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When circuit boards used in the production of compact disc players are tested, the long-term rate of defects is 5%. Let X = the number of defective boards in a random sample size of n  is equal to 25, so X ~ Bin(25, 0.05) (Round to three decimal places.)   (Part a) Please Determine P(X ≤ 2).(Part b) Please Determine P(X ≥ 5).(Part c) Please Determine P(1 ≤ X ≤ 4).(Part d) What is the probability that none of the 25 boards is defective?    (Part e) Calculate the expected value and standard deviation of X. (Round the standard deviation to two decimal places.) expected value ___  boards  standard deviation___ boards

When circuit boards used in the production of compact disc players are tested, the long-term rate of defects is 5%. Let X = the number of defective boards in a random sample size of n  is equal to 25, so X ~ Bin(25, 0.05) (Round to three decimal places.)   (Part a) Please Determine P(X ≤ 2).(Part b) Please Determine P(X ≥ 5).(Part c) Please Determine P(1 ≤ X ≤ 4).(Part d) What is the probability that none of the 25 boards is defective?    (Part e) Calculate the expected value and standard deviation of X. (Round the standard deviation to two decimal places.) expected value ___  boards  standard deviation___ boards

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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When circuit boards used in the production of compact disc players are tested, the long-term rate of defects is 5%. Let X = the number of defective boards in a random sample size of

n  is equal to 25,

so X ~ Bin(25, 0.05)

(Round to three decimal places.)

 

(Part a) Please Determine P(X ≤ 2).


(Part b) Please Determine P(X ≥ 5).


(Part c) Please Determine P(1 ≤ X ≤ 4).


(Part d) What is the probability that none of the 25 boards is defective? 

 

(Part e) Calculate the expected value and standard deviation of X. (Round the standard deviation to two decimal places.)

expected value ___  boards 

standard deviation___ boards

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