1 85% i 8:05 pmi. If each die in a pair is "loaded"so that one comes up half asoften as it should, six comes uphalf again as often as it should,and the probabilities of theother faces are unaltered, thenthe probability distribution forthe sum X of the number ofdots on the top faces when thetwo are rolled is2 345 6716 229 10 11 1224 20 16 129P(x)144 144 144 144 144Compute each of the following.a. P(5 < X < 9).b. P(X > 7).c. The mean u of X. (For fair dicethis number is 7.)d. The standard deviation o of X.(For fair dice this number isabout 2.415.)9+56

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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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A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5. Find the probability distribution. Outcome 1 2 3 4 5 6 Probability What is the probability of rolling less than 5?
8.The data show the daily high temperature in a town every day for a week. Mon Tue Wed Thu Fri Sat Sun 76∘F 78∘F 81∘F 74∘F 69∘F 69∘F 70∘F How can you find the experimental probability that the high temperature on a given day was warmer than 75∘F? Count the number of days with temperatures above 75∘F and divide that number by the number of days in the week. Count the number of days with temperatures below 75∘F and divide that number by .75∘F. Count the number of days with temperatures above 75∘F75∘F and divide that number by 75∘F. Count the number of days with temperatures above 75∘F and divide that number by the number of days with temperatures below 75∘F.
Suppose that 75% of science students, 45% of business students, and 45% of humanities students pass a mathematics course. If 15% of the students in the course are science students, 15% are business students and 70% are humanities students, then the probability that a randomly selected student who has passed the course is a science student is O a. 0.429 O b. 0.214 O c. 0.525 d. 0.357 O e. 0.643
Solve question 3 all parts and show steps for the required parts. Please and thank you.
Which one of the following probabilities is cumulative probability? 1.The probability that there are exactly 4 people with o positive blood in a sample of 10 people. 2. The probability of exactly 3 heads in 6 flips of a coin 3. The probability that the accumulated annual rainfall in a certain city next year, rounded to the nearest inch, will be 18 inches. 4. The probability that a randomly selected woman's height is 67 inches or less
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
A couple decides to continue to have children until they have three daughters. Assuming that their probability of having a male offspring is 0.55, what is the probability that their third daughter is their sixth child? a. 0.6250 b. 0.1808 c. 1 d. 0.1516 e. 0.8125 f. 0.8192 g. 0.3750 h. 0.1875
Non-standard dice can produce interesting distributions of outcomes. Youhave two balanced, six-sided dice. One is a standard die, with faces having 1, 2, 3, 4, 5,and 6 spots. The other die has two faces with 1 spot, two faces with 3 spots, and twofaces with 6 spots. Find the probability distribution for the total number of spots X onthe up-faces when you roll these two dice.
A doctor is seeking an anti-depressant for a newly diagnosed patient. Suppose that, of the available anti-depressant drugs, the probability that any particular drug will be effective for a particular patient is p = 0.32. What is the probability that the patient will need toa. take 4 different drugs until the effective one is found. b. take 5 different drugs until the effective one is found. c. take 7 different drugs until the effective one is found.
Question 26 Renee buys a bag of cookies that contains 5 chocolate chip cookies, 7 peanut butter cookies, 5 sugar cookies, and 5 oatmeal cookies. What is the probability that Renee reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie? Round your answer to four decimal places.

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