The amount of rainfall in january in a certain city

Question 1
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost. Less than 11 pounds
1/3
1/6
5/6
5/7
1/3
1/6
5/6
5/7
Question 2
If z is a standard normal variable, find the probability. The probability that z is less than 1.13
0.1292
0.8708
0.1292
0.8708
0.8485
0.8907
Question 3
Solve the problem. Round to the nearest tenth unless indicated otherwise. The amount of rainfall in January in a certain city is normally distributed with a mean of 4.3 inches and a standard deviation of 0.3 inches. Find the value of the quartile .
1.1
4.1
4.2
4.5
Question 4
Assume that X has a normal distribution, and find the indicated probability. The mean is 15.2 and the standard deviation is 0.9. Find the probability that X is greater than 17.
0.9713
0.9713
0.9821
0.0228
0.9772
Question 5
Solve the problem. The weights of the fish in a certain lake are normally distributed with a mean of 19 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 16.6 and 22.6 lb?
0.0968
0.4032
0.6730
0.3270
Question 6
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability of getting at least 20% correct.
0.0901
0.8508
0.3508
0.1492
Question 7
Use the normal distribution to approximate the desired probability. Find the probability that in 200 tosses of a fair die, we will obtain at least 40 fives.
0.0871
0.1210
0.0871
0.1210
0.2229
0.3871
Question 8
Solve the problem. The following confidence interval is obtained for a population proportion, p: (0.707, 0.745). Use these confidence interval limits to find the margin of error, E.
0.038
0.038
0.017
0.019
0.020
Question 9
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; the sample size is 10,000, of which 40% are successes
0.0072
0.0110
0.0126
0.0096
0.0072
0.0110
0.0126
0.0096
Question 10
Use the given degree of confidence and sample data to