A southern state has an unemployment rate of 6%. The state conducts monthly surveys in order to track the unemployment rate. In a recent month, a random sample of 700 people showed that 35 were unemployed. a) If the true unemployment rate is 6%, describe the sampling distribution of p^. b) Find P(p^ >= 0.05) c) Assum
The average cost of XYZ brand running shoes is $83 per pair, with the standard deviation of $8.00. If 9 pairs of running shoes are selected, find the probability that the mean cost of a pair of shoes will be less than $80. Assume the variable is normally distributed.
Determine if the normal approximation to the binomial distribution could be used for the following problems: A.) A study found that 1% of Social Security recipients are too young to vote. 800 Social Security recipients are randomly selected. B.) A study found that 30% of the people in a community use the library in one yea
A recent Survey indicated that 18% of America adults were in favor of cloning human embryos. What is the probability that in a group of 30 adult Americans, three or four will be in favor of cloning human embryos? Show your work.
Do you try to pad your insurance claim to cover your deductible? About 40% of all U.S. adults will try to pad their insurance claims. Suppose that you are the director of an insurance adjustment office. Your office has just received 128 insurance claims to be processed in the next few days. What is the probability that a. ha
The average hourly wage of workers in a fast food restaurant is $5.85 with a standard deviation of $0.35. Assume that the distribution is normal. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.25 an hour?
A die is rolled 12 times. Find the probability of rolling the following. (a) No more than 1 one
1.Find the probabilities for the standard normal random variable z: P(-1.55<z<.44) 2. Find zo such that P(-zo<z<zo)=.99 3. A normal random variable x has mean =1.20 and standard deviation =.15. Find the probability of the x value. 1.35<x<1.50 b. x>1.38 4. Assume the heights of men have a mean of 69 inches with a stan
A research company stated that 20% of missed school days are due to asthma. If a group of 400 school children are selected at random, what is the probability that fewer than 70 will miss school because of asthma? a) 0.1056 b) 0.0947 c) 0.1170 d) 0.4049 e) None of the above
A research company stated that 20% of missed school days are due to asthma. If a group of 400 school children are selected at random, what is the probability that fewer than 70 will miss school because of asthma? a) 0.1056 b) 0.0947 c) 0.1170 d) 0.4049 e) None of the above
1. A geological study indicates that wells drilled in a certain area should strike water with probability 0.2. Find the probability that: a) first strike of water comes in the 3rd well drilled b) 3 strikes of water in 5 drills 2. A large elevator has a max weight limit of 10,000 lbs. Suppose a load has 45 boxes. This has a
12) If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs, five are defective 13) Three cards are drawn from a deck of 52 cards without replacement. Find the probability that a) two are jacks and one is king b) all cards are of one unit
7) On a very hot summer day, 5% of the production employees at Midland States Steelare absent from work. The production employees are to be selected at random for a special in-depth study on absenteeism.What is the probability of selecting 10 production employee at random on a hot summer day and finding that none of them are abs
Finding the number of different combinations.
I have 9 chalkboards to be distributed amongst 4 classrooms. If each class must get at least 1 chalkboard, how many possible divisions can I have?
1) If you buy a box of Wisk, the probability of getting a scoop is 97%. If you buy 9 boxes over the next several months, what is the probability of missing two scoops? 2) The average length of a cellular phone call in the U.S. is 3.4 minutes. If the standard deviation of those calls is .07 minutes (population standard deviati
A factory employs several thousand workers, of whom 30% are Hispanic. If the 15 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n=15 and p=0.3 a)What is the probability that exactly 3 members of the committee are
If the parents have 5 children, the number who have type O blood is a random variable X that has the binomial distribution with n=5 and p=0.25 a) What are the possible values of X? b) Find the probability of each value of X. Draw a histogram to display this distribution. (Because probabilities are long-run proportions, a hi
Details: An electric power trading company has an option to buy 1,000,000 terawatts of electricity from a producer for $10 per terawatt. Other electric power trading companies have received this option and the company knows a decision must be made quickly. The company estimates it can sell the electricity for $14 per terawatt if
16. If a coin is tossed three times, the likelihood of obtaining three heads in a row is a. zero b. 0.500 c. 0.875 d. 0.125 e. None of the above answers is correct. 17. If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) = a. 0.05 b. 0.0325 c. 0.65 The following rep
Dollar Department Stores has received an offer from Harris Diamonds to purchase Dollar's store on Grove Street for $120,000. Dollar has determined probability estimates of the store's future profitability, based on economic outcomes, as: P($80,000) = .2, P($100,000) = .3, P($120,000) = .1, and P($140,000) = .4.
As the owner of a rent-a-car agency you have determined the following statistics: Potential Rentals Daily Probability Rental Duration Probability 0 .10 1 day .50 1 .15 2 days .30 2 .20 3 days .15 3 .30 4 days .05 4 .25 The gross profit is $40 per car per day rented. When there is demand for a c
Find the probability and expected value.
1) A $25,000 investment in a tract of land may be worth $10,000, $25,000, or $45,000 after one year, the probabilities of these values being 0.25, 0.45, and 0.3, respectively. a) What is the expected value of the investment in one year? b) If your expected return on the investment is the expected present value of the investm
1 The Kwik Klean Car Wash loses $30 on rainy days and gains $120 on days when it does not rain. If the probability of rain is 0.15, what is the expected value of net profit? 2. The Newman Construction Company bids on a job to construct a building. If the bid is won, there is a 0.7 probability of making a $175,000 profit and t
1. Compute the arithmetic mean for the following data: 8, 2.2, 25, 7, -9, 10, 2, and 5.9. 2. An Embry-Riddle senior performed the same experiment on three groups of subjects (with permission!) and obtained mean scores of 84, 69 and 76. The groups consisted of 13, 31, and 27 subjects respectively. What is the overall mea
It is estimated that the probability that the general population will live past their 85th birthday is 5.4%. Use the standard normal distribution to approximate this Binomial problem and answer the following questions. Out of a sample of 600, what is the probability that fewer than 30 will live beyond their 85th birthday?
A tire company made a sampling distribution on one of its brands of tires and determined that the tire had a mean life of 56,000 miles with a standard deviation of 18,100 miles. a. What is the probability that the life of a single tire will be less than 50,000 miles? b. What is the probability that the mean life of a sampl
2. The probability that a person is immune to a certain disease is 0.40. a) What is the probability that 4 people will have the disease in a sample of 12 people b) Find the mean number of people who have immunity in a sample size of 12. c) Find the standard deviation for the same sample 3. If the capacities of the cran
An urn contains 8 red chips, 10 green chips and 2 white chips. A chip is drawn and replaced and then a second chip is drawn. What is the probability of: A) a white chip on the first draw B) a white chip on the first draw and a red on the second C) two green chips being drawn D) a red chip on the second draw given a