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- Thank you so much!Which of the following pair of events are independent? A) Event I: You sleep late.Event II: You are late for class. B) Event I: You write proper thank-you notes.Event II: You get invited back.C) Event I: The first time you flip a coin, you get head.Event II: The second time you flip a coin, you get tail. D) Event I: General Electric stock goes up.Event II: General Motors stocks goes up.1) The question screenshot attached down below just need final answer.
- 4b) Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on board. The events A and B are defined as follows: A= event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. True 2 False theFrom a standard deck of 52 playing cards, 1 card is selected. Which pairs of the following events are mutually exclusive? Q=(red) R=(5 of spades) M=(spade) N=(face card) P= (black) Choose the correct answer below. A. P and Q OC. M and N, N and R, P and Q, Q and R OE. M and Q, M and R, N and R, P and Q, Q and R OG. M and N, P and Q OL M and Q, N and R, P and Q, P and R OB. M and Q, M and R, P and Q, Q and R OD. M and Q, N and R, N and P, N and Q, P and Q, Q and R OF. P and R, Q and R OH. M and Q, N and R, P and Q, Q and R OJ. NoneThere are 7 acts in a talent show. An acrobat, a comedian, a guitarist, a juggler, a magician, a pianist, and a whistler. A talent show host randomly schedules the 7 acts. Compute the probability of each of the following events. Event A: The juggler is first, the pianist is second, the acrobat is third, and the magician is fourth. Event B: The first four acts are the pianist, the magician, the juggler, and the acrobat, in any order. Write your answers as fractions in simplest form. P (4) = 0 P (B) = 0 Check 2021 McGraw Hilli 20 étv MacBook esc F1 F2 F3 F4 F5 F6 F7 F8 @ $ 4 & 1 3 5 7 Q W E R T Y tab A S F caps lock N M * CO olo
- Lacy draws a '10' from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a '5'. Are these events independent? Input Yes or No: Linda draws a '10' from a standard deck of 52 cards. She replaces the first card, and proceeds to draw a second card and gets a '5'. Are these events independent? Input Yes or No:Which of the following illustrate a non mutually 1 exclusive events? * Winning and losing in a game. Getting a head and a tail in a toss of a coin. Getting a spade and a queen in a draw of a card. O Getting a 2 and a 4 in a toss of a die.A card is drawn from a standard deck. Event A: picking a card that is a heart; Event B: picking a card that is black. Are events A and B mutually exclusive? * O yes maybe cannot be determined O no
- A As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). a. If a card is randomly selected, what is the probability of drawing a(n) 10 of one suit? b. If a card is randomly selected, what is the probability of drawing club or diamond? c. If a card is randomly selected, what is the probability of drawing a number smaller than 3 (counting the ace as a 1)?1. Geno and Smith collaborated in a Math256 Midterm recently and both received 90 out of a possible 100 points. The events, Geno receiving 90 points and Jason receiving 90 points are : d. All of the answer options are correct.b. disjoint events a. independent events c. dependent events 2. In his Fall Math256 class, 40% of the students studied at least 15 hours per week, 30% of the students received a 4.0, and 10% studied at least 15 hours per week and received a 4.0. Find the probability of students who either studied 15 hours per week or received a 4.0? a. 0.4 d0.7 c. 0.1 b. 0.6 3. Two high school seniors find themselves with much time and nothing to do. They decide to devise a computer game in which a cursor moves randomly along the x axis between 0 and 4. The game they play is to stop the cursor at random points between O and 4 without looking at the screen. Such a game results in a uniform distribution over the interval between 0 and 4 and resembles a density curve. The area…