Question: Consider a binomial random variable x with n = 45 and p = .05. a. Are np and nq both larger than 5? b. Based

Consider a binomial random variable x with n = 45 and p = .05.
a. Are np and nq both larger than 5?
b. Based on your answer to part a, can we use the normal approximation to approximate the binomial probabilities associated with x? If not, is there another possible approximation we could use?

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Consider a binomial random variable with n 45 and p 05 ... 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)

879-S-J-P-D (1964).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider a binomial random variable with n = 8 and p = .7. Let x be the number of successes in the sample. a. Find the probability that x is 3 or less. b. Find the probability that x is 3 or more. c....

Consider a binomial random variable with n = 9 and p = .3. Let x be the number of successes in the sample. a. Find the probability that x is exactly 2. b. Find the probability that x is less than 2....

Consider a binomial random variable with n = 9 and p = .3. Isolate the appropriate column in Table 1 and fill in the probabilities below. Fill in the blanks in the table below. 0 1 2 3 4 5 6 7 8 9...

Suppose the numbers of a particular type of bacteria in samples of l millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 84 and a standard deviation of 6....

Hello, expert tutors. Problem 1. The MIT soccer team has 2 games scheduled for one weekend. It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game,...

STAT 400 G. Fellouris Fall 2015 Homework 10 Readings Sections 5.6, 5.7, 5.9 Sections 7.3-7.4 (pg. 326) Exercises 1. Sums of iid random variables are asymptotically normal Let X1 , . . . , Xn be...

Korea Advanced Institute of Science and Technology Department of Electrical Engineering & Computer Science EE531 Statistical Learning Theory, Spring 2016 Assignment I Issued: Mar. 19, 2016 Due: Apr....

6.36 Consider a binomial random variable X with n=45 and p=0.05. a. Are np and ng both larger than 5? b. Based on your answer to part a, can we use the normal approximation to approximate the...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

What is the difference in accounting between cash dividends and share dividends? Give a sample journal entry for each.

Suppose the Moroccan dirham was tightly managed relative to a euro-dominated basket of currencies. Many business analysts felt the peg was useful for anchoring Morocco's inflation rate. Explain how a...

In addition to evaluating the frequency of deviations in test of controls, an auditor should also consider certain qualitative aspects of the deviations. The auditor most likely would give additional...

* Statistics. A professor teaches two sections of an introductory statistics course. He gives each section the same final and wonders if any significant differences exist between the medians of these...

Find the tabled values of q a (k, df ) using the information given 5. a .01, k=6, df = 24

Find the tabled values of q a (k, df ) using the information given 7. a .01, k 3, df = 15

If the sample size for each treatment is nt and 2 s 58.0 is based on k(n 21) t degrees of freedom, find using the information w=qa (k, df) S In.

1)Return on assets (Use after-tax operating income and average assets.) 2)Return on capital (Use after-tax operating income and average capital.) 3) Operating profit margin (Use after-tax operating...

Simple PS The stock of Omicron Corp. is currently trading at $ 4 1 . 3 5 . The company just reported sales amounting to $ 1 3 million and has $ 2 million shares outstanding. Given that the benchmark...

Can someone please help me to this how on C Language? Lagrange Interpolation Polynomial will be created for the 5 points (n:0-4) given in the table. P(x) -3 -1 n xn 0-1 10 2 1 32 43 4 NO Print the...