Question: Suppose two trials are independent, but the first has a probability 0.3 of success, and the second a probability 0.1 of success. Find the probabilities

Suppose two trials are independent, but the first has a probability 0.3 of success, and the second a probability 0.1 of success. Find the probabilities of zero, one, and two successes, and compare with the binomial distribution with n = 2 and p = 0.2. Does the expected number of successes match the binomial distribution? Does the variance?
The binomial distribution depends on two key assumptions: the trials must each have the same probability of success, and the trials must be independent. Show that the distribution of outcomes does not match the binomial distribution in the following cases.

Step by Step Solution

★★★★★

3.48 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The probability of 2 successes is 03 01 003 The probability of 0 successes is 0... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

808-M-S-P (7827).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Please show you calculation Question 1: (Needs Approach) The correct answers are based on the set of facts and tables provided below. All the data you need to perform the necessary calculations are...

Two samples are drawn. The first has a mean of 150, variance 50 and sample size 12. The second has mean 130, variance 30 and sample size 15. Test the hypothesis that they are drawn from populations...

WF Ltd is considering replacing its old fully depreciated forklift with a new model. Two months ago, WF paid LMO Consulting $11,000 in consulting fees to help them evaluate the various forklifts on...

Independent trials that result in a success with probability p are successively performed until a total of r successes is obtained. Show that the probability that exactly n trials are required is Use...

2017/9/14 CS 237 Probability in Computing For the following problems, analyze means to specify (i) the sample space S, (ii) probability function P, (iii) the events listed (i.e.,list the members of...

STAT 210: PROBLEM SET 5 VERSION A (CAN BE DISCUSSED IN OFFICE HOURS) DUE: 10-20 1. The probability distribution of random variable X is given below: x 2 P(x) 0.9 What is 2X (rounded to four decimal...

Suppose you have $2M and you want to invest it in personal genomics testing companies with a focus on inherited cancer gene screening. Each company needs $2M to develop their respective testing kit....

Seven probability questions. Understanding these does not come easy to me. 10. [-I1 Points] DETAILS BERRFINMATH1 5.4.003. MY NOTES A box contains .1 white, 2 red, and 4 black marbles. One marble is...

1. Determine whether the random variable below satisfies the conditions for a binomial setting, a geometric setting, or neither (you don't need to actually calculate the number). Support your...

You are going to draw two candy bars from a large bag containing 25Snickers bars and 7Twix bars. (Assume you are going to keep the candy bars.) Tell whether the two draws are independent or...

1. [1/5 Points] DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 3.4.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a population of voters. Suppose that there are / = 8,000 voters in the population,...

Falstags Brewery has estimated $63,375, $68,625, and $73,875 budgeted costs for the manufacture of 3,500, 4,500, and 5,500 gallons of beer, respectively, next quarter. What are the variable and fixed...

Which type of data (cross-sectional or time series) is each variable? a. Mexicos GDP for each of the last 10 quarters. b. Unemployment rates in each of the 31 states in Mexico at the end of last...

Which performance management actions help manage a team's avoidance of accountability? More than one answer may be correct. Multiple select question. playing devil's advocate rewarding performance...

A current I flows to the right through a rectangular bar of conducting material, in the presence of a uniform magnetic field B pointing out of the page (Fig. 5.56). (a) If the moving charges are...

Two identical 10-lb slender rods AB and BC are welded together to form an L-shaped assembly which is suspended from a hinge at B and is at rest in a vertical plane. A 0.03-lb bullet strikes the...

Fusion Reactor If two deuterium nuclei (charge +e, mass 3.34 X 10-27 kg) get close enough together, the attraction of the strong nuclear force will fuse them to make an isotope of helium, releasing...

A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 X l0-16 N in...

The magnetic field B in a certain region is 0.128 T, and its direction is that of the +z-axis in Fig. (a) What is the magnetic flux across the surface abed in the figure? (b) What is the magnetic...

6. There are 15 numbers on a list, and the smallest number is changed from 12.9 to 1.29. a. Is it possible to determine by how much the mean changes? If so, by how much does it change? b. Is it...

Show that x2y2 (4 x2) (4 y2)

Let a and be positive numbers. Show that not both of the numbers a (1 b) and b (1 a) can be greater than .

Find the point on the parabola y = 1 x2 at which the tangent line cuts from the first quadrant the triangle with the smallest area.

You've observed the following returns on Crash-n-Burn Computer's stock over the past five years: 7 percent, -12 percent, 11 percent, 38 percent, and 14 percent. Required: a. The arithmetic average...

General requirement is to solve by hand and try to solve without using a compiler. Exercise dynamic memory allocation 1.) Consider you want to dynamically allocate memory for an array of arrays,...

Jerri has $ 5 0 , 0 0 0 in taxable income this year. She has not yet used any expensing. How much could she lower her taxable income if she could take full advantage of expensing?