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The cards are sold in boxes of 20. What is the probability that two or more cards in the box do not fit into the 6 inch envelope?
Suppose 10 players are selected at random out of eighteen possible people, where 15 are women and 3 are men, with each player assigned to one of the 10 distinct positions. Each outcome is equally li
A photographer works part-time in a shopping center, two hours per day, four days per week. On the average, six customers arrive each hour, and the arrivals appear to occur independently of one anot
You think that the return could be modeled as a normal random variable with mean $2000 and standard deviation $1500. What is the probability that the investment will end up with a loss? What is the
After observing a long run of red on a roulette wheel, many gamblers believe that black is bound to occur. Such a belief often is called the gambler's fallacy because the roulette wheel has no memor
What is the probability of obtaining two tails in a row when flipping a coin?
Suppose a shipment of 50 cell phones has arrived from your supplier, The Samsing Manufacturer. As the engineer for your company you are concerned that there may be defective cell phones in the shipm
Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the ra
An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other fifteen
A certain number of dollars is placed in each of two envelopes. The amounts differ from one another, but you do not know what the values of the two amounts are.
You are ok with that and you are willing to assume a = 6 defective cell phones in the shipment. Your contract with Samsing is such that you can take a sample of 5 cell phones and examine each for be
Determine the optimal strategy for the situation by representing it as a game and finding the saddle point. State your final answer in the terms of the original question.
Suppose that in January 2040, you buy a 30-year zero-coupon U.S. Treasury bond with a maturity value of $100,000 and a yield of 4% annually. How much do you pay for the bond?
It is estimated that 0.5% of the callers to the Customer Service department of Dell Inc. will receive a busy signal. What is the probability that of today's 1,200 callers at least 5 received a busy
Consider the question: what is the probability of getting a 6-card poker hand that contains a card from all four suits (order doesn't matter):
ower+ , Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35.0 hours and a standard deviatio
Consider two probability spaces: In the first, the outcomes are all unordered subsets of size k out of a set of n distinct elements. In the second, the outcomes are all ordered subsets of size k out
For the most recent year available, the mean annual cost to attend a private university in the United States was $20,332. Assume the distribution of annual costs follows the normal probability distr
What is the probability that a particular arrival-time measurement will be accurate to within .01 us? Find the mean and variance of the measurement errors.
Sixty patients are enrolled in a small clinical trial to test the efficacy of a new drug against a placebo and the currently used drug. The patients are divided into 3 groups of 20 each. Each group
A bag contains 45 beans of three different varieties. Each variety is represented 15 times in the bag. You grab 9 beans out of the bag.
Post an analysis of how hypothesis testing and the use of confidence intervals are the same. Then, analyze how these are different. Finally, differentiate the interpretation of the p-value from the
Assume a binomial probability distribution with formula n=45 and =0.22 Compute the following:
Is this an experiment or an observational study? Explain. News reports claimed this study proved that swimming can prevent depression. Explain why this conclusion is not justified by the study. Incl
Perform a hypothesis test to see if there is no difference between the effects of plant foods. Perform a hypothesis test to see if there is no difference between the effects of the different grow-ligh