We use the z statistic:
z = (x – u) / s
But first let us calculate the standard deviation s,
sample x and mean u.
s = sqrt (n p q)
s = sqrt (112 * 0.77 * (1 – 0.77))
s = 4.45
x = 0.81 * 112 = 90.72
u = 0.77 * 112 = 86.24
So the z score is:
z = (90.72 – 86.24) / 4.45
z = 1.00
From the standard tables, the P value at z = 1.00 using
right tailed test is:
<span>P = 0.1587 = 15.87%</span>
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
___
If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
Simplify 3 to 12
Divide 3
1 to 4
So the answer is 1 car accident in 4 month
~JZ
Hope it helps you out there
Answer:
17
Step-by-step explanation:
As 2 phones are defective from a group of 98 that were checked, you can determine a percentage:
2/98= 2%
This indicates that 2% of the phones are likely to be defective and because of that you can find 2% of 850:
850*2%= 17
According to this, 17 phones are likely to be defective.
Answer:
For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:
Null Hypothesis: 
Alternative hypothesis: 
And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if the mean number of filled overnight beds is over 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:
Null Hypothesis: 
Alternative hypothesis: 
And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over 523 is not statistically supported