A corporation is evaluating a proposed merger. The board of directors surveyed 53 stockholders concerning their position on themerger. The results are reported below: (Round the final answers to 1 decimal place.)OpinionNumber of Shares HeldUnder 200200 to under 10001000 or moreTotalFavour65516%Opposed591226Undecided431411Total15172153a. What is the probability that a stockholder holds 1000 or more shares?Probability%b. What is the probability that a stockholder holds less than 200 shares and is in favour of the merger?Probabilityc. What is the probability that a stockholder holds between 200 to under 1000 shares or is opposed to the merger?Probability%d. What is the probability that a stockholder holds under 200 shares given that he/she is opposed to the merger?Probability

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 10. The probability that the sum of the dice is 10 is 0.3 (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is 0.333 (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 5 or 7. The probability that the sum of the dice is 5 or 7 is 0.139 (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 2, 11, or 8. The probability that the sum of the dice is 2, 11, or 8 is 0.222 (Type an integer or a decimal. Round to…
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Out of 2500 light bulbs that were tested, 135 were defective. Based on this information calculate the following probabilities. Enter your answers as a reduced fraction using / for the fraction bar. P(defective) = Answer P(not defective) = Answer S
The table gives probabilities for results of flipping six coins. Complete parts (a) through (c) below. Click here to view the table. a. What is the probability that all six tosses are the same (all heads or tails)? The probability is (Simplify your answer.) b. What is the probability that the six tosses are not all the same? The probability is (Simplify your answer.) c. What is the probability of getting two heads and four tails when you toss six coins at once? The probability is. (Simplify your answer.) Data table Result 0 heads, 6 tails 1 head, 5 tails 2 heads, 4 tails 3 heads, 3 tails 4 heads, 2 tails 5 heads, 1 tail 6 heads, 0 tails Probability 1 2- 20 25 52 3|w2|| 64 64 16 15 32
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The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 12. The probability that the sum of the dice is 12 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 4 or 11. The probability that the sum of the dice is 4 or 11 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 5, 6, or 8. The probability that the sum of the dice is 5, 6, or 8 is (Type an integer or a decimal. Round to three decimal places as…
Consider the following table and answer the questions. Write your answers as fractions. Major Biology Business Engineering Mathematics Computer science Female 34 40 40 31 28 Male 41 36 34 25 38 a. What is the probability that a randomly selected person is a female? b. What is the probability that a randomly selected person is a male whose major is Mathematics? c. If a woman is randomly selected what is the probability that she is studying business? d. If a group of 6 students is selected at random what is the probability that it has 4 females and 2 males?
Roll a Diea. Suppose you roll a single die and count the number of dots on top. List the sample space ofall possible outcomes.b. Assign probability to the outcomes of the sample space from part (a). Do the probabilitiesadd up to 1? Should they add up to 1? Explainc. What is the probability of getting a number less than 5 on a single throw?d. What is the probability of getting 5 or 6 on a single throw?

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