Suppose that one third of the cards in a scratch-and-win promotion gives a prize.a)Create a probability distribution to show the probabilities of winning within thefirst 4 tries.P(x)b) What is the probability that your first win will be on the 3rd try?c) What is the probability of winning a prize in fewer than 3 tries?d) What is the expected number of cards you would have to try before winning a prize?

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: Suppose that one third of the cards in…

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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Assume it was determined from a random sample of customers that the probability of buying cake is 40%; the probability of buying ice cream is 62%; and the probability of buying cake or ice cream is 86%. What is the probability of buying chocolate ice cream and frozen yogurt? (Round your answer to 2 decimals)
You are dealt a hand of 7 cards from a standard deck of 52 cards. Find the probability of being dealt four clubs and three cards with one card of each other remaining suit. The probability is (Round to six decimal places as needed.)
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the probability (to three decimal places) that the salesperson will make four or more sales if six sales calls are made on a given day?
In a game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning blackjack hand is won by getting 1 of the 4 aces, and 1 of 16 other cards worth ten points The two cards can be in any order. Find the probability of being dealt a blackjack hand. What approximate percentage of hands are winning blackjack hands?
With two dice, the probability of rolling a 4 is higher than the probability of rolling an 10 with one roll. O True False
In a chance game, a turn consists of a player rolling a fair six-sided single die 9 times and cournting how many of the dice show a number which is divisible by 5. Let X be the number of dice in a turn that satisty this condition. What is the probability that X is equal to 2? Write your answer below by praviding 3 digits after the decimal point.
The Smith family was one of the first to come to the U.S. They had 4 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had: at least 2 girls? at most 3 girls?
B. Two air force helicopters have a mission to strike and shoot a target in enemy land, the probability that the first pilot hit the target is (1/2), the probability that the second pilot hit the target is (1/4). What the probability that a. The first and second pilot shoot the target? b. One of them shoot the target?
It has been observed that the average number of accidents that occur on an assembly line is 3 per week. Find the probability that: i. A particular week will be accident free. ii. At least three (3) accidents will occur in a week. iii. Exactly five (5) accidents will occur in two week
A novice marksman is shooting at a target 1000 feet away. The probability of his hitting the target is 0.3. a. What is the probability that he hits the target on the 25th shot? b What is the probability that he will have to shoot more than 200 times to hit the target? c. What is the probability that the number of shots he has to take to hit the target is greater than or equal to 60? d. What is the probability it will take him more than 1020 shots to hit it? e. What is the probability that the number of shots he will have to make to hit the target is 20 or fewer? f. What is the expected number of shots it will take him to hit the target? g. What is the variance of the number of shots needed to hit the target?
The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.

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