Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Upper P (Upper B vertical line Upper A)
means

It means that probability of getting event B given that Event A is occurred.
D. The probability of event B occurring, given that event A has already occurred. is also expressed as 
Hence, Option 'D' is correct.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
The degrees of freedom are given by:

The p value for this case taking in count the alternative hypothesis would be:
Step-by-step explanation:
Information given
represent the sample mean for the amount spent each shopper
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value f
Part a
We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by:

The p value for this case taking in count the alternative hypothesis would be:
4- distributive property
Reason
X(y+u)= xy+xu
Expansion is distributive property
Hope it helps
Answer:
0 and 1
Step-by-step explanation:
Answer: 59
Step-by-step explanation:
-7 (-6) + 17 (multiply -7 and -6)
= 42+17 (simplify)
=59