Estimating the probability value using the given data

Assignment Help Basic Statistics
Reference no: EM1315488

In answering a question on a multiple choice test, a student either knows the answer or he doesn't and he guesses. Let p be the probability that he knows the answer (1-p is therefore the probability that he guesses.) Assume that a student who guesses at the answer will be correct with probability 1/m, where m is the number of multiple choice alternatives.

What is the probability that a student knew the answer to a question given that he answered it correctly? Assume that if he knew the answer, he did not make a mistake and he wrote down the answer correctly, i.e. P (C|K) = 1.0.

P (K) = p        P (K') = 1 - p

a) Find P (K|C) in terms of m and p.

b) If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?

Reference no: EM1315488

Questions Cloud

Estimating the future sales using adjusted sales forecast : Compute a seasonalized or adjusted sales forecast.
Computation of cost of equity and weighted average cost : Computation of cost of equity and weighted average cost of capital (WACC) and what conclusions can you draw from your results from Parts
Optimal number of bran muffins to sell in a single package : Conclude the optimal number of bran muffins to sell in a single package also the optimal package price. Elucidate how all step by step calculations to arrive at solution.
Valuing the health care : Find the best way in order to leverage value from the health IM / IT investments in today’s health care environment. Give some specific examples in order to support your response.
Estimating the probability value using the given data : If there are 5 choices for a question and there is a 50% chance that the student knows the answer, what is the probability that the student knew the answer to a question he correctly answered?
The snell law to find the index of refraction : The Snell law to find the index of refraction
Impact of tax and social optimum : Show that the government can achieve the social optimum by setting the correct tax prices a, b, and c. What prices should it set?
Computing probabilities for demand during lead time : Given this, compute the following probabilities for demand during lead time(DDLT).
Implementing the nested – loop join algorithm : Implement the Nested – Loop Join algorithm in any of the programming language.The solution should involve:a) Source file of application,

Reviews

Write a Review

Basic Statistics Questions & Answers

  Probability of sample or average medians

Calculate the probability that the median of the sample or average medians is:

  Poisson distribution with parameter

Let X 1 , X 2 , X 3 , X 4  be a random sample from a Poisson distribution with parameter λ and let Y = X 1  + X 2  + X 3  + X 4 . You decide to test λ = 1.60 versus λ

  The numerical value of the wilcoxon signed rank test

A pediatrician is interested in studying the effect of Motrin on reducing temperature in young children. Four children with influenza have their temperatures taken immediately before and then 20 minutes after taking a standard dose

  Possibility of subcommittees

If they must form an ethics subcommittee of 4 members, how many different subcommittees are possible?

  One-way anova and post-hoc test using spss

In this paragraph, be sure to make it clear how you handled the issue of conducting three planned comparisons. Also provide the ANOVA summary table for these results.

  Determining the value of statistic and dependent variable

Determine the dependent variable(s)? Determine the value of the statistic? Write down the name of one variable not mentioned in this study that one might wish to control for.

  Finding probabailty that none of the antennas is defective

Assume 1.5% of antennas on new Nokia cell phones are imperfect. For random sample of 200 antennas, determine the probability that: None of the antennas is defective.

  Evaluating the p-value for mortgage rate for small banks

At.01 significance level, can we conclude that 30-year mortgage rate for small banks is less than 6%? Evaluate the p-value.

  Fitting of multiple linear regression model

Interpret this data using regression and interpret all the findings, R 2 , F, IV coefficient, and the intercept.

  Evaluating true mean delivery time using standard deviation

Evaluate true mean delivery time to within 5 minutes at 90% reliability level?   Suppose that standard deviation for delivery times is 18.2 minutes.

  What conclusion can be made from this study

It has been claimed that women live longer than men; however, men tend to be older than their wives. Ages of sixteen husbands and wives from England were obtained. The null hypothesis of equality of means is rejected. What conclusion can be made f..

  Hypothesis test for analysis of variance

The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is:

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd