For an NBA player who makes 60% of all free throws, suppose that he shoots free throws independently.
1. Suppose that he shoots 6 free throws in a game. What is the probability that he scores more than 4 points?
2. If the player keeps shooting until he misses, what is the probability that he stops at the fourth trial?
3.If the player keeps shooting until he misses and let X denote the number of trials he shoots, what is E(X)? What is Var(X)?
In: Statistics and Probability
State Farm Insurance studies show that in Colorado, 55% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random. A.)What is the probability that two or more claims are made by males under age 25? (Use 3 decimal places.) b.)What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.)
In: Statistics and Probability
In: Statistics and Probability
According to a survey, 62 % of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. When technology is used, use the Tech Help button for further assistance. (a) Find the probability that exactly 41 of the murders were cleared. (b) Find the probability that between 35 and 37 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 18 of the murders were cleared? Why or why not?
In: Statistics and Probability
When we roll one die, we have a 1 in 6 probability of getting any particular number on the die. When we roll both dice, there are 36 different permutations of total pairs that can be produced, yet only 11 actual distinct values.
Explain how the probability associated with the roll of each individual die in the pair explains the higher variability in the total outcome of the roll of each pair. Discuss how this affects what you think about when we discuss the notion of degree of freedom.
In: Advanced Math
I. Simulate a binomial random variable. Consider a class with 60 students, and the probability that a student does not turn in a homework is 0.10 (a “success”). Assume all students are independent of all other students, and the probability does not change.(a) Use sample to simulate drawing 60 students who either do, or do not, turn in their homework, and then find the total (out of 60) who did not turn in their homework. You should return one number,X= total # of students out of 60 who did not turn in their homework.
In: Statistics and Probability
According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 15 federal inmates is selected.
(a) What is the probability that 12 or more are serving time for
drug dealing? (Round your answer to three decimal places.)
(b) What is the probability that 6 or fewer are serving time for
drug dealing? (Round your answer to three decimal places.)
(c) What is the expected number of inmates serving time for drug
dealing? (Round your answer to one decimal place.)
In: Statistics and Probability
1.) the length of human pregnancies has a mean of 266 days and a standard deviation of 16 days. find the probability that a randomly chosen pregnancy lasts between 260 and 270 days. 2.) find the 45th percentile of days for a human pregnancy. 3.) the number of chocolate chips in a bag of chips ahoy cookies has a mean of 1262 with a standard deviation of 118 chips. find the probability a random bag has over 1100 chocolate chips. 4.) True or false. the total area under the normal curve is 5.
In: Statistics and Probability
1. Suppose your average number of work hours per year has been 2000 hours with a standard deviation of 118 hours. Please graph and calculate the probability you will work between 1900 hours and 2300 hours next year. Hint: Two Zs and be ready to add. Use the “old” Z formula for this problem.
2. Based on the information in Problem #1, please calculate the probability you will work between 2300 and 2500 hours next year. (again please use the “old” Z formula”
In: Statistics and Probability
According to Harper's Index, 60% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected.
(a) What is the probability that 10 or more are serving time for drug dealing? (Round your answer to three decimal places.)
(b) What is the probability that 6 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)
(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)
In: Statistics and Probability