Let’s toss a biased coin twice and check the face of the coin. The probability for head and tail are a and b, respectively. (a) Determine the sample space. (b) Let Ti denote the event that the face is tail at i-th toss. Check if T2 and T4 are independent events
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. Let’s toss a biased coin twice and check the face of the coin. The probability for head
and tail are a and b, respectively.
(a) Determine the sample space.
(b) Let Ti denote the
independent events
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- Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M FIdentify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the multiples of 3 between 1 and 20 The sample space is {}. (Use a comma to separate answers as needed. Use ascending order.) There are outcome(s) in the sample space. ...A recent poll has suggested that 64 % of Canadians will be spending money - decorations, halloween treats, etc. - to celebrate Halloween this year.22 Canadians are randomly chosen, and the number that will be spending money to celebrate Halloween is to be counted. This count is represented by the random variable X.Part (d) Compute the probability that the 13-th Canadian random chosen is the 9-th to say they will be spending money to celebrate Halloween.___________(use four decimals in your answer)
- K rch Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 9-foot and a 12-foot model, and each is available in gray, forest green, and white. (a) He buys a 12-foot forest green umbrella. (b) He buys a 9-foot umbrella. (c) He buys a gray-colored umbrella. Write out the sample space. Choose the correct answer below. OA. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green), (12-foot, white)} OB. {(9-foot, 12-foot), (gray, forest green), (forest green, white), (gray, white)} OC. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green)} OD. Ø (a) He buys a 12-foot forest green umbrella. The probability is (Type an integer or a simplified fraction.) O t ... er (DELL) Time Remaining: 01:36:59 66°F @ 3 Next 2:27 PM 12/3/2022Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The outcomes HT and TH are different and the HT means that the first coin showed heads and the second coin showed tails. The TH means that the first coin showed tails and the second coin showed heads. Let A = the event of getting at least one tail while letting B = the event of getting all tails. What is the probability of event A ∩ B? a. 0.66 b. 0.50 c. 0.25 d. 0.75Suppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 35
- 5 coins are put in a bag. 3 of the coins are weighted with the probability of flipping heads being three times as great than the probability of flipping tails; the remaining coins are fair. One of these coins is selected at random and then flipped once. What is the probability that a weighted coin was selected given that heads was flipped? Write the answer as a fraction.Let E and F be mutually exclusive events in a sample space S. The odds that E occurs are 3:5 and the odds F occurs are 2:8. If it is known that either E or F occurred, what are the odds that the event was E? The odds that E occurred areDO (Type whole numbers. Simpity your answer.)A shipment of 40 inexpensive digital watches, including 6 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in K the sample are found defective. What is the probability that the shipment will be rejected? The probability the shipment will be rejected is (Simplify your answer Type an integer or decimal rounded to two decimal places as needed) ***
