You have a higher chance of getting a red or blue marble
Refer to the attached image.
As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.
The diameter AC = 0.35 meter.
We have to find the side of square.
Let the measure of side of a square be 'l' meter
In triangle ABC,
By Pythagoras theorem, we get
So, l = 0.25 meter
Therefore, the measure of side of the square is 0.25 meter.
Answer:
95% provides more information
Step-by-step explanation:
The confidence interval is obtained by using the relation :
Xbar ± Zcritical * σ/√n
(Xbar - (Zcritical * σ/√n)) = 5.22 - - - (1)
(Xbar + (Zcritical * σ/√n)) = 5.98 - - (2)
Adding (1) and (2)
2xbar = 5.22 + 5.98
2xbar = 11.2
xbar = 11.2 / 2 = 5.6
Margin of Error :
Xbar - lower C.I = Zcritical * σ/√n
Zcritical at 90% = 1.645
5.6 - 5.22 = 1.645 * (σ/√n)
0.38 = 1.645 * (σ/√n)
(σ/√n) = 0.38 / 1.645 = 0.231
Therefore, using the se parameters to construct at 95%
Zcritical at 95% = 1.96
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.96 * 0.231 = 0.45276
C.I = xbar ± margin of error
C. I = 5.6 ± 0.45276
C.I = (5.6 - 0.45276) ; (5.6 + 0.45276)
C. I = (5.147 ; 6.053)
Hence, 95% confidence interval provides more information as it is wider.
Answer:
F(10) = P(x = 10) = 0.3
F(5) = P(x = 5) = 0.4
F(1) = P(x = 1) = 0.3
Step-by-step explanation:
Given the following :
Probability estimates given:
Very successful = 0.3
Moderately successful = 0.4
Unsuccessful = 0.3
Yearly revenue (X) :
Very successful = $10 million
Moderately successful = $5 million
Unsuccessful = $1 million
The probability mass function of X:
f(x) = probability of each valie of x
When x = 10:
F(10) = P(x = 10) = 0.3
When x = 5:
F(5) = P(x = 5) = 0.4
When x = 1:
F(1) = P(x = 1) = 0.3
