Let p be
the population proportion. <span>
We have p=0.60, n=200 and we are asked to find
P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60
and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is
considered to be large and hence the sampling distribution of sample
proportion-^p will follow the z standard normal distribution. Hence this
sampling distribution will have the mean of all sample proportions- U^p = p =
0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] =
√[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion
is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
<span>So, there is 0.281 or 28.1% probability that the
sample proportion is less than 0.58. </span>
Answer:
The probability of the tip to be more than 200 is 0.1.
Step-by-step explanation:
As per the given data
Amount of tip Number
0-20 200
20-50 100
50-100 75
100-200 75
200+ 50
____________________
Total= 500
So what is the probability of tip to be more than 200 is given as
From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:
So the probability of the tip to be more than 200 is 0.1.
Answer:
17.41 Dollars
Step-by-step explanation:
First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.
Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is
The line passes through the points (2,-1) and (1,-5). So, the equation of the line is
Using distributive property, we get
Subtract 1 from both sides.
Therefore, the correct option is B.
Answer:
Below.
Step-by-step explanation:
The center of the circle is at the origin and its radius is √16 = 4.
So set a compass to 4 and draw a circle with the compass point at the origin.
