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An average of 5 cars arrive per hour at a restaurant. Assume that the number of cars arriving per
hour follows Poisson distribution.
(i) What is the probability that exactly 5 cars will arrive in a given hour ?
(ii) What is the probability that at least 3 cars arrive in a given hour ?
(iii) What is the probability that at most 3 cars arrive in a given hour ?
Researchers at Pharm-X, a pharmaceutical company, are testing and comparing the effects of Drug A and Drug B on participants' allergies. The researchers are using a double-blind procedure to conduct their test.
A group of three students is to be randomly selected froma group of 1 freshman, 1 sophomore, 3 juniors and 3 seniors. Let Y1 and Y2 denote the number of juniors and seniors, a) What is the joint probability distribution for Y1 and Y2?
To demonstrate the effectiveness of the drug, a researcher selects a sample of n = 25 children diagnosed with the disorder and measure each child's attention span before and after taking the drug.
Genetics of peas. According to genetic theory, the blossom colour in the second generation of the certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom co..
Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities.
A TIE of at least 4.0, and if the TIE falls below this level the bank will call in the loan and the firm will go bankrupt. What is the maximum debt ratio the firm can use?
Dana and Cathy are playing tennis. The probability that Dana wins at least one out of two ames is 0.3. What is the probability that Dana wins at least one out of four?
The score for people in general on this questionnaire is 75, with a standard deviation of 12. Using the five steps of hypothesis testing and the 5% significance level (alpha).
Calculate the value based on this information. A new screening test for Lyme disease is developed for use in the general population. The sensitivity (ability to identify infected persons) is 60% and specificity (ability to identify non- infected p..
The standard deviation of the differences d for the paired sample data s d = ____________
Critically discuss the lower control limit for a proportion defective if the average daily production is 5000 units and the average fraction defective is .02?
4 clothing manufacturer tests SRS of 5 specimens of each fabric. Determine the probability that mean breaking strength of 5 untreated specimens exceeds 50 pounds?
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