Chapter 5: Problem 50
What are the parameters of the binomial probability distribution, and what do they mean?
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Chapter 5: Problem 50
What are the parameters of the binomial probability distribution, and what do they mean?
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An investor will randomly select 6 stocks from 20 for an investment. How many total combinations are possible? If the order in which stocks are selected is important, how many permutations will there be?
Let \(x\) be the number of magazines a person reads every week. Based on a sample survey of adults, the following probability distribution table was prepared. $$ \begin{array}{l|cccccc} \hline x & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline P(x) & .36 & .24 & .18 & .10 & .07 & .05 \\ \hline \end{array} $$ Find the mean and standard deviation of \(x\).
Explain the hypergeometric probability distribution. Under what conditions is this probability distribution applied to find the probability of a discrete random variable \(x ?\) Give one example of the application of the hypergeometric probability distribution.
A review of emergency room records at rural Millard Fellmore Memorial Hospital was performed to determine the probability distribution of the number of patients entering the emergency room during a 1-hour period. The following table lists the distribution. $$ \begin{array}{l|ccccccc} \hline \text { Patients per hour } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { Probability } & .2725 & .3543 & .2303 & .0998 & .0324 & .0084 & .0023 \\ \hline \end{array} $$ a. Graph the probability distribution. b. Determine the probability that the number of patients entering the emergency room during a randomly selected 1 -hour period is in 2 or more ii. exactly 5 iii. fewer than 3 iv. at most 1
A baker who makes fresh cheesecakes daily sells an average of five such cakes per day. How many cheesecakes should he make each day so that the probability of running out and losing one or more sales is less than . 10 ? Assume that the number of cheesecakes sold each day follows a Poisson probability distribution. You may use the Poisson probabilities table from Appendix \(\mathrm{C}\)
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