Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 11 couples who plan to marry, find the probability of the following. Round the answers to four decimal places.
Source: Time magazine.
Part 1
At least 6 couples will have a destination wedding
P (at least 6 couples will have a destination wedding) =.0412
Part 2 out of 3
Fewer than 5 couples will have a destination wedding
P (fewer than 5 couples will have a destination wedding) =
Given
p = 0.26 ( 26% of couple are planning destinatoion wedding )
n = 11 ( We have random sample of 11 couples )
We are assuming that variable is Binomial distribution .
i.e X ~ B ( n =11 , p = 0.26 )
Its PDF will be given by
P(X=x) = ..... (**)
(a)
To find Probability that atleast 6 couples will have a destinatoion wedding .
So we need to find P( X 6 )
P( X 6 ) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10) + P(X=11)
= + +......+
{ Using ( ** ) }
After calculation we get
P( X 6 ) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10) + P(X=11)
P( X 6 ) = 3.16695*10-02 +7.94793*10-03 +1.39626*10-03 +1.63526*10-04 +1.1491*10-05 + 3.67034*10-07
P( X 6 ) = 0.04118907 0.0412
Hence
Pr( atleast 6 couples will have a destinatoion wedding ) = 0.0412
(b)
To find Probability that fewer than 5 couples will have a destinatoion wedding .
So here we need to find P( X < 5 )
P( X < 5 ) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)
=
= + ++......+
= 0.03643753 + 0.14082613 + 0.24739725 + 0.26077007 + 0.18324383
P( X < 5 ) = 0.8686748 0.8687
Hence
P( fewer than 5 couples will have a destinatoion wedding ) = 0.8687
{ Note that :- In part (b) i.e Part 2 of 3 , if we were asked that to find probability almost 5 couples will have a destinatoion wedding then we would be finding P(X 5 ) , but in this case , since we need to find probability of fewer than 5 , so we find P( X < 5 ) }
Assume the variable is binomial. In a random sample of 11 couples who plan to marry, find the probability of the following.
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 12 couples who plan to marry, find the probability of the following. Round the answers to four decimal places.Source: Time magazine.Part 1 out of 3Fewer than 6 couples will have a destination weddingP (fewer than 6 couples will have a destination wedding) =
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 10 couples who plan to marry, find the probability of the following. Round the answers to four decimal places. Source: Time magazine. Exactly 5 couples will have a destination wedding P (exactly 5 couples will have a destination wedding) = _______
Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 9 couples who plan to marry, find the probability of the following. Round the answers to four decimal places.Source: Time magazine.Part 1 out of 3Fewer than 3 couples will have a destination weddingP (fewer than 3 couples will have a destination wedding) =
Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 8 couples who plan to marry, find the probability of the following. Round the answers to at least four decimal places. Part 1 of 3 (a) At least 4 couples will have a destination wedding P(at least 4 couples will have a destination wedding)- 0.1281 Part: 1/3 Part 2 of 3 (b) Fewer than...
Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 3 couples who plan to marry, find the probability of the following. Round intermediate calculations and final answers to three decimal places. Part 1 of 3 (a) Fewer than 2 couples will have a destination wedding. Pfewer than 2 couples will have a destination wedding) - 0.832 Part: 1/3 Part 2 of 3 (b)...
Twenty-six percent of couples who plan tomarry this year are planning destination weddings. In a ramdomsample of 12 couples who plan to marry, find the probability thatExactly 6 couples will have a destination wedding, At lease 6couples will have a destination wedding, and Fewer that 5 coupleswill have a destination wedding.
20201010_141910.jpgDestination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a ramdom sample of 3 couples who plan to marry, find the probability of the following. Round intermediate calculations and fiñal answers to three decimal places. Part 1 of 3 (a) At least 1 couple will have a destination wedding. P(at least I couple will have a destination wedding) =
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X<5), n=6, p=0.5
Assume the random variable Xhas a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X < 4), n = 6, p = 0.6
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X=6), n=7, p=0.4