5 Chapter - Additional Practice Problems Binomial Distribution MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 12 1) 2 A) 66 20 1 A) 19 B) 21 C) 1 D) 20 B) 3,628,800 C) 7,257,600 D) 6
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 3) A coin is biased so that the probability it will come up tails is 0.47. The coin is tossed three times. Considering a success to be tails, formulate the process of observing the outcome of the three tosses as a sequence of three Bernoulli trials. Complete the table below by showing each possible outcome together with its probability. Display the probabilities to three decimal places. List the outcomes in which exactly two of the three tosses are tails. Without using the binomial probability formula, find the probability that exactly two of the three tosses are tails. Outcome Probability hhh (0.53)(0.53)(0.53) = 0.149 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated binomial probability. 4) What is the probability that 6 rolls of a fair die will show four exactly 2 times? A) 0.00670 B) 0.01340 C) 0.41667 D) 0.20094 5) 4) 3)
5) A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the probability of getting exactly 3 defects in a batch. A) 2.6665 Find the indicated probability. 6) A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? A) 0.055 B) 0.117 C) 0.945 D) 0.172 B) 2.88 C) 0.22105 D) 3453.87152
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7) A machine has 7 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working. A) 0.029 B) 0.033 C) 0.967 D) 0.996
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8) An airline estimates that 96% of people booked on their flights actually show up. If the airline books 80 people on a flight for which the maximum number is 78, what is the probability that number the of people who show up will exceed the capacity of the plane? A) 0.1272 B) 0.0382 C) 0.3748 D) 0.1654
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Find the mean of the binomial random variable. 9) The probability that a person has immunity to a particular disease is 0.6. Find the mean for the random variable X, the number who have immunity in samples of size 26. A) 13.0 B) 15.6 C) 10.4 D) 0.6 10) 9)
10) In a certain town, 90 percent of voters are in favor of a given ballot measure and 10 percent are opposed. For groups of 220 voters, find the mean for the random variable X, the number who oppose the measure. A) 10 B) 198 C) 90 D) 22
Find the standard deviation of the binomial random variable. 11) On a multiple choice test with 16 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the random variable X, the number of correct answers. A) 1.732 B) 1.643 C) 1.697 D) 1.677 11)
Find the specified probability distribution of the binomial random variable. 12) In one city, 21% of the population is under 25 years of age. Three people are selected at random from the city. Find the probability distribution of X, the number among the three that are under 25 years of age. A) x P(X = x) 0 0.4930 1 0.3932 2 0.0925 3 0.0213 B) x P(X = x) 0 0.4930 1 0.1311 2 0.0348 3 0.0093 C) x P(X = ...