5. Suppose an experiment consists of rolling a fair six sided die two times.(a) We say we have a success if the max of the three rolls is a 6. What is P(success)?(b) If we perform this experiment 5 times independently, what is the probability that there aremore than 3 successes?1(c) How many outcomes in the set the number of success is between 3 and 5 inclusive

Let's break them down one by one:(a) We say we have a success if the max of the three rolls is a 6.…

Answered: 5. Suppose an experiment consists of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. What is the probability of getting either a three or a four on at least one the two dice?
Dree rolls a strike in 6 out of the 10 frames of bowling . What is the experimental probability that dree will roll a strike in the first frame of the next game explain why a number cube would not be a way to simulate this situation .
11. At a particular lake 4% of the fish have a disease which causes food poisoning. You go to the lake one day and catch 6 fish. Assume each fish in the lake has an equal chance of being caught. You eat all the fish you catch. What is the probability you get food poisoning? (a) 0.204 (b) 0.217 (c) 0.229 (d) 0.242
7.) 1.You play a game with your friend where your probability of winning is 5%. If you play the game 50 times, What is the probability that you lose every game? What is the probability that you win the game at least once?
A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ieiy. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.
3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distribution
3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.
Consider the experiment of tossing a coin. If the coin shows head, toss it again but if it shows tail, then throw a dice. Find the probability of the dice shows a number greater than 4 (ii) there is at least one tail
21. A company in New Jersey is hiring 8 people for a position. Of the applicants, 10 are from New Jersey, 8 are from New York, and 7 are from Pennsylvania. What is the probability that of the 8 people hired, exactly 2 are from New Jersey, and what is the probability at least two are from New Jersey? Round off to 3 decimal places. _________ and ________
4. In a tennis match, with the score at deuce, the game is won by the first player who gets a clear lead of two points. If the probability that given player wins a particular point is 0, and all points are played independently, what is the probability that player eventually wins the game?
A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of getting (a) an even number? (b) a number greater than 9? (c) an even number greater than 9? (d) an even number or a number greater than 9?
Two fair dice are rolled and the sum of their up faces are noted. What is the probability that the sum is a multiple of 3 (I.e. 3,6,9, or 12) and less than 8?

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