1. A new book is being released and a bookstore predicts that 70% of customers that walk through the door on the release day will purchase the book. If 30 customers walk through the door, answer the following: (MUST SHOW WORK)
A) What type of distribution function (name) is the model for this situation?
B) What is the expected number of requests for the new book (based on the 30 customers)?
C) What is the variance?
D) What is the probability that at most 20 people will want the book?
E) How many copies of the book should the bookstore have on hand, if the store wants the probability of not having enough books to satisfy the demand to be less than 5%?

2. The national population distribution of scores on a high school graduation equivalency test is normal with a mean of 75 and a standard deviation of 12 (on a scale of 1 to 100).
A) If a student is randomly selected, what is the probability this his score is less than 69?
B) If a sample of 16 students are taken from this distribution what is the probability that the mean of the sample will be less than 69?

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1) A building is purchased with a principal amount to pay down of $108000. The payments will be made in 20 EQUAL, end of year (not monthly!) installments. What are the equal installments if the annual interest rate is 10%?

The annual payments would represent an annuity that has a present value of $108,000, ...

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Statistics: Probability density function, central limit theorem. ... c) If n, is large, can you describe fully, the probability density function of Xbar? ...

... So, the density function is. (b) P(A)=1-F(1)=. ...Probability, Random Variables, Probablility Mass Functions and Independent Events are investigated. ...

... the probability distribution (or cumulative distribution function) by integrating f ... as well as how to use probability density functions and probability...

... We will use Binomial Probability distribution p= system functions properly = 0.98 q=1-p = system does not function properly= 0.02 We are looking for the ...

... b), if its probability density function is constant ... independent random variables, their probability density functions... are the marginal density functions of the ...

... 3. For each of the following functions (i) find the ... of the pdf f(x) and the distribution function F(x): ... The probability distribution function (pdf) looks like: ...

... if the beverage dispensing unit functions properly 0.07862 ... (Note probability values corresponding ... tables or calculated using excel worksheet function NORMSDIST. ...