Apple juice is sold in 2.5l cartons and 350ml boxes. a 2.5l carton sells for $4.15 and six 350ml boxes sell for $4.50. calculate
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Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
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. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that , in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that . So
The variance is also 14, which means that the standard deviation is
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Answer:
(a) The mean or expected value of <em>X </em>is 2.2.
(b) The standard deviation of <em>X</em> is 1.3.
Step-by-step explanation:
Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.
The probability distribution of <em>X</em> id provided.
The formula to compute the mean or expected value of <em>X </em>is:
The formula to compute the standard deviation of <em>X </em>is:
The formula of E (X²) is:
(a)
Compute the expected value of <em>X</em> as follows:
Thus, the mean or expected value of <em>X </em>is 2.2.
(b)
Compute the value of E (X²) as follows:
Compute the standard deviation of <em>X</em> as follows:
Thus, the standard deviation of <em>X</em> is 1.3.
Answer:
Step-by-step explanation:
<h3>METHOD 1:</h3>