Write the last two digits of your 1000 student ID number with a decimal point in
ID: 3126346 • Letter: W
Question
Write the last two digits of your 1000 student ID number with a decimal point in between these two digits Assume that this number is the average number of squirrels you come across when you walk from the Life Science Building (LS) to the Engineering Research Building (ERB). Tomorrow you plan to walk from LS to ERB and you wonder what it the probability of observing at most three squirrels. Assume that squirrels are randomly distributed and that each squirrel is an independent observation. NOTE: if your last two digits happen to be both 0, use 4.2 as the average number of squirrels encountered. Write the last digit of your 1000 student ID number: T. You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites. Assume you obtain a random sample of 9 individuals from this population: Calculate the probability that7 (last digit of your ID number) carry intestinal parasites. Calculate the probability that at least two individuals carry intestinal parasites. NOTE: you can still do calculate "a" if your last digit is" 0."Explanation / Answer
2.
Using a cumulative poisson distribution table or technology, matching
u = the mean number of successes = 3.7
x = the maximum number of successes = 3
Then the cumulative probability is
P(at most 3 ) = 0.494153244 [ANSWER]
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3.
a)
Note that the probability of x successes out of n trials is
P(n, x) = nCx p^x (1 - p)^(n - x)
where
n = number of trials = 9
p = the probability of a success = 0.15
x = the number of successes = 7
Thus, the probability is
P ( 7 ) = 4.44405*10^-5 [ANSWER]
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b)
Note that P(at least x) = 1 - P(at most x - 1).
Using a cumulative binomial distribution table or technology, matching
n = number of trials = 9
p = the probability of a success = 0.15
x = our critical value of successes = 2
Then the cumulative probability of P(at most x - 1) from a table/technology is
P(at most 1 ) = 0.599479155
Thus, the probability of at least 2 successes is
P(at least 2 ) = 0.400520845 [ANSWER]
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