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(A) Find the binomial probability P(x = 5), where n = 13 and p = 0.70.
(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 5) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.
Does the weight of a vehicle affect the gas mileage? The following random sample was collected where x = weight of a vehicle in hundreds of pounds and y = miles per gallon.
A high school counselor is interested in the percentage of students who will be going to college. She randomly picks 60 students and finds that 53 will be going to college. Use a 95% confidence level to find the population proportion.
Using t test for significance of slope to determine whether the independent variable is a significant predictor of the dependent variable - Find the sum of the least squares slope and intercept parameter?
Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
Could you please explain in words how you figure out deciles, quartiles, kurtosis, skewness in Excel? How do you find the sum count, largest, and smallest in Excel?
Determine the control limits for the mean and the range. Plot the control limits for the mean outside diameter and the range.
What is the probability that the participant was aged 20-40 or was influenced by ipad the most? What is the probability that the participants were influenced by ipod the most, given that the participants are aged under 20?
Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using What is the P-value of the test statistic?
The management of a regional bus line thought its cost of gas might be correlated with its passenger/mile ratio. Comment on the data and correlation matrix below.
Carry out a t-test to see if the mean healing rate is significantly lower in the experimental limbs, including all 12 newts. What are the test statistics and their P-values?
You create a 95% confidence interval for your average score and it is (76.347, 79.133). Given this information, what is the best conclusion?
What is the characteristic function of N? What is the mean and variance of N? What is the pmf of N? What is the probability that N is an even number?
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