35%
---- Than cross multiply with ---- = 24500
100% 100 --------
100
Which ends up to be 245.
Answer:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
Answer: 0.99822
Step-by-step explanation:
Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.
So converting 14 into minutes will give
=0.233
Let X=inter-arrival time between two customers
and here
= 0.233
Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)
Now the Poisson distribution has PDF =
So P(X = 0) =
= 0.79215
P(X= 1) =
= 0.18457
P(X=2) =
= 0.02150
Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822
The z-score is the number of a data value that represents how many standard deviation is it from the mean. It is calculated from the ratio of the difference of a data value and the population mean and the standard deviation of the data set. Having a z-score of zero would mean that the value is the same as the mean. A z-score that is greater than 1 would mean that the value is x standard deviation greater than the mean. If for a certain data, a z-score of positive 2.5 is calculated, then it means that the data is 2.5 standard deviations away and above from the mean of the whole set. In a normal
Answer:
The mean is 95 and the standard deviation is 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 