A biased coin is tossed 160 times. The number of heads obtained, H, follows a binomial distribution

Question:

A biased coin is tossed 160 times. The number of heads obtained, H, follows a binomial distribution where E(H) = 100. Find:

a. The value of p and the variance of H

b. The approximate probability of obtaining more than 110 heads.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 14, 2021 02:11 AM

See More Questions

A biased coin is tossed n times. Let xi be 1 if the ith toss is heads and 0 if it is tails. Assume a non informative prior, p() = 1, 0 < < 1. Let t be the number of heads obtained. Show that the...
A biased coin is tossed three times. The probability distribution for H, the number of heads obtained, is shown in the following table. a. Find the probability of obtaining a head each time the coin...
A biased coin is tossed n times (each toss is independent) with probability h for heads. i. Give a formula to determine the smallest n that lets the probability of at least one head to be x. ii....
ABC Company produces mode trains. During the month of July, it produced 4,000 trains. The actual labor hours were 8 hours per train. Its standard labor hours are 10 hours per train. The standard...
How many molecules of Fe2(SO4)3 can you make from 777 atoms of S?
Use the information in Exercise 11 and assume that Lansing Mfg. has decided to use units of production to apply overhead to production. In April 2010, the company produced 875 units and incurred...
What are organic and mechanistic forms? LO.1
Consider the following transactional data for the first month of operations of Shine King Cleaning, Inc. Nov 1: Evan Hudson deposited $35,000 in the business account. Also on this date, Evan...
IMPORTANT Hestion 2 What are the four questions that must be answered to make an accounting measurement? Give an example for each, For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). TT T Arial...
4 The primary purpose of this assignment is to give you practice calculating variances. The 5 variances you need to calculate are described under the "REQUIRED" heading below. 6 The secondary purpose...
The following stem-and-leaf diagram shows the number of shots taken by 10 players to complete a round of golf. a. Given that the median number of shots is 74.5 and that the mean number of shots is...
The distance that children at a large school can hop in 15 minutes is normally distributed with mean 199m and variance 3700m 2 . a. Calculate an estimate of b, given that only 25% of the children...
Robin Dillon has recently accepted a new job in the Washington, DC, area and has been hunting for a condominium to purchase. From friends and coworkers she has compiled a list of five possible...
Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state,...
Problem PS9.2.4 0/5 points (graded)Suppose that in this economy all the funds for capital come from savings by the 10 individuals. Firms' demand for capital is given by QD=100100r . What is the...
As Renata explained her frustration with a coworker to the human resource manager, the manager quickly averted her eyes and began shuffling papers on her desk. Renata immediately felt uncomfortable....
Confidential counselling for mental health issues is available through the organization's: Multiple Choice group insurance plan workers' Compensation plan preventive care program employee recognition...
ABC Credit Finance is a credit card provider with regional payment processing centers. You are a manager of one of these centers. You are an at-will employee in a typical at-will jurisdiction. ABC is...
(Note: This is a variation of E 1917 modified to include convertible bonds). On December 31, 2020, Berclair Inc. had 200 million shares of common stock and 3 million shares of 9%, $100 par value...
Describe a group you belong or have belonged discuss the stages of group development and suggest how to improve the group effectiveness by using the group development model.
To determine the prevalence of human growth hormone (HGH) use among high school varsity baseball players, the State Athletic Commission randomly selects 50 high schools. All members of the selected...
Describe a circumstance in which stratified sampling would be an appropriate sampling method?
Which sampling method does not require a frame?
Long-term liabilities are shown in two places in the business firm's balance sheet depending upon when the long-term liabilities are scheduled for payment. True False
Julio is single with 1 withholding allowance. He earned $1,025.00 during the most recent semimonthly pay period. He needs to decide between contributing 3% and $30 to his 401(k) plan. If he chooses...
Acquirer firm plans to launch a takeover of Target firm. The manager of Acquirer indicates that the deal will increase the free cash flow of the combined business by $13.6m per year forever. The beta...

A biased coin is tossed 160 times. The number of heads obtained, H, follows a binomial distribution

Question:

Step by Step Answer:

A debit note or a debit memo is a document issued by a seller to a buyer to notify them of current ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions