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Suppose there are only three candidates and she follows the following strategy. She rejects the first candidate and then selects the next candidate that is better than those already interviewed?
Consider a set of test grades with a mean of 80 and a standard deviation of 3. Use Chebyshev's Theorem to find the percent of data that would fall between 74 and 86.
Five people get on an elevator that stops at five floors. Assuming that each has an equal probability of going to any one floor, find the probability that they all get off at different floors.
Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples are as follows:
A player of a video game is confronted with a series of 3 opponents and a(n) 77% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the pla
Historical data indicates that only 20% of cable customers are willing to switch companies. If a binomial process is assumed, then in a sample of 20 cable customers, what is the probability that no
Carrying costs are $5 per cone per year. Assume that the ice cream shop is open 250 days a year. What is the optimal EOQ for ice cream cones?
Find the area under the curve for the following z-scores: z= -0.31 and z= 1.53
Suppose that you are in a class of 29 students and it is assumed that approximately 13% of the population is left-handed. (Give your answers correct to three decimal places.) Compute the probability
Consider the probability function. (Give your answers correct to two decimal places.) R(x) = 0.2, for x = 0, 1, 2, 3, 4 (a) Find the mean. (b) Find the standard deviation.
Patients who have artificial hip-replacement surgery experience pain the first day after surgery. Typically, the pain is measured on a subjective scale using values of 1 to 5. Let x represent the ra
A car agency sells 50% of its inventory of a certain foreign car equipped with side airbags. Find a formula for the probability distribution of the number of cars with side airbag among the next 4
Note that the Year is the independent variable and Sales is the dependent variable. Develop a two tail test for the theory that the slope of the regression line is different from zero.
A physiological experiment was conducted to study the effect of various factors on pulse rate. For one factor, there were 92 subjects, the mean pulse rate of which was 72.87, and the sample standard
What is the probability that exactly two of the next three randomly selected young adults who misbehaved in early grades and have tried smoking are daily smokers?
A birth is selected at random. Define events B = {the baby is a boy} and F = {the mother had the flu during her pregnancy}. The events B and F are Disjoint but not independent.
A card is drawn at random from a standard 52-card deck. The conditional probability that the card is a 2 given that a 2 or a 3 was drawn is
Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers). What is the probability that both states pick the number 13?
A standard 52-card deck is shuffled and 5 cards are picked, without replacement, from the top of the deck. The probability that the first four cards are a red suit (Heart or Diamond) and the last ca
A medical treatment has a success rate of 0.8. Two patients will be treated with this treatment. Assuming the results are independent for the two patients, what is the probability that neither one o
Elizabeth has just put 4 new spark plugs in her car. For each spark plug, the probability that it will fail in the next 50,000 miles is 1/100 (which is 0.01), and is independent from one spark plug
A survey was given to sophomores at a university and one of the questions asked was "What is the probability that you will leave school before you graduate?" The answer to this question for an indiv
A bus passes by a certain street corner every morning around 9:00 a.m. Let X be the difference (in minutes) between the time instant at which the bus passes and 9:00 a.m. We suppose that X has appro
In the formula for sample variance based on a sample of size n, why is the sum of squares divided by n-1?
A sample of size 30 from a normal population with known variance is taken. Which one of the following is most correct regarding the distribution of the standardised sample mean?