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Assume that the probability increases to 70%. What is the probability that at least 12 out of 15 students will actually enroll?
A confidence interval estimate for the population mean is given to be (36,25,44,76). Determine the confidence level used for given confidence interval.
Find the mean and variance of a random variable defined to be 1 it he makes a sale and 0 otherwise.
Suppose now we have a new random variable X = 2 + 3Y. Construct a Table with the probability distribution of X for each value of Y and X.
Consider an experiment that consists of taking 1 marble from the box and then replacing it in the box drawing a 2nd marble from the box. Describe the sample space and repeat when the 2nd marble i
Find the mean, variance and standard deviation for the population of the number of persons per household.
Let f(x)= a(e^(-2x) - e^(-3x)), for x > or equal to 0, and f(x)= 0 elsewhere. Find a so that f(x) is a probability density function.
Construct a table of each value of the random variable X, the number of persons in the household, and its estimated probability or frequency.
If a random variable X has the uniform (0,1) distribution and Y=2X-1. Find P[Y≤y] for all such values y by reexpressing the inequality in terms of X. Use this to find the probability density fun
Find the standard deviation given that the probability of less than 990ml in a randomly selected bottle is 5%. What can you say about the standard deviation if the probability is less than 5%?
The random variable X is normally distributed with mean μ and variance σ(squared). Given that P(X > 58.37) = 0.02 and P(X < 40.85) = 0.01, find the mean and the standard
At the time, I believed that Brazil would beat Portugal with probability 0.8. For the bet to be fair, how much should Mahmood have paid me if Brazil did not beat Portgual?
A Random sample of size 10 is chosen from a population of 100 without replacement If A and B are two indiviuals among the 100, what is the probability that the sample will contain?
To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two seperate steps, and the second procedure requires either one
Assuming that the times between repairs are exponentially distributed, what is the probability that such an appliance will work at least 3 years without repairs?
The U.S. adult population by age is as follows (The World Almanac, 2009). The data are in millions of people. Age Number 18 to 24 29.8 25 to 34 40.0 35 to 44 43.4 45 to 54 43.9 55 to 64 32.7 65 and
Assuming that all permutations of the passengers getting off at various floors are equally likely, find the probability that at least two of them get off on the same floor.
If the Maximum Error of Estimate is 0.05 for this sample, what would be the sample size? Given that the sample Size is 400 with this same z(a/2) and s, what would be the Maximum Error of Estimate?
Q1: What is the procedure involved in performing hypothesis tests? Q2: Discuss the business uses of time series forecasting.
Among the 15 scientists working on a research project, 10 have Ph.D.'s. What is the probability that three of them have Ph.D.'s?
Two out of five adult smokers aquired the habit by age 14. If 400 smokers are randomly selescted, find the probability that 170 or fewer aquired the habit by age 14.
A person has 8 friends but can only invite 5 to their birthday party. How many ways can she invite 5 friends if two of the friends will only attend together? show full working.
A second approach is to compute a binary variable having the value 1 if X<Y and 0 otherwise. The average value of the binary variable will be an estimate of the reliability.
Determine the smallest integer number of trunk lines needed so that tq the waiting time in the queue satisfies the relation t P[tq < 60 sec.]> 0.95, i.e., the probability exceeds 95% that the
If IQ scores have a normal distribution with a mean of 100 and standard deviation of 15, what is the minimum score a student must have to be admitted?