Tameka bought three dozen donuts to take into work. There are 12 cake donuts, 6 glazed donuts, 8 chocolate donuts, and 10 bluebe
1 answer:
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Let's analyse the function
The amplitude is A, so we want A=1.5
Now, we start at x=0, and we have
After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be
So, we have
so, the function is
Answer:
1. c. Poisson
2. 0.9592 = 95.92% probability that in any one minute at least one purchase is made.
3. 0.0017 = 0.17% probability that no one makes a purchase in the next 2 minutes.
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question, and thus the answer to question 1 is given by option c.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean of 3.2 minutes:
This means that , in which n is the number of minutes.
2. What is the probability that in any one minute at least one purchase is made?
, so
.
This probability is:
In which
So
0.9592 = 95.92% probability that in any one minute at least one purchase is made.
3. What is the probability that no one makes a purchase in the next 2 minutes?
2 minutes, so
This probability is P(X = 0). So
0.0017 = 0.17% probability that no one makes a purchase in the next 2 minutes.
Answer:
The expected number of vehicles owned to two decimal places is: 1.85.
Step-by-step explanation:
The table to the question is attached.
∑
Where:
E(X) = expected number of vehicles owned
∑ = Summation
x = number of vehicle owned
p(x) = probability of the vehicle owned
The expected number of vehicles owned is 1.85.
