statistics Answers & Homework Solutions

A coin is weighted so that the probability of getting a head when the coin is flipped is 2/3. If the coin is flipped 600 times, find the probability of a) obtaining at most 400 heads b) obtaining at least 180 tails ...

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A coin is tossed twice, let A be the event in which the 1st toss gets heads and let B be the event that the 2ndtoss results in heads. Let C be the event that in both tosses the coin lands on the same side. i) Are...

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A coin is tossed three times. Which of the following is not a simple event? The event that a head, a tail, and a tail are obtained in the first, the second, and the third toss, respectively. The outcome consists of three heads. ...

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A coin is tossed three times. Consider the following events A: Heads on the first toss. B: Tails on the second. C: Heads on the third toss. D: All three outcomes the same (HHH or TTT). ...

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A coin is tossed three times. List all of the possible outcomes of the experiment Find the probability of the event. E: Getting at least two heads...

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A coin is tossed three times , or until the first "heads" appears , whichever occurs first. What is the sample space for this random experiment? A. S={H, TH, TTH, TTY} B. S={ H, HH, HHH} C. S={...

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A coin is tossed repeatedly until it falls heads for the fourth time. what is the probability that the fourth head occurs on the seventh toss? If nine coins are tossed what is the probability that the number of heads in even? how about 99 coins? 100...

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A coin is tossed repeatedly; on each toss a head is shown with probability p, satisfying 0 < p < 1, and a tail with probability 1 - p. All tosses are mutually independent. Let E denote the event that two successive heads occur earlier than two successive tails. With...

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A coin is tossed repeatedly and heads turn up on each toss with probability p . Let Hn and Tn be the numbers of heads and tails in n tosses. Show that, for each epsilon > 0. E STANDS FOR EPSILON!!...

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A coin is tossed and a die is rolled. Whats the probablity of getting a 5, and tossing heads ?...

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A child has a box of crayons containing 16 crayons. 4 of these crayons are damaged. Suppose the child randomly selects 2 of the 16 caryons to use.(without replacement). Let X equal the number of damaged crayons selected. Calculate the probability that x= 0. Calculate the probability that x= 1....

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A coin is tossed 52 times and 33 heads are observed. Would we infer that this is a fair coin? Use a 95% level confidence interval to base your inference. The sample statistic for the proportion of heads is: ______ (3 decimals) The standard...

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A coin is tossed 5 times. The probability of tails on any toss is 0.43. Let x denote the number of tails that comes up. Find the probability that tail shows up exactly twice. Find the probability that tail shows up at most once. Find the probability that tail shows...

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A coin is tossed 5 times. Find the probability that exactly 1 are tails. Find the probability that at least 2 are heads....

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A coin is tossed 4 times. What is the probability that the number of tails obtained will be 2?...

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A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?...

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A coin is tossed 13 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 5 heads? c) How many different outcomes have at least 2 heads? d) How many different outcomes have at most 9 heads? You have attempted this problem 0 times. You...

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A coin is tossed 11 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 9 heads? c) How many different outcomes have at least 2 heads ? d) How many different outcomes...

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A coin is tossed 1,000 times. You have two options: 1. To win $1 if the number of heads is between 490 and 510. 2. To win $1 if the number of heads is between 48% and 52%. Which option is better? They are equivalent Option 1 Option 2...

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a coin is tossed 10 times given that heads occurred for the first time on the second toss, what is the probability that heads occurred for the fifth time on the last toss?...

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A coin is flipped until heads occurs for the first time. a) What is the probability that heads occurs on the first flip of the coin? b) What is the probability that heads occurs on the first time on the second flip of the...

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A chewing gum manufacturer wishes to determine if her customers prefer one flavor gum to any other flavor. She selects a random sample of customers and records the flavor of gum that is purchased. Determine the test value for the data given. (Type and number of each sold: Spearmint 25;...

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A coin is flipped until 3 heads in succession occur. List only those elements of the sample space that, require 6 or less tosses. Is this a discrete sample space? Explain....

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A coin is flipped 6 times. In how many ways can we get a sequence consisting of 4 heads and 2 tails? please show work...

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A coin is flipped 50 times and lands on heads 18 times. You want to test the hypothesis that the coin does not come up 50% heads in the long run. What is the correct null hypothesis for this test? Choose the correct answer below. H_0: p = 0.36 H_0:...

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