A set of final exam grades in ST2500 course is normally distributed with mean 70 and standard deviation of 8. (a) What is the probability of getting a grade of A(greater or equal 80) on this exam? (4) (b) What is the probability of that a student scored between 65 and 79? (4) (c) The probability is 10% that a student taking the exam scores higher than what grade?
In: Statistics and Probability
For a random sample of size 64 from a population with mu=24 and standard deviation sigma=1.5. State the center, variation, and shape of the sampling distribution for samples of size 64. Justify your answer. Find the probability that the sample mean exceeds 24.3. Draw a fully labeled picture that illustrates the probability, and write down your answer using probability notation.
In: Statistics and Probability
In: Statistics and Probability
You have a one in ten chance of selecting the right outcome and a total of 25 trials.
In: Statistics and Probability
A clinic tests patients for the novel Zombie virus. A patient is likely to be tested positive with probability 0.25. If each patient testing is independent, answer the questions below:
1. What is the probability that the 6th patient is tested positive?
2. What is the probability that the 6th patient is the first one to be tested positive? Use an appropriate random variable family and the provide a PMF.
In: Statistics and Probability
In: Statistics and Probability
Killmonger Healthcare has forecasted the following EBITs and associated probabilities:
$-61 million (15% probability)
$33 million (30% probability)
$136 million (55% probability)
Considering that Killmonger has:
8.23 million shares outstanding trading currently trading at $13.69
$64 million in debt (market value)
A 34% tax rate
What is the expected ROIC?
In: Finance
In: Statistics and Probability
Let X be the minimum and Y the maximum of three numbers drawn, without repositioning, from the set {0, 1, 2, 3, 4}.
a) Determine the joint probability function of X and Y.
b) Calculate the marginal probability functions of X and Y.
c) Are X and Y independent? Justify.
d) Find the probability function of Z = Y - X
In: Statistics and Probability
3. Consider Binomial(10, 0.3) distribution. Do the following tasks:
(b) Write down the mean and standard deviation of each distribution.
(c) Find the lower tail probability of 4.
(d) What is the probability that the value of the random variable is 2?
(e) What is the probability that the value of the random variable is greater than 2 and less than or equal to 4?
In: Statistics and Probability