Answer:
a

b

Ca
Cb
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as

=> 
=> 
Generally the margin of error is mathematically represented as

=> 
=> 
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
=>
The sample size is n = 22
Given that the sample size is not sufficient enough i.e
we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally from the student t distribution table the critical value of
at a degree of freedom of 21 is
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Answer:
a. The probability of both balls are blue is
.
b. The probability of getting first red and second yellow ball is
.
Step-by-step explanation:
It is given that the box contains 14 red balls,12 blue balls,and 9 yellow balls. The total number of balls is

The probability is defined as

Probability of getting red ball = 
Probability of getting blue ball = 
Probability of getting yellow ball = 
It is given that a ball is drawn at random and the color is noted and then put back inside the box. It means first event will not effect the probability of second event.
a.
The probability of both balls are blue is

b.
The probability of getting first red and second yellow ball is

Answer:
The answer is c
Step-by-step explanation:
When there is a division with the sae variable and different exponent, you substract the exponent from the denominator from the one in the numerator.
