Reference no: EM13241678
1. Compute the mean and variance of the following discrete probability distribution.
X P(x)
2 .5
8 .3
10 .2
2. The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester based on past experience. What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation.
Admissions Probability
1000 .60
1200 .30
1500 .10
3. You are asked to match three songs with the performers who made those songs famous. If you guess, the probability distribution for the number of correct matches is:
Probability .333 .500 0 .167
Number correct 0 1 3 3
What is the probability you will get:
a) Exactly one correct?
b) At least one correct?
c) Exactly two correct?
d) Compute the mean, the variance, and the standard deviation of this distribution.
4. In a binomial situation n = 5 and p = .40. Determine the probabilities of the following events using the binomial formula.
a) x = 1
b) x = 2
c) x > 2
d) x 4
5. A local courier service reports that 95 percent of bulk parcels within the same city are delivered within 2 days. Six parcels are randomly sent to different locations.
a) What is the probability that all six will arrive within 2 days?
b) What is the probability that exactly five will arrive within 2 days?
c) Find the mean number of parcels that will arrive within 2 days.
d) Compute the variance and standard deviation of the number that will arrive within 2 days.
6. A telemarketer makes six phone calls per hour and is able to make a sale on 30 percent of these contacts. During the next two hours, find:
a) The probability of making exactly 4 sales.
b) The probability of making no sales.
c) The probability of making exactly 2 sales.
d) The mean number of sales in the two-hour period.
7. In a Poisson distribution .
a) What is the probability that x = 2?
b) What is the probability that x 2?
c) What is the probability that x > 2?
8. Automobiles frequently arrive at the Bronte exit of the QEW at the rate of two per minute. The distribution of arrivals approximates a Poisson distribution.
a) What is the probability that no automobiles arrive in a particular minute?
b) What is the probability that at least one automobile arrive in a particular minute?
|
What percentage of architects have z scores
: Suppose that the scores of architects on a particular creativity test are normally distributed. What percentage of architects have Z scores?
|
|
Explain eigen functions and what is the eigen value
: Which of the following wave functions are eigen functions of the operator d^2/dx^2? If they are eigen functions what is the eigen value? b) sin (2?x/a)
|
|
What scales of production does it exhibit economies of scale
: The price of capital, labor and materials are r, w, and m respectively. (1) In the short run, the amount of capital is fixed at k=k0. What are the conditional demand functions for labor and materials in the short run? (2) what is the short run total ..
|
|
Can i instruct sas to calculate the exact p to 8 decimal
: For large correlations, the SAS program simply states that p
|
|
Variance of the discrete probability distribution
: Compute the mean and variance of the discrete probability distribution and determine the probabilities of the following events using the binomial formula.
|
|
Do exhibit economies of scale diseconomies of scale
: Do you exhibit economies of scale, diseconomies of scale, or neither? Explain
|
|
Suppose a candidate running for sheriff claims that
: Suppose a candidate running for sheriff claims that she will reduce the average of emergency response to less than 30 minutes. (30 minutes is thought to be the average response time with the current sheriff.)there are no past records, so the actual s..
|
|
A director of a social agency is planning to hire temporaty
: A director of a social agency is planning to hire temporaty staff to assist with intake. In making plans, the director needs to know whether there is any difference in the use of he agency at different seasons of the year.
|
|
Determine the force on the negatively charged object
: A 2.0x10^-9 C point charge is located at x=3 cm, Determine the force on the negatively charged object due to the positively charged object
|