2, TT3, TT4} {HHr, HHy, HHb, HTr, HTy, HTb, THr, THy, THb} {HH1, HH2, HH3, HT1, HT2, HT3, TH1, TH2, TH3, TT1, TT2, TT3}
An experiment consists of rolling a pair of fair dice, one red and one green. An outcome is an ordered pair (r,g), where r is the number on the red die and g is the number on the green die. List all outcomes of this experiment.
A player pays a certain amount of money to randomly roll a 6-sided and a 4-sided die, both balanced. If the sum of the dice is less than 5 or greater than 9, the player receives a prize of $ 90. Otherwise he loses the money paid to play, in dollars and cents, to keep this game fair. Write only the number corresponding to the prize without a dollar sign and rounded to 2 decimal places.
In a study of pain relievers, 25 people were given product A, and 17 experienced relief. In the same study, 100 people were given product B, and 62 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product (Choose one) v performed worse in the study. That is because % failed to get relief with this product, whereas only % failed to get relief with Product (Choose one) v.
A person, Joe, claims to be able to "smell" an illness based on the odor of a person's clothing. Joe is given 12 shirts, each worn by a different person, some of whom had the illness and some of whom did not. The shirts were given to Joe in random order and he had to decide whether each shirt had been worn by an ill patient or by a healthy patient. joe identified 11 of the 12 shirts correctly. If we assume that Joe was just guessing, he would have probability 1/2 of correctly identifying each shirt. Find the probability that Joe would identify AT LEAST 11 shirts correctly by random guessing
A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )
A box of chocolates contains 39 chocolates of 3 different flavours: 13 dark, 17 milk and 9 white. You randomly pick 9 chocolates. Find the probability that: (a) 8 chocolates are dark, 1 are milk and 0 are white. (b) you get only dark chocolates (c) you get only chocolates of the same kind (d) you get at least one chocolate of each kind. Write the results in fractional form.
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A card is drawn out of a regular deck of 52 cards, and it is not returned back into the deck. A second card is drawn out of the remaining 51 cards. Is the result of the second card drawn dependent on or independent of the result of the first card draw? independent dependent