For the random variables below, indicate whether you would expect the distributi
ID: 3358333 • Letter: F
Question
For the random variables below, indicate whether you would expect the distribution to be best described as geometric, binomial, Poisson, exponential, uniform, or normal. We do not have data, so you will not to use the computer for these questions. For each item, give a brief explanation of your answer. A one-sentence explanation should be sufficient. 14. The number of days that we have to wait before the first Daily 4 number drawn in the California State Lottery is a 6. (Each day, this number is equally likely to be any of the 10 digits.) 15. The amount of time before the next plane crash in the United States 16. The number of typographical errors on a page in the rough draft of a report 17. The number of times that a rifle shooter hits a target if he shoots 10 times 18. The number of phone calls that a salesperson gets in the next hour. 19. The number of minutes that the salesperson is waiting before her next phone call. 20. The time of day that the next major earthquake occurs in Southern California.Explanation / Answer
Q.14 Distribution : Geometric
Explanation : Question talking about first success in X attempts where X is the random variable.
Q.15 Distribution : Exponential
Explanation: There may be an average or mean number of time or frequency of plane crash in certain time. Inverse of it would be the (the rate of plane crash)
Q.16 Distribution : Normal/ Binomial
Explanation: There would be a standard numbers of errors in a draft page so number of typographical error can be calculated from that. A binomial distribution can also be justified as there may be a specific proportion of errors so on a rough draft number of error can be identified.
Q17 Distribution : Binomial
Explanation : There are number of attempts are given, which are 10. so perfectly binomial. There may be a success probability of hitting target.
Q.18 Distribution : Poisson
Explanation : Here we are talking about phone calls. There must be a rate of phone calls like per hour .
Q.19 Distribution : Exponential
Explanation: Time distribution are exponentially distributed.
Q.20 Distribution : Uniform
Explanation : Earthquake can come at any time so uniformly distributed over day.
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