Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results. Sixty-two percent of adults in a certain country believe that life on other planets is plausible. You randomly select fiveadults and ask them whether they believe that life on other planets is plausible. The random variable represents thenumber of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation ofthe binomial distribution for the random variable. Interpret the results.

Given:number of trials n = 5probability of success = 62% = 0.62 The random variable represents the…

Answered: Sixty-two percent of adults in a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

See similar textbooks

Related questions

Question

100%

Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.

Sixty-two percent of adults in a certain country believe that life on other planets is plausible. You randomly select five
adults and ask them whether they believe that life on other planets is plausible. The random variable represents the
number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of
the binomial distribution for the random variable. Interpret the results.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution