Answer:
The expected number of days until the prisoner reaches freedom is 2.8.
Step-by-step explanation:
Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.
Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.
Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.
What is the expected number of days until the prisoner reaches freedom?
We multiply the probability of each door being used by the time that it leads to the cell. So
E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8
The expected number of days until the prisoner reaches freedom is 2.8.
Answer:
Step-by-step explanation:
Given
Required
The complete dataset
The question has missing options (available online)
From the mean, we have:
This gives:
Cross multiply
<em>This means that the sum of all elements of the dataset is 720</em>
Next, we test the median
Since n = 10, then:
This implies that the median is the average of the 5th and 6th item.
So, we have:
Cross multiply
<em>This means that the 5th and 6th element add up to 148</em>
Also, we have:
<em>This means that 68 has to appear at least twice in the dataset</em>
<em>This implies that the difference between the highest and the least is 21.</em>
The dataset that satisfies the above condition is:
Answer:
Now we can claculate the p value with this formula:
If we use a signifiacn level of 5% we see that the p value is higher than 0.05 so then we have enough evidence to fail to reject the null hypothesis and we can't conclude that the true proportion is significantly higher than 0.3 at 5% of significance.
Step-by-step explanation:
Information to given
n=735 represent the random sample taken
X=203 represent the number of people who have their prostate regularly examined
estimated proportion of people who have their prostate regularly examined
is the value to verify
z would represent the statistic
represent the p value
System of hypothesis
We want to test if the true proportion is less than 0.3, the ystem of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
Now we can claculate the p value with this formula:
If we use a signifiacn level of 5% we see that the p value is higher than 0.05 so then we have enough evidence to fail to reject the null hypothesis and we can't conclude that the true proportion is significantly higher than 0.3 at 5% of significance.
Answer:
8u =32 this is the equation
1. 2.5/10. 12.5/50. 37.5/150. 50/175
No its not proportional
Because 50/175 is not equal to all the others