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The average ACT score in Minnesota in 1986 was 19.4. Assuming a standard deviation of 2.0, find (approximate) the probability that the mean of a random sample of 25 scores from Minnesota exceeds 20.0.
Statistics and Probability, Statistics
Suppose the chance of selecting a female adult at random in the population is exactly π= 0.5 (ie: 50%). What is the probability that I choose 10 adults at random and I get the number of females in the sample to be betwee ...
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less t ...
We choose a number from the set {1, 2, ..., 100} uniformly at random and denote this number by X . For each of the following choices, determine whether the events in question are independent or not. A = {X is even}, B = ...
The ACME Insurance Company has two types of customers, careful and reckless. A careful customer has an accident during the year with probability 0.01. A reckless customer has an accident during the year with probability ...
In 2015, Caterpillar Inc. had about 653 million shares outstanding. Their book value was $32.3 per share, and the market price was $74.00 per share. The company's balance sheet shows that the company had $20.20 billion o ...
Let X be the random variable that represents the life in hours of a certain electronic device. The probability density function of X X is f(x)=360x 3 f(x)=360x3 , 10≤x≤15 10≤x≤15. Find the expected life of this device.
The time required by students to complete an organic chemistry examination is normally-distributed with a mean of µ = 200 minutes and a standard deviation of σ = 20 minutes. Since this particular class is a large lecture ...
(i) Define the parameter of interest in the context of the problem (ii) State the alternative hypothesis. (iii) State the distribution used to calculate the P-value (not the formula, but the distribution, eg. t distribut ...
You want to you want to estimate the mean weight of quarters in circulation. A sample of 30 quarters has a mean weight of 5.649 grams in a standard deviation of 0.066 gram. Use a single value to estimate the mean weight ...
You buy a mutual fund for $1,000. It annually distributes $60 for seven years, after which you sell the shares for $775. What is the annualized return on your investment? Use Appendix B and Appendix D to answer the quest ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
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