As we know nothing about n, we cannot draw conclusions about n+1.
This is a multiplication problem.You need to regroup when you multiply.When you multiply you should know your place value so the problem can be lined up.If you were to do this the answer would be 168
Answer:
The expected value of the number of spades are = 4.25
Step-by-step explanation:
As per the question,
W know that in a standard deck of 52 playing card, there are 4 suits, and each suit have 13 playing card.
Since, we know that

Therefore,
Probability of any random card being a spade is


So the expected number of spades we draw are


Hence, the expected value of the number of spades are = 4.25
Answer:
a)
The degrees of freedom are given by:
The critical value for this case is
since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4
b)
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
represent the significance level
t would represent the statistic
represent the p value
Part a
We want to test if the true mean is higher than 17.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And replacing we got:
The degrees of freedom are given by:
The critical value for this case is
since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4
Part b
The p value would be given by:
Recall your d = rt, distance = rate * time
the rate going south is 13, the rate going east is 10
it took a total amount of 6hours and 72miles for the whole travel
so.. if going say hmmm South, it covered a distance of "d", then going East it covered a distance of the slack from 72 and "d", it covered "72 - d" miles
so, if going South it took "t" hours, then going East it took the slack from 6 and "t", or "6 - t" hours
thus

solve for "t"
so, it travelled East for 6-t hours