Probability Questions

Math

Probability Solutions

The numbers 1 through 8 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are drawn at random. What is the probability that the drawn slips are "1", "2", "3", and "4", in that order? (A) 0.01429 (B) 0.34296 (C) 0.000595 (D) 0.01428

Math

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The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. Which of the following correctly labels the population of employees? (1) 000-250 (2) 001-250 (3) 0-250 (4)1-250

Math

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The table below cross classifies the price of 486 stocks in a particular stock exchange, with whether the earnings per share ratio was positive or not. Use the data in the table find the probability that the price of the stock is $50.00-$99.99 or the earnings per share ratio is positive. Earnings per Share Price of Stock Negative or 0 Positive $0-$49.99 25 123 $50.00-$99.99 18 180 $100.00 or higher 2 138 A). P(E)=180/100 b)P(E) =18/(123+180 +138) C). P(E)= 180/486 D). P(E)=(123+18+180 +138)/486 The probability that the price of the stock is $50.00-$99.99 or the earnings per share ratio is positive is

Math

Probability Solutions

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.15 and the probability that the flight will be delayed is 0.14. The probability that it will rain and the flight will be delayed is 0.12. What is the probability that it is not raining and the flight leaves on time? Round your answer to the nearest thousandth.

Math

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A fair die is rolled 6 times. What is the probability of having no 1 and no 2 among the rolls? Round your answer to three decimal places.

Math

Probability Solutions

A fair die is rolled 6 times. What is the probability that a 4 is obtained on at least one of the rolls? Round your answer to three decimal places.

Math

Probability Solutions

College Clubs. Fourteen freshmen, 10 sophomores, 14 juniors, and 9 seniors belong to a gamers club. If 1 of them is chosen at random to be the club's representative at a national competition, find the probability that an upperclassman is selected, Fraction: _________________Preview Decimal:_________________

Math

Probability Solutions

The strength of paper coming from a manufacturing plant is known to be 25 pounds per square inch with a standard deviation of 2.3. In a simple random sample of 40 pieces of paper, what is the probability that the mean strength is between 24.5 and 25.5 pounds per square inch?Express your answer in 4 decimal places

Math

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Al Gorithm is going on vacation. He is in his room trying to decide what outfits he wants to bring. He has a total of 50 shirts and 10 shorts. Once he picks a clothing item, he puts it in his luggage. If asked to calculate a probability of picking his next clothing item, would it be considered a dependent or independent event?

Math

Probability Solutions

A 5-sided die is loaded so that the number 5 comes up one-third of the times it is rolled. The die is rolled, and you win or lose money depending on the number rolled. The prizes are listed in the table below. To play this game you must pay $6. Roll Prize($)(x) P(x) x.P(x) 1 double 2 -5 3 -1 4 12 5 -10 a. Is this a fair game? Explain. b. What is the expected profit per game for the owner of the game?

Math

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Find the indicated conditional probability using the following two-way table: Grade Drive to school Take the bus Walk Sophomore 2 25 3 Junior 13 20 2 Senior 25 5 5 P( Walk to school | Senior) = [?] Round to the nearest hundredth.

Math

Probability Solutions

Fill in the blank with an appropriate word, phrase, or symbol(s). A controlled operation that yields a set of results is called a(n)_________.