John divided his souvenir hat pins into two piles. The two piles had an equal number of pins. He gave his brother one-half of on
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Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
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.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.
Step-by-step explanation:
Since we have given that
Mean rate defects per unit = 0.3
Since we will use "Poisson distribution":
But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.
So,
so, it becomes,
Hence, probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.
Answer:
The number of small mowers are 19 and the large mowers are 11.
Step-by-step explanation:
Given:
A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.
Now, to find the number of each type of mower sold.
Let the number of small mower be
And the number of large mower be
So, total number of mowers are:
Now, the total sales of mowers are:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 7499.7 we get:</em>
<em>Dividing both sides by 80 we get:</em>
The number of large mower = 11.
Now, to get the number of small mowers we substitute the value of in equation ( 1 ):
The number of small mower = 19.
Therefore, the number of small mowers are 19 and the large mowers are 11.