You're dressing in the dark because of a power failure. You have four black socks and...
You're dressing in the dark because of a power failure. You have four black socks and eight red socks on a drawer. You pull out three socks. (Hypergeometric Probability Distribution)
a) What is the probability that two are black? Carry answer to the nearest ten-thousandth
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You're dressing in the dark because of a power failure. You have
four black socks and...
Need help please 14) Sock hop (ExH). You have 10 pairs of socks, five black and...
Need help please
14) Sock hop (ExH). You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. It's early in the morning, and you don't want to turn on the lights in your dark room. How many socks must you pull out to guarantee that you have a pair of one color? How many must you pull out to have two good pairs (each...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days. a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2 After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...
1) In a new lottery game called "Minibucks", you select four numbers between 1 and 29....
1) In a new lottery game called "Minibucks", you select four numbers between 1 and 29. If you match all four numbers with the four numbers chosen by the lottery that day, you win the jackpot. (It doesn't matter whether the order that the lottery selected the numbers matches the order that you selected the numbers). What is the minimum number of different Minibucks tickets you would need to buy for one drawing in order to be 100% certain to...
you have 60 cards, half are red and half are black. what is The probability A)...
you have 60 cards, half are red and half are black. what is The probability A) to get the first two red B ) the first three red C) the first two red and the third is black
12. a) Find the expected value E(CX) for the probability distribution: -2 0.3 0.5 0.2 You...
12. a) Find the expected value E(CX) for the probability distribution: -2 0.3 0.5 0.2 You are playing a coin-tossing game with a weighted coin, where P(H)"%, If you get a head, you win SI and if you get a tail, you pay S1.b) Would you put in (ante) $1.25 to start the game? b) c) A binomial distribution for the random variable X, consists of 1000 trials, where p(success)- 0.75. What is ECX)? c) Extra Credit My sock drawer...
3. You have a standard deck of 52 playing cards. There are two colors (black and...
3. You have a standard deck of 52 playing cards. There are two colors (black and red) and four suits (spades are black, clubs are black, hearts are red, and diamonds are red). Each suit has 13 cards, in which there is an ace, numbered cards from 2 to 10, and three face cards (jack, queen, and king) a. You randomly draw and then replace a card. What's the probability it's an ace? What's the probability it's the 4 of...
3. An urn contains 2 black, 2 red, and 4 white marbles. You draw a marble...
3. An urn contains 2 black, 2 red, and 4 white marbles. You draw a marble at random. a) What is the sample space? b) What are all events (power Class)? c) What is the probability of each event? 4. A coin is tossed ten times and number of heads is noted. a) What is the probability that the number of heads is four? b) What is the probability of at least seven heads come? 6. X is a Binomial...
Question If you toss a fair die four times, what is the probability that you get...
Question If you toss a fair die four times, what is the probability that you get at most one six? Select one: O a. 0.1319 O b. 0.1667 O c. 0.3333 O d. 0.5683 e. 0.8681 Question I draw three marbles from a bag containing 6 red marbles, 10 blue marbles and 14 green marbles, all indistinguishable except for their colour. The marbles are drawn WITH replacement, and the bag is properly shaken after each marble is returned. Let X...
(UPS Battery) On January 1, 2015, you bought a backup battery for your office uninterruptible power supply (UPS) sy...
(UPS Battery) On January 1, 2015, you bought a backup battery for your office uninterruptible power supply (UPS) system. In each of the next three years, the battery can fail and a new battery needs to be bought (if you want to keep using the UPS system). The maximum lifespan of the battery is four years; i.e., the battery must be replaced after four years. Due to chemical properties, the probability of the battery failure is fixed at 20% in...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at ra...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
Need help please
14) Sock hop (ExH). You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. It's early in the morning, and you don't want to turn on the lights in your dark room. How many socks must you pull out to guarantee that you have a pair of one color? How many must you pull out to have two good pairs (each...
12. a) Find the expected value E(CX) for the probability distribution: -2 0.3 0.5 0.2 You are playing a coin-tossing game with a weighted coin, where P(H)"%, If you get a head, you win SI and if you get a tail, you pay S1.b) Would you put in (ante) $1.25 to start the game? b) c) A binomial distribution for the random variable X, consists of 1000 trials, where p(success)- 0.75. What is ECX)? c) Extra Credit My sock drawer...
3. You have a standard deck of 52 playing cards. There are two colors (black and red) and four suits (spades are black, clubs are black, hearts are red, and diamonds are red). Each suit has 13 cards, in which there is an ace, numbered cards from 2 to 10, and three face cards (jack, queen, and king) a. You randomly draw and then replace a card. What's the probability it's an ace? What's the probability it's the 4 of...
3. An urn contains 2 black, 2 red, and 4 white marbles. You draw a marble at random. a) What is the sample space? b) What are all events (power Class)? c) What is the probability of each event? 4. A coin is tossed ten times and number of heads is noted. a) What is the probability that the number of heads is four? b) What is the probability of at least seven heads come? 6. X is a Binomial...
Question If you toss a fair die four times, what is the probability that you get at most one six? Select one: O a. 0.1319 O b. 0.1667 O c. 0.3333 O d. 0.5683 e. 0.8681 Question I draw three marbles from a bag containing 6 red marbles, 10 blue marbles and 14 green marbles, all indistinguishable except for their colour. The marbles are drawn WITH replacement, and the bag is properly shaken after each marble is returned. Let X...
(UPS Battery) On January 1, 2015, you bought a backup battery for your office uninterruptible power supply (UPS) system. In each of the next three years, the battery can fail and a new battery needs to be bought (if you want to keep using the UPS system). The maximum lifespan of the battery is four years; i.e., the battery must be replaced after four years. Due to chemical properties, the probability of the battery failure is fixed at 20% in...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
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