Opinion reported that 5% of Malaysians are afraid of being alone in a house at  night. If a random sample of 20 Malaysian is selected, find these probabilities by using  the binomial table.  (a) Write the distribution of X.     (b) Calculate the probability that there are exactly two people in the sample who are afraid of being alone at night.    (c) Calculate the probability that there are at most three people in the sample who  are afraid being alone at night.     (d) Calculate the mean and standard deviation of binomial distribution X.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Public Opinion reported that 5% of Malaysians are afraid of being alone in a house at  night. If a random sample of 20 Malaysian is selected, find these probabilities by using  the binomial table. 

(a) Write the distribution of X.  

 

(b) Calculate the probability that there are exactly two people in the sample who are afraid of being alone at night. 

 

(c) Calculate the probability that there are at most three people in the sample who  are afraid being alone at night.  

 

(d) Calculate the mean and standard deviation of binomial distribution X.

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