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Problem 1:
Given a binomial random variable with n=10 and p= .3, use the formula to find the following probabilities:
a) P(X = 3)
b) P(X = 5)
c) P(X= 8)
Problem 2:
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of all voters are Independent. A survey asked 25 people to identify themselves as Democrat, Republican, or Independent:
a) What is the probability that none of the people are Independent?
b) What is the probability that fewer than five people are independent?
c) What is the probability that more than two people are Independent?
An automobile manufacturer wants to estimate the mean gasoline mileage that its customers will obtain with its new compact model.
Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
At 0.01 significance level is it sensible to conclude that modification reduced number of traffic accidents?
Sampling distribution for the sample mean for a sample of size 160. This looks even more like a normal curve. This looks almost exactly like a normal curve. What have we seen from the above example?
An election poll reported that a candidate had an approval rating of 48% with a margin of error E of 3%. Construct a confidence interval for the proportion of adults who approve of the candidate.
a) How is it possible that the minimum of the 365 values is 0 inches and the median is also 0 inches? b) Describe the distribution as symmetric, left-skewed or right-skewed.
Choose a person aged 19 to 25 years at random and ask, "how many times have you worked out in the past?" Call the response X for short.
Construct a confidence interval for the mean length of the carrots using Gro-Haut circumstances and what is the probability of a puck being shot at speeds in between 82 and 96 mph?
The diameters of ball bearings are distributed normally. The mean diameter is 74 millimeters and the variance is 16. Find the probability that the diameter of a selected bearing is less than 78 millimeters.
If 50 cups of coffee were measured, what is the probability that: The sample mean per cup is less than 7.8 ounces?
At the .05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees? Use the five-step hypothesis-testing procedure.
A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is.
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