A "punishment" game consists of two parts described as follows:• Step 1: Flip three fair coins, and let X e {0,1,2,3} be the number of head(s).• Step 2: Eat X piece(s) of sushi. Each piece has (independently) 0.4 probability tocontain (a lot of) wasabi.(a) Let Ek, k e {0,1, 2,3} be the probability of one player having k spicy sushi. FindP(Ek).(b) Suppose a player eats one piece of spicy sushi, what is the probability that X = 2.%3D

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Answered: A “punishment" game consists of two…

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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QL: If Ali drive 4 sessions, he have a 60% chance of winning. Assuming that the sessions are independent of each other, what is the probability that: 1. Ali will win 0, 1,2.3 orall 4 sessions, 2. Ali will win at least one session. 3. Al will win a majority of the sessions.
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
On cloudy days, Lucy has ramen for lunch with probability 0.4.On non-cloudy days, she has ramen with probability 0.2.There's a probability of 0.3 that it'll be cloudy tomorrow.What's the probability that she eats ramen tomorrow?
Given events G and H: P(G) = 0.42; P(H) = 0.29; P(H AND G) = 0.11. A) Find P(H OR G). B)Find the probability of the complement of event (H AND G). C) Find the probability of the complement of event (H OR G)
Beck is allergic to peanuts. At a large dinner party one evening, he notices that the cheesecake options on the dessert table contain the flavors: 10 slices of chocolate,12 slices of caramel, 12 slices of peanut butter chocolate, and 8 slices of strawberry. The desserts are served to the guests at random. what is the probability that becks cheesecake contains peanuts? what is the probability that becks dessert does not contain chocolate?
COIN TOSS A. Determine the probability of your outcomes from the following: i. Tossing 2 coins (All heads) ii. Tossing 3 coins (2 heads and 1 tail) iii. Tossing 4 coins (2 tails and 2 heads) B. Prepare 10pcs of one-peso coin individually. Find a partner for the coin tossing activity. Each partner must take turns in tossing all ten coins 5 times. For each turn, shake 10 coins and drop them about 3 feet above the surface. Each will count the number of coins landing heads up and the number of coins landing tails up. They each will record their (a) own count of coin tosses, (b) the partner’s total count of coin tosses.
10. Final: A local grocery store receives strawberries from suppliers in city A and city B. Currently there are 18 strawberry containers or shelf and 11 of them are from city A. A shopper selects three containers to purchase. What is the probability that two containers are fro the city A supplier? O a. .2831 O b. Not available O c..1851 O d. .4718 O e. .5292 口i
2b) Find zo for the following probabilities: i) P(Z > Zo) - 0.25 O-0.67 O o 0.67 O 0.5 Jimmy and Rosalynn Carter celebrate 76 years of marm to
A bag contains 10 red, 12 white and 8 blue balls. Three balls are drawn at random from this bag. Find the probability of selecting (a) at most one blue ball A. None of these B. 0.83 C. 0.58 D. 0.25 (b)No white balls. A. None of these B.0.4 C. 0.2 D. 0.65

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