keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
2 answers:
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Answer:
a) The probability that all five are brand A is 0.0288
b) The probability that exactly two bottles are brand A is 0.0288
c) The probability that none of the bottles is brand A is 0.0048
Step-by-step explanation:
We have 9 bottles of brand A and 7 bottles of brand B.
The total of bottles is 16.
a) The probability that all five bottles are brand A is given by:
b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:
c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles:
Using the Poisson distribution, the probabilities are given as follows:
A. 0.0888 = 8.88%.
B. 0.1354 = 13.54%.
C. 0.8646 = 86.46%.
<h3>What is the Poisson distribution?</h3>In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Item a:
10 hours, 2 calls per hour, hence the mean is given by:
.
The probability is P(X = 20), hence:
Item b:
1 hour, hence the mean is given by:
The probability is P(X = 0), hence:
Item c:
The probability is:
More can be learned about the Poisson distribution at brainly.com/question/13971530
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