Answer:
7/24
Step-by-step explanation:
14 ÷2 7
------------- = -------------
48 ÷2 24
Answer:
Events D and C are mutually exclusive.
Step-by-step explanation:
Two events D and C are mutually exclusive if
Find these probabilities. In a standard deck of 52 playing cards there are 13 diamond cards and 13 club cards.
The probabilty of chosing diamond is
The probabilty of chosing club is
The probabilty of chosing diamond or club is
Since
events D and C are mutually exclusive.
Answer:
See explanation
Step-by-step explanation:
<h3 /><h3>Step 1</h3>
Miguel wins $2 is if he pulls two chips with the number 1.
<u>Probability of winning is:
</u>
- 2/4 * 1/3 = 1/6 as there are 4 chips in total
<u>
Probability of loosing is:</u>
<h3 /><h3>Step 2</h3>
<u>Missing values we found in the step 1, can be populated in the table:</u>
- Xi === 2 === -1
- P(Xi) === 1/6 === 5/6
<u>Expected Value as per table data:</u>
Expected value is $1/2 loss each time he plays
<h3 /><h3>Step 3</h3>
To make the game fair, the expected value should be zero.
<u>Then as per the calculation above, let's replace 2, with x, and find its value.</u>
- 1/6x + 5/6*(-1) = 0
- 1/6x = 5/6
- x= 5
So the amount should be $5 to make the game fair.
Answer:
B is True
A, C. D are false
Step-by-step explanation:
Given :
Sample size, n = 120
Mean diameter, m = 10
Standard deviation, s = 0.24
Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96
The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.
The population here is N = 10000
To obtain
Confidence interval (C. I) :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.96 * 0.24/sqrt(120)
Confidence interval for the 10,000 ball bearing :
10 ± 1.96 * (0.24) / sqrt(120)
Hence. The confidence interval defined as :
10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.
