SOLUTION: Eighty percent of (80%)of business travelers carry either a cell phone or a laptop. Assume a binomial probability distribution for the number x of business travelers carrying a cel

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Question 842552: Eighty percent of (80%)of business travelers carry either a cell phone or a laptop. Assume a binomial probability distribution for the number x of business travelers carrying a cell phone or a laptop om a given sample.
Suppose that a sample of 15 business travelers is randomly selected.
A)what are the possible values of the number of business travelers carrying a cell phone or a laptop in the sample? x=
B)What is the expected number of business travelers carrying a phone or a laptop in such a sample?
C) Is this probability distribution skewed to right or left?
D)Compute the standard deviation of the number of business travelers carrying a phone or a laptop in such a sample.
E)What is the probability that exactly 8 business travelers in a sample carry a cell phone or a laptop?
F)What is the probability that 7 of the 15 business travelers have neither a cell phone nor a laptop?
G)What is the probability that at least 10(ten) business travelers in the sample have a cell phone or a laptop?


I'm having trouble with this problem
thank you in advance for your help :)

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p(carry either a cell phone or a laptop) = .8 & q = .2 and n = 15
A)what are the possible values of the number of business travelers carrying a cell phone or a laptop in the sample?
0 ≤ x ≤ 15
B)What is the expected number of business travelers carrying a phone or a laptop in such a sample?
C) Is this probability distribution skewed to right or left?
Note: distributions with fewer observations on the left (toward lower values) are said to be skewed left.
D)Compute the standard deviation of the number of business travelers carrying a phone or a laptop in such a sample.
E)What is the probability that exactly 8 business travelers in a sample carry a cell phone or a laptop?
TI Calculator: binompdf(n, p, x-value) = binompdf(15, .8,8)
F)What is the probability that 7 of the 15 business travelers have neither a cell phone nor a laptop? binompdf(15, .2,7)
G)What is the probability that at least 10(ten) business travelers in the sample have a cell phone or a laptop?
1 – binomcdf(n, p, largest x-value)= 1 – binomcdf(15, .8, 9)
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