In this problem, given the parameters n=3 and p=0.35, (a) construct the corresponding binomial probability distribution; (b) compute the mean and standard deviation of this distribution using the formulation that works for any discrete random variable; (c) compute the mean and standard deviation of this distribution using the formulation corresponding to any binomial probability distribution; and (d) draw a graph of the probability distribution and comment on its shape.
In: Statistics and Probability
The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. Round all probabilities to four decimal places.
a.What is the probability that the sample mean will be larger than 77 years?
b.What is the probability that the sample mean will be within 1 year of the population mean?
c.What is the probability that the sample mean will be within 2.5 years of the population mean?
In: Statistics and Probability
6. A student has applied for a job at Company X and Company Y. The probability of getting the job at "X" is 0.45, and the probability of getting the job at "Y" is 0.20. Assuming that the job offers are independent of each other, what is the probability that:
A. The student gets an offer from both companies?
B. The student will get at least one offer?
C. The student will not receive an offer from either company?
In: Statistics and Probability
A bank has kept records of the checking balances of its
customers and determined that the average daily balance of its
customers is $300 with a standard deviation of $50. A random sample
of 145 checking accounts is selected.
a) What is the probability that the sample mean will be more than $307.60?
b) What is the probability that the sample mean will be between $300 and $310?
c) What is the probability that the sample mean will be at least $296?
In: Statistics and Probability
4. Suppose that your customer’s average order size is 50 units with a standard deviation of 11 units . From this large data set, select a sample size , n=24 and compute the sample average .
Find the probability that this sample average will be less than 52.
Find the probability that this sample average will be between 49 and 53
Find the probability that this sample average will be greater than 48.
In: Statistics and Probability
Randy wants to either ride share to work or drive his own car to work, but it is impossible for Randy to ride share and drive his own car in one trip. If the probability that Randy ride shares is 0.22, and the probability that Randy drives his own car is 0.42, what is the probability that Randy ride shares or drives his own car to work?
Provide your answer below
In: Statistics and Probability
An employer has determined that the proportion of all its employees who drink coffee is 85%.
a. What is the probability that in a random sample of 200 employees, less than 80% drink coffee?
b. What is the probability that in a random sample of 200 employees, more than 90% drink coffee?
c. Interpret the probability you have calculated for part-b above using your own words.
In: Economics
The lengths of lumber a machine cuts are normally distributed with a mean of
106106
inches and a standard deviation of
0.40.4
inch.(a) What is the probability that a randomly selected board cut by the machine has a length greater than
106.15106.15
inches?(b) A sample of
3535
boards is randomly selected. What is the probability that their mean length is greater than
106.15106.15
inches?
(a) The probability is
nothing.
(Round to four decimal places as needed.)
In: Statistics and Probability
Suppose 3% of all athletes are actually using the endurance-boosting hormone EPO. The test for the presence of this substance is very reliable; the probability of a positive test result given the presence of EPO is 0.99, and the probability of a negative test result when EPO is not present is 0.90. Find the probability that a randomly selected athlete tests positive for the presence of EPO.
Group of answer choices
0.9027
0.1267
0.0297
0.0567
In: Statistics and Probability
Post a clear and logical response in 150 to 200 words to the following questions/prompts, providing specific examples to support your answers.
In: Statistics and Probability