Probability Question
Topic 18 Exp 3 The following table contains information on the 2002 resident population of the U.S., by age. (Source: The New York Times Almanac 2004, page 277.)
Probability
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Probability in a Multiple Choice Quiz
Cass is taking a 5 question multiple-choice quiz in which each question has 3 choices. He guesses o all of the questions. (a) What is the probability that Cass answers all of the questions correctly? (B) What the probability that he answers 3 questions correctly?
Probability questions
7. Suppose that you are dealt a hand of 9 cards from a standard deck of 52 playing cards. a. What is the probability that you are dealt exactly 3 kings? b. What is the probability that you are dealt 9 cards of the same suit? c. What is the probability that you are not dealt at least 2 cards of each suit? 11.
Determining Probability: Diagnostic Test for Cancer
Suppose that there is a diagnostic test for a particular type of cancer. Given that the person has this type of cancer, the probability that the test would be positive is 95%. However, if the person does not have this type of cancer, then the probability that the rest will be positive is 1%. Suppose that 2% of the population hav
Standard Deviation Probability
The probability that a certain basketball team will win a given game is .62. If the team plays 50 games, find the expected number of wins and the standard deviation. (Round to the nearest hundredth if necessary.)
Decision Analysis
1. The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative S1 S2 S3 D1 250 100 25 D2 100 100 75 A. Construc
Cumulative Probability- Arrival Lag
Consider the table given below. Cumulative Probability Arrival Lag (in minutes) Probability 0.2 5 0.2 0.5 10 0.3 1.0 15 0.5 a. If rand() = 0.31752, what i
theoretical probability
1. The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 60 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects? 2. A bag contains 16 yellow marbles, 6 green marbles, and 7 red marbles. What is the chance of drawing a yellow ma
binomial distribution with parameters
Suppose only 70% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that: a) between 320 and 370 (inclusive) of the drivers in the sample regulary wear a seat belt b) Fewer than 325 of those in the sample reqularly wear a seat belt? Fewer than 3
Probability: Hauling Concrete Example Question
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 60 minutes, what is the probability that the cycle time exceeds 55 minutes if it is known that the cycle time exceeds 45 minutes?
Statistics
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9, what is the probability that in any given year there will be fewer than 10 percent erroneous returns
Probability and sequence
5. If Kate starts on the paving stone outside her house and hops onto every second stone, she will get to the second to last stone before the house of her friend Sam. (see diagram) If Kate now turns round on this stone and hops onto every third stone, she will get back to the third stone. (see diagram) Kate turns
Objective function and probability,
1. A company has 3 goals, listed in order of importance. 1. Achieve a total profit of at least $240 million. 2. Maintain the current employment level of 3,000 employees. 3. Invest no more than $70 million in capital. What is the objective function for a goal program for this situation? A) P1d1-, P2d2-, P3d3+ B) P1d1-, P2
Determining Probability: House Burglary Example
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized? (a) Is this a binomial experiment? Explain how do you know. (b) Use the correct formula to find the probability that, out of 50 houses, exactly 4 of
Determining Probability: Employee Age Example
The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random will have an age greater than or equal to 30 and less than or equal to 39? 2 0 2 6 7 9 3 0 3 4 5 6 8 8 9 9 4 2 4 5 6 7 5 2 3 4 7 6 1 3
What is the probability of having 0 or 1 error per newspaper page?
It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error per page?
Probability distribution for demand
Loebuck Grocery orders milk from a dairy on a weekly basis. The manager of the store has developed the following probability distribution for demand per week (in cases):.........see attached
Determining Probability: Gambling Example
Please show me the proper formula and step to arrive to the answer to this question. I can't figure it out at all. A gamble is cutting a deck of cards for $1000. What is the probability that the card for the gambler will be the following? - a face card - a queen - a spade - a jack of spades - a quick response will be g
Expected Number of Days to Receive Order: Standard Deviation
A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane; an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order it is placed (referre
Probability, skew lines and intersecting lines
1. Refer to the figure to classify the statement as true or false. 2. What is the probability of a dart landing in the shaded region? 3. What is the probability of spinning an A on this spinner?
Decision Analysis and Probability Tree
Problems: 9-13, 15, 16, 18, 19, 20 Scenario 15-1 An investor is considering 4 investments, A, B, C and leaving his money in the bank. The payoff from each investment is a function of the economic climate over the next 2 years. The economy can expand or decline. The following payoff matrix has been developed for the decisio
Mean & Variance of a Probability Distribution
A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday. The probability distribution for customer arrivals can be represented by the following table: X (number of customers) p(x), probability of x: 0 0.1 1 0.15 2 0.18 3 0.2 4 0.2 5 0.1 6 0.07 Find the average and the standard deviation
Probability Problems
1. Of 23 college sophomores at Crocodile Community College, 12 preferred pepperoni pizza, 7 preferred supreme, and 4 preferred cheese. If we picked a college sophomore at Crocodile Community College at random, theoretically what is the probability that he or she would prefer cheese? Give solution exactly in reduced fraction form
Mathematics
1. The theoretical probability of undesirable side effects resulting from taking Pyrene is 1 in 15. If 210 people take Pyrene to relieve congestion, theoretically how many will encounter undesirable side effects? 2. A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red mar
Determine the probability
1. 30 basketballs (15 Spalding, 10 Wilson, and 5 other brand name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is a Wilson or a Spalding. 2. A pet shop is selling a calico cat, a Siamese cat, a Persian cat, an
Binomial Probability for an Automobile Manufacturer
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to check the transmission. The Friendly Auto Mart sold seven of these trucks and has t
Factorial Expressions and Probability
(1) You can answer any 15 questions from the 18 questions on an exam. In how many different ways can you choose the questions, assuming that the order in which you choose the questions is irrelevant? (2) 7!11!/4!13! Find the Value (3) Suppose that the time required to complete a 1040R tax form is normally distributed w
Probability
1. Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that a. You will draw a dime? b. You will draw a nickel? c. You will draw a quarter? 2. You are rolling a pair of dice, one red and one green. What is the probability of
Calculating probability based on binomial distribution.
Probability: It is estimated that 26% of all California adults are college graduates and that 30% of California adults are regular internet users. It is also estimated that 21% of California adults are both college graduates and regular internet users. A) What is the probability that a California adult is an internet user, g
Find the probability ..
A drug tester claims that a drug cures a rare skin disease 78% of the time. The claim is checked by testing the drug on 100 patients. If at least 74 patients are cured, the claim will be accepted. Find the probability that the claim will be rejected assuming that the manufacture's claim is true. Use the normal distribution to