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11. A medication has side effects. Given that nausea is a side effect, the probability is...
17. Find the mean of X given Y = - The joint probability density function is...
17. Find the mean of X given Y = - The joint probability density function is f(x, y) for random variables X and Y. #x, y) = f (xy + y) 0<x<1,0<y<1 0 Elsewhere = 21. A uniform distribution has parameters a = 0.1 and B = 0.9. P(0.23 < X < 0.67) = 13. At a company, 75% of the employees pass a screening test to see if they need additional training. Of those that pass the screening test,...
1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5...
1/ Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10 Find the standard deviation of this variable. 1.52 4.01 1.58 2.49 2/ The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why? Supplier B, as their standard deviation is higher and, thus, easier to...
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≥7), n=8, p=0.5.
Assume the random variable X has a binomial distribution with the given probability of obtaining a...
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X=6), n=7, p=0.4
Which of the following is a characteristic of a binomial probability experiment
7. Which of the following is a characteristic of a binomial probability experiment? A. Each trial has at least two possible outcomes B. P(success) = 1 P(failure) C. The binomial random variable x is the count of the number of trials that occur D. The result of one trial affects the probability of success on any other trial Answer: 8. If the random variable z is the standard normal score, which of the following probabilities could easily be determined...
Background The notation P(AlB) is read as "the probability of A, given B, has occurred." So...
Background The notation P(AlB) is read as "the probability of A,
given B, has occurred." So the "" symbol is read as "given."
Formally, A and B are called events and P(AB) is a conditional
probability Bayes' rule is a very useful way of relating
conditional and unconditional probabilities. According to this
rule, for any two events A and B, we have: P(B) Let's use "T+" to
denote the event "the screening test concludes that the condition
(disease, pregnancy, etc,)...
12) A student takes a 10-question multiple-choice test by guessing. Each question has 4 choices. Use...
12) A student takes a 10-question multiple-choice test by guessing. Each question has 4 choices. Use the binomial distribution to compute the following probabilities. a. b. c. The student gets at most 2 correct. The student gets exactly 3 correct. The student gets at least 7 correct. 10) Compute the mean, variance, and standard deviation for the probability distribution listed below. 4 P(X) 1/3 1/8 1/8 1/4 1/6
1. Given that x has a Poisson distribution with μ=4, what is the probability that x=6?...
1. Given that x has a Poisson distribution with μ=4, what is the probability that x=6? Round to four decimals. 2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find P(4) when μ=7. Round to the nearest thousandth. 3. Given that x has a Poisson distribution with μ=0.4, what is the probability that x=4? Round to the nearest thousandth. 4. Describe the difference between the value of x in a binomial distribution and in...
Question 11: The length of life of an instrument produced by a machine has a normal...
Question 11: The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a) less than 7 months. b) between 7 and 12 months. Question 12 The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. a) What...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees to act as servers from the local college. Not being the most reliable employees, there is an 80% chance that any one server will actually show up for a scheduled event. For a wedding scheduled on a given Saturday you need at least 5 servers. (a) Suppose you schedule 5 employees, what is the probability that all 5 come to work? (b) Suppose you...
17. Find the mean of X given Y = - The joint probability density function is f(x, y) for random variables X and Y. #x, y) = f (xy + y) 0<x<1,0<y<1 0 Elsewhere = 21. A uniform distribution has parameters a = 0.1 and B = 0.9. P(0.23 < X < 0.67) = 13. At a company, 75% of the employees pass a screening test to see if they need additional training. Of those that pass the screening test,...
Background The notation P(AlB) is read as "the probability of A,
given B, has occurred." So the "" symbol is read as "given."
Formally, A and B are called events and P(AB) is a conditional
probability Bayes' rule is a very useful way of relating
conditional and unconditional probabilities. According to this
rule, for any two events A and B, we have: P(B) Let's use "T+" to
denote the event "the screening test concludes that the condition
(disease, pregnancy, etc,)...
12) A student takes a 10-question multiple-choice test by guessing. Each question has 4 choices. Use the binomial distribution to compute the following probabilities. a. b. c. The student gets at most 2 correct. The student gets exactly 3 correct. The student gets at least 7 correct. 10) Compute the mean, variance, and standard deviation for the probability distribution listed below. 4 P(X) 1/3 1/8 1/8 1/4 1/6
Question 11: The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a) less than 7 months. b) between 7 and 12 months. Question 12 The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. a) What...
Chapter 5: Discussions 1. Scheduling Employees: Suppose you own a catering company. You hire temporary employees to act as servers from the local college. Not being the most reliable employees, there is an 80% chance that any one server will actually show up for a scheduled event. For a wedding scheduled on a given Saturday you need at least 5 servers. (a) Suppose you schedule 5 employees, what is the probability that all 5 come to work? (b) Suppose you...
Most questions answered within 3 hours.
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