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Question: Suppose that the number of customers arriving each hour at the only checkout counter in a local pharmacy is approximately Poisson distributed with an expected arrival rate of 20 customers per hour.
a. Find the probability that exactly 10 customers arrive in a given hour.
b. Find the probability that at least five customers arrive in a given hour.
c. Find the probability that no more than 25 customers arrive in a given hour.
d. Find the probability that between 10 and 30 customers (inclusive) arrive in a given hour.
e. Find the largest integer k such that we can be at least 95% sure that the number of customers arriving in a given hour will be greater than k.
f. Recalling the relationship between the Poisson and exponential distributions, find the probability that the time between two successive customer arrivals is more then four minutes. Find the probability that it is less than two minutes.
Construct a scatter plot for the data. Do the data appear to have a positive linear correlation, a negative linear correlation, or no linear correlation? Explain.
in a 10k run 27.4 of the runners finished the race in 49 minutes 42 seconds or faster. suppose that this result holds
What are the explanatory and response variables for this study? Are they quantitative or categorical? If they are categorical, what are the categories?
Probability that the flavor will be carried by Appleton or Beacon is 15/16. Determine the probability a flavor is carried by both Appleton and Beacon.
Calculate the number of drivers required if the company offers. Day of delivery or an 8-hour time window,
How accurate are radon detectors of a type sold to homeowners? To answer this question, university researchers placed 12 detectors in a chamber that exposed them to 105 picocuries per liter (pCi/l) of radon. Graph the data, and comment on skewness..
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let x denote the amount of time in hours a book on two-hour reserve is actually checked out and suppose the cdf isfx 0
randomly pick up 5 cards from a deck of 52 cards. find the probability that the third card is red if the first card is
Calculate the Pearson correlation for these data also determine whether there is a significant correlation among attitudes for husbands also wives.
If the airline sells 160 tickets for a flight that has only 155 seats, what is probability that a seat will be available for every person holding a reservation and planning to fly?
The Johnson family uses a propane tank for cooking on their gas grill. During the summer they need to replace their tank on average every 30 days.
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