SOLUTION: A recent issue of Bride Magazine suggested that couple planning their wedding should expect two-thirds of those who are sent an invitation to respond that they will attend. Rich
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Question 200767: A recent issue of Bride Magazine suggested that couple planning their wedding should expect two-thirds of those who are sent an invitation to respond that they will attend. Rich and Stacey are planning to be married later this year. They plan on sending 197 invitations
a) How many guests would you expect to accept the invitation?
b) What is the standard deviation?
c) What is the probability 140 or more will accept the invitation?
d) What is the probability exactly 140 will accept the invitation
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A recent issue of Bride Magazine suggested that couple planning their wedding should expect two-thirds of those who are sent an invitation to respond that they will attend. Rich and Stacey are planning to be married later this year. They plan on sending 197 invitations
a) How many guests would you expect to accept the invitation?
Equation:
(2/3)*197 = 131.3
Rounding up you get 133
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b) What is the standard deviation?
Std. dev = sqrt(npq) = sqrt[197*(2/3)(1/3)] = 6.616..
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c) What is the probability 140 or more will accept the invitation?
It's binomial with mean = 131.3 and std. dev = 6.616
Ans: 1 - binomcdf(197,(2,3),139)= 0.1076...
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What is the probability exactly 140 will accept the invitation
Ans: binompdf(197,(2/3),140)= 0.02599...
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Cheers,
Stan H.
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