Let æ be a random variable that possesses a binomialdistribution with p = 0.9 and n =formula or tables, calculate the following probabilities. Also15. Using the binomial%3Dcalculate the mean and standard deviation of thedistribution. Round solutions to four decimal places, ifnecessary.P(x > 11) =P(x < 2) :P(x = 14) =σI| I|

Given,n=15p=0.9q=1-pq=1-0.9=0.1A random variable X~Binomial(n=15 , p=0.9)P(X=x)=15x 0.9x 0.115-x ;…

Answered: Let æ be a random variable that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the random variable X is normally distributed with mean = 15 and standard deviation = 2. Let n = 4. Find P( > 16) and P( < 16).
A gardener buys a package of seeds. Seventy-five percent of seeds of this type germinate. The gardener plants 90 seeds. Find the probability that 60 or fewer of the seeds germinate. Use the normal approximation to the binomial with a correction for continuity. Use Table A.2 (Normal Distribution Table) and keep four decimal places with your answer. Intermediate calculations should be carried to a minimum of four decimal places.
Assume that a procedure yields a binomial distribution with n = 615 trials and the probability of success for one trial is p 27%. Find the mean for this binomial distribution. (Round answer to one decimal place.) μl = Find the standard deviation for this distribution. (Round answer to two decimal places.) σ= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Let x be a random variable that has a normal distribution with a mean of 40 and a standard deviation of 5. After converting the following x-values to z-values, find the following probabilities: P(x < 49) P(x > 55)
Assume that a procedure yields a binomial distribution with n = 815 trials and the probability of success for one trial is p = 0.32. Find the mean for this binomial distribution. (Round answer to one decimal place.) fl Find the standard deviation for this distribution. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=
Use the z formula and the normal table( z distribution) to solve the following problems. the time it takes a person to lose weight following a healthy diet with regular exercise may be looked upon as a random variable having a normal distribution with mean μ = 18.4 lbs per month and standard deviation σ = 5.8 lbs per month. Find the probabilities that during a period of healthy dieting and exercising a person's weight will be reduced by at least 20 lbs per month,between 5 and 15 lbs per month,at most 30 lbs per month and between 15 and 25 lbs per month?
Assume that a procedure yields a binomial distribution with n = 513 trials and the probability of success for one trial is p = 0.27. Find the mean for this binomial distribution. (Round answer to one decimal place.) Find the standard deviation for this distribution. (Round answer to two decimal places.) O = Use the range rule of thumb to find the minimum usual value u-20 and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Find the value of X (Left Tailed Probability of 0.5) for v1 = 10 and v2 = 20 degrees of freedom.
Find the mean and variance of the binomial Distribution P=0.38, n=5
Assume that a procedure yields a binomial distribution with n=1231n=1231 trials and the probability of success for one trial is p=0.77p=0.77.Find the mean for this binomial distribution.(Round answer to one decimal place.) μ = Find the standard deviation for this distribution.(Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter the answer as an interval using square-brackets only with whole numbers. usual values =
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=51 p=.03 x=20

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