Answer:
97% confidence interval for the survey is between a lower limit of 0.45 and an upper limit of 0.67
Step-by-step explanation:
Confidence Interval is given by the mean + or - error margin
The lower limit of the confidence interval is found by subtracting the error margin from the mean.
The upper limit is obtained by adding the error margin to the mean.
The interpretation is that the mean is between 0.45 and 0.67
<h3>
Answer:</h3>
x=2
<h3>
Solution:</h3>
- In order to isolate x, we should first of all take the square root of both sides.
- If we take the square root of the left-hand side, we will get

- How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
- So we have

- Move -1/2 to the right:


- x=2
Hope it helps.
Do comment if you have any query.
Answer:
4th one
Step-by-step explanation:
Answer: 1. 0.0256
2. 0.4096
Step-by-step explanation:
Binomial probability formula , to find the probability of getting x successes:
, where n= Total number of trials
p= Probability of getting success in each trial.
Let x be the number of customers will make purchase.
As per given , we have
p= 0.20
n= 4
1. The probability that 3 of the next 4 customers will make a purchase will be:-

![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256
2. The probability that none of the next 4 customers will make a purchase will be :

![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096