I. Multiple-choice questions (1) A die is rolled 60 times with the following results recorded: utcome...
1. If a die is rolled 3 times, find the probability of getting at least 1 even number. 2. A student takes a 3-question, multiple-choice exam with 4 choices for each question out of which one choice is correct and guesses on each question. Find the probability that the student guessed two questions correctly.
The table below shows the results for the sum when two die are rolled Die 1 Die 2 12 3 45 6 1 2 345 67 2 3 456 78 3 4 567 89 4 5 67 8 9 10 5 678 9 10 11 6 7 89 10 1112 1. What is the probability distribution? (Enter the exact values by using fractions. Use as the division bar. Do not use spaces in your answers.) 4 P(z) 10 12 P(z)...
A fair, 10-sided die with sides labeled 1 through 10 is rolled 20 times. The results are shown in the following table. Number rolled Number of times rolled 1 2 3 4 5 6 7 8 9 10 01 3 2 4 1 3 2 1 3 The theoretical probability of rolling an even number on this die is _[blank 1), and the experimental probability of rolling an even number on this die _[blank 2). Match each blank with the...
Two dice were rolled. Answer the questions: I) What is the probability that the first die will have a number that is a multiple of 2 as the outcome? (10 points) a. 1/2 b. 1/5 c. 1/6 d. 1/36 e. None of the above II) What is the probability that the first die will have “a number less than 4” as the outcome? (10 points) a. 1/5 b. 1/3 c. 1/6 d. 1/36 e. None of the above III) What...
(MA-262 review) A fair six-sided die is rolled four times, and each result is recorded, in order. Determine (a) the probability that there are exactly two results (among the four) that are each a 3, and (b) the probability that the sum of the four results is 23. [Answers: 0.11574, 0.0030864.]
Question 9 O Mark this question La'Vonn rolled a die 100 times. His results are below. Number Times Rolled What is the relative frequency for La'Vonn rolling a 3? Answer choices are rounded to the hundredths place. O 0.07 O 0.38 O 0.01 O 0.15
A die was rolled 600 times with the following results. Use the Chi-square Goodness of Fit Test to test whether the die is balanced. Use a significance level of 0.05. Give the null and alternative hypotheses, test statistic value, decision rule, and p-value. value 1 2 3 4 5 6 Frequency 87 96 108 89 122 98
A fair die is rolled 10 times. What is the probability that an odd number (1, 3 or 5) will occur less than 3 times? A. .0547 B. .1172 C. .1550 D. .7752 E. .8450
5. A dle was rolled 90 times. The results were: Observed # Frequency 1 20 2 22 3 10 4 8 5 13 6 17 Find the test- statistic that would be used to determine whether the die is a goodness of fit or is loaded.
Two dice were rolled. Answer the questions: I) What is the probability that the first die will have a number “5” as the outcome? (10 points) a. 1/5 b. 1/2 c. 1/36 d. 1/6 e. None of the above II) What is the probability that the first die will have “an even number” as the outcome? (10 points) a. 1/5 b. 1/2 c. 1/36 d. 1/6 e. None of the above III) What is the probability that the sum of...